数据驱动控制方法在交通控制中的应用研究
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摘要
随着机动车保有量的迅速增长,交通拥堵现象越来越司空见惯。如何合理利用现有交通设施,通过提高管理和控制水平,使交通系统充分发挥其能力,提高道路运行效率,成为解决交通问题的有效途径。
     本文研究了将数据驱动控制方法应用于过饱和单交叉口排队长度均衡控制、干线相关占有率均衡控制、快速路出入口匝道控制等若干问题。论文的主要研究内容和创新点总结如下:
     第一、基于存储转发建模方法,将迭代学习控制应用于过饱和单交叉口的排队长度均衡控制中,使交叉口各相位的排队长度趋于一致,考虑了交通需求满足严格重复、非严格重复等情况,给出了相应的收敛性分析,并通过PARAMICS仿真验证了有效性。
     第二、为了减少在线计算量,给出了基于多参数规划的单交叉口均衡控制方法,定义了排队长度均衡的性能指标,离线得到了信号配时控制律的显式表达形式,在线根据排队长度参数向量所在的凸区域便可求得对应的信号配时策略,并通过PARAMICS验证了其有效性。
     第三、将匝道控制的基本思想应用于过饱和主干线控制中,给出了相关占有率临界同步和临界相关占有率的定义,通过动态调整上下游交叉口的信号配时策略,使各支路的相关占有率趋于均衡,避免产生绿灯时间损失、溢流、死锁等现象,主干线系统输出达到最大,并通过PARAMICS验证了策略的有效性。
     第四、基于快速路实际运行产生的检测数据,将迭代反馈整定、虚拟参考反馈整定等若干数据驱动控制方法应用于快速路ALINEA控制器参数整定,通过PARAMICS验证了有效性。将自抗扰控制方法应用于快速路入口匝道控制中,通过PARAMICS验证了有效性。针对城市快速路出口匝道车辆无法正常、快速地驶离主路的现象,给出了主路出口匝道与辅路下游交叉口协调控制算法,仿真验证了该策略可提高快速路服务水平。
Along with the rapid growth of motor vehicle quantities, traffic jam phenomenon is more and more common. How to reasonably use the existing traffic facilities and improve the level of management and control become an effective way to solve the traffic problems.
     This dissertation focuses on applications of data-driven control approaches in queuing length balancing control of urban oversaturated isolated intersection, relative occupancy balancing control of arterial and on-ramp&off-ramp control of freeway. The main research contents and key innovations are summarized as follows:
     1. Based on store-and-forward modeling, apply the queuing length balancing control to isolated intersection using data-driven control methods such as iterative learning control (ILC) when traffic demand satisfies the repetitiveness or non-repetitiveness situation. The convergences of these improved algorithms are proved respectively. The queue of each phase tends to be equal. The effectiveness is verified via PARAMICS platform.
     2. In order to reduce the on-line amount of calculation, the queuing length balancing control of isolated intersection via multi-parametric programming is given. The definition of performance index of queuing length balancing is proposed and the signal timing is solved off-line. The the signal timing strategy is obtained on-line according to the convex area of queuing length parameter vector. The effectiveness is also verified via PARAMICS platform.
     3. The definition of critical synchronization and critical relative occupancy is proposed. Based on the basic idea of ramp control, the relative occupancy balancing control of main trunk road is applied to maximize the output of control system and avoid wasted green time, spillover, gridlock via adjusting the signal timing of upstream and downstream intersections. The effectiveness is also verified via PARAMICS platform.
     4. Based on the detection data of the actual operation of freeway, data-driven control methods such as iterative feedback tuning (IFT), virtual reference feedback tuning (VRFT) are firstly applied to tune the ALINEA controller parameter and also verified via PARAMICS platform. Active disturbance rejection control (ADRC) is applied to freeway ramp metering and the effectiveness is also verified via PARAMICS platform. Vehicles of off-ramp can not travel off the main road rapidly. Coordination control strategy of off-ramp and downstream intersection of side road is designed and also verified via simulations.
引文
[1]Parsons, G. F. The parallel flow intersection:A new high capacity urban intersection[C].5th Advanced Forum on Transportation of China. Beijing, China. October 17.2009.
    [2]吴兵,李晔.交通管理与控制(第4版)[M].北京:人民交通出版社.2009.
    [3]金治富,翟润平.过饱和交叉口的动态最优控制策略[J].道路交通与安全.2006.6(3):11-13,16.
    [4]Gazis, D. C. Optimum control of a system of oversaturated intersections[J]. Operations Research.1964.12(6):815-831.
    [5]王殿海.交通流理论[M].北京:人民交通出版社.2002.
    [6]Abu-Lebdeh, G,Benekohal, R. F. Design and evaluation of dynamic traffic management strategies for congested conditions[J]. Transportation Research Part A.2003.37(2):109-127.
    [7]Gazis, D. C.,Potts, R. B. The oversaturated intersection[C]. Second International Symposium on Theory of Road Traffic Flow. London, England. June 25-27.1963.
    [8]Green, D. H. Control of oversaturated intersections[J]. Operational Research Quarterly.1967. 18(2):161-173.
    [9]Longley, D. A control strategy for congested, computer-controlled traffic network[J]. Transportation Research.1968.2(4):391-408.
    [10]Michalopoulos, P. G.,Stephanopoulos, G. Oversaturated signal systems with queue length constraints:Systems of intersections [J]. Transportation Research.1977.11(6):423-428.
    [11]Michalopoulos, P. G,Stephanopoulos, G. Oversaturated signal systems with queue length constraints:Single intersection [J]. Transportation Research.1977.11(6):413-421.
    [12]Abu-Lebdeh, G.,Benekohal, R. F. Development of traffic control and queue management procedures for oversaturated arterials[J]. Transportation Research Record.1997.1603:119-127.
    [13]Abu-Lebdeh, G.,Chen, H.,Benekohal, R. F. Modeling traffic output for design of dynamic multi-cycle control in congested conditions[J]. Journal of Intelligent Transportation Systems:Technology, Planning, and Operations.2007.11(1):25-40.
    [14]Girianna, M.,Benekohal, R. F. Using genetic algorithms to design signal coordination for oversaturated networks[J]. Journal of Intelligent Transportation Systems:Technology, Planning, and Operations.2004.8(2):117-129.
    [15]Aboudolas, K.,Papageorgiou, M.,Kosmatopoulos, E. Store-and-forward based methods for the signal control problem in large-scale congested urban road networks[J]. Transportation Research Part C. 2009.17(2):163-174.
    [16]Aboudolas, K.,Papageorgiou, M.,Kouvelas, A., etc. A rolling-horizon quadratic-programming approach to the signal control problem in large-scale congested urban road networks[J]. Transportation Research Part C.2010.18(5):680-694.
    [17]Chang, T.-H.,Lin, J.-T. Optimal signal timing for an oversaturated intersection[J]. Transportation Research Part B.2000.34(6):471-491.
    [18]Chang, T.-H.,Sun, G.-Y. Modeling and optimization of an oversaturated signalized network[J]. Transportation Research Part B.2004.38(8):687-707.
    [19]Wu, X. Modeling traffic flow on oversaturated arterials[D]. Minnesota, USA:University of Minnesota.2010.
    [20]吴洋.干道过饱和交叉口群的实时交通控制策略研究[D].成都:西南交通大学.2009.
    [21]郭海锋.局部拥挤条件下城市道路交通信号控制方法研究[D].吉林:吉林大学.2008.
    [22]袁长亮.过饱和道路交通控制信号周期优化解分析[J].道路交通与安全.2008.8(6):19-24.
    [23]Shepherd, S. Traffic control in over-saturated conditions[J]. Transport Reviews.1994.14(1): 13-43.
    [24]Park, B.,Messer, C. J.,Urbanik, T. Enhanced genetic algorithm for signal-timing optimization of oversaturated intersections[J]. Transportation Research Record.1999.1727:32-41.
    [25]Lo, H. K.,Chow, A. H. F. Control strategies for oversaturated traffic[J]. Journal of Transportation Engineering.2004.130(4):466-478.
    [26]Hu, H.,Wu, X.,Liu, H. X. A simple forward-backward procedure for real-time signal timing adjustment on oversaturated arterial networks[C].14th International IEEE Conference on Intelligent Transportation Systems. Washington, DC, United states. October 5-7.2011.
    [27]马万经,谢涵洲,安琨.信号控制交叉口过饱和状态识别研究综述[J].交通信息与安全.2011.29(5):1-4.
    [28]Liu, H. X.,Wu, X.,Ma, W., etc. Real-time queue length estimation for congested signalized intersections[J]. Transportation Research Part C.2009.17(4):412-427.
    [29]Lighthill, M. J.,Whitham, G B. On kinematic waves I:Flood movement in long rivers. Ⅱ:A theory of traffic flow on long crowded roads.[J]. Proceeding of Royal Society A.1955.229(1178): 281-345.
    [30]Richards, P. I. Shock waves on the highway[J]. Operations Research.1956.4(1):42-51.
    [31]Michalopoulos, P. G.,Stephanopoulos, G.,Stephanopoulos, G. Application of shock wave theory to traffic signal control[J]. Transportation Research Part B.1981.15B(1):35-51.
    [32]Wu, X.,Liu, H. X.,Gettman, D. Identification of oversaturated intersections using high-resolution traffic signal data[J]. Transportation Research Part C.2010.18(4):626-638.
    [33]Diakaki, C. Integrated control of traffic flowin corridor networks[D]. Chania, Greece: Technical University of Crete.1999.
    [34]Diakaki, C.,Papageorgiou, M.,McLean, T. Integrated traffic-responsive urban corridor control strategy in Glasgow, Scotland:Application and evaluation [J]. Transportation Research Record.2000. 1727:101-111.
    [35]武长顺,罗泽涛.中国城市交通问题研究[M].北京:中国科学技术出版社.2000.
    [36]Papageorgiou, M.,Blosseville, J.-M.,Hadj-Salem, H. Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris:Part I:Modelling[J]. Transportation Research Part A.1990.24(5):345-359.
    [37]Papageorgiou, M.,Blosseville, J.-M.,Hadj-Salem, H. Modelling and real-time control of traffic flow on the southern part of Boulevard Peripherique in Paris:Part Ⅱ:Coordinated on-ramp metering[J]. Transportation Research Part A.1990.24(5):361-370.
    [38]Papageorgiou, M.,Diakaki, C.,Dinopoulou, V., etc. Review of road traffic control strategies[J]. Proceedings of the IEEE.2003.91(12):2043-2067.
    [39]Papageorgiou, M.,Kotsialos, A. Freeway ramp metering:An overview [C]. IEEE Intelligent Transportation Systems Proceedings. Dearborn, MI, USA. October 1-3.2000.
    [40]杨晓光,狄姗.城市高架路出口匝道衔接路段交通组织方法研究[J].交通运输工程与信息学报.2003.1(2):49-53.
    [41]熊烈强,邵春福,王富,李杰.出口匝道连接处通行能力分析计算模型[J].北京交通大学学报.2005.29(3):70-72,76.
    [42]Cassidy, M. J.,Anani, S. B.,Haigwood, J. M. Study of freeway traffic near an off-ramp[J]. Transportation Research Part A.2002.36(6):563-572.
    [43]杨晓光.考虑进出口匝道排队约束的城市快速道路交通系统动态控制方法[J].西安公路交通大学学报.1999.19(2):20-26.
    [44]Lecouffe, M.-P. MAUD:A dynamic single-assignment system[J]. IEE Journal on Computers and Digital Techniques.1979.2(2):75-79.
    [45]侯忠生,许建新.数据驱动控制理论及方法的回顾和展望[J].自动化学报.2009.35(6):650-667.
    [46]Uchiyama, M. Formulation of high-speed motion pattern of a mechanical arm by trial[J]. Control Engineering.1978.14(6):706-712.
    [47]Arimoto, S.,Kawamura, S.,Miyazaki, F. Bettering operation of robots by learning[J]. Journal of Robotic Systems.1984.1(2):123-140.
    [48]Moore, K. L. Iterative learning control for deterministic systems[M]. New York:Springer Verlag.1993.
    [49]孙明轩,黄宝健.迭代学习控制[M].北京:国防工业出版社.1998.
    [50]Chen, Y.,Wen, C. Iterative learning control:Convergence, robustness and applications[M]. Berlin:Springer Verlag.1999.
    [51]Xu, J.-X.,Tan, Y. Linear and nonlinear iterative learning control[M]. Berlin:Springer Verlag. 2003.
    [52]许建新,侯忠生.学习控制的现状与展望[J].自动化学报.2005.31(6):943-955.
    [53]Chen, Y.,Moore, K. L. Iterative learning control:Brief survey and categorization[J]. IEEE Transactions on Systems, Man, and Cybernetics, Part C:Applications and Reviews.2007.37(6): 1099-1121.
    [54]Hou, Z.,Xu, J.-X.,Yan, J. An iterative learning approach for density control of freeway traffic flow via ramp metering[J]. Transportation Research Part C.2008.16(1):71-97.
    [55]侯忠生.非线性系统参数辨识、自适应控制及无模型学习自适应控制[D].沈阳:东北大学.1994.
    [56]侯忠生,韩志刚.鲁棒的非线性系统无模型学习自适应控制[J].控制与决策.1995.10(2):137-142.
    [57]Hou, Z.,Huang, W. The model-free learning adaptive control of a class of SISO nonlinear systems[C]. American Control Conference. Albuquerque, NM, USA. June 4-6.1997.
    [58]侯忠生.非参数模型及其自适应控制理论[M].北京:科学出版社.1999.
    [59]Zhang, B.,Zhang, W. Adaptive predictive functional control of a class of nonlinear systems[J]. ISA Transactions.2006.45(2):175-183.
    [60]Tan, K. K.,Lee, T. H.,Huang, S. N., etc. Adaptive predictive control of a class of SISO nonlinear systems[J]. Dynamics and Control.2001.11(2):151-174.
    [61]韩志刚.无模型控制器的应用[J].控制工程.2002.9(4):22-25.
    [62]韩志刚.无模型控制方法在化肥生产中的应用[J].控制理论与应用.2004.21(6):858-863.
    [63]王春蔚.基于无模型自适应控制理论的局部入口匝道控制方法研究[D].北京:北京交通大学.2005.
    [64]赵欢.单信号交叉口绿灯时间无模型自适应控制[D].北京:北京交通大学.2009.
    [65]周强,瞿伟廉.安装MR阻尼器工程结构的非参数模型自适应控制[J].地震工程与工程振动.2004.24(4):127-132.
    [66]刘纯国,隋振,付文智,李明哲.板材多点成形过程的非参数模型及自适应控制[J].控制工程.2004.11(4):306-308.
    [67]Hjalmarsson, H.,Gunnarsson, S.,Gevers, M. A convergent iterative restricted complexity control design scheme[C].33rd IEEE Conference on Decision and Control. Lake Buena Vista, FL, USA. December 14-16.1994.
    [68]Kammer, L. C.,De Bruyne, F.,Bitmead, R. R. Iterative feedback tuning via minimization of the absolute error[C].38th IEEE Conference on Decision and Control. Phoenix, AZ, USA. December 7-10. 1999.
    [69]Mossberg, M. Controller tuning via minimization of time weighted absolute error[C]. American Control Conference. Boston, MA, United states. June 30-July 2.2004.
    [70]Prochazka, H.,Gevers, M.,Anderson, B. P. O., etc. Iterative feedback tuning for robust controller design and optimization[C].44th IEEE Conference on Decision and Control and European Control Conference. Seville, Spain. December 12-15.2005.
    [71]Veres, S.,Hjalmarsson, H. Tuning for robustness and performance using iterative feedback tuning[C].41st IEEE Conference on Decision and Control. Las Vegas, NV, United states. December 10-13.2002.
    [72]Graham, A. E.,Young, A. J.,Xie, S. Q. Rapid tuning of controllers by IFT for profile cutting machines[J]. Mechatronics.2007.17(2-3):121-128.
    [73]Jo, S. E.,Kim, S. W. Normalized iterative feedback tuning with PD-type modifiedfeedback experiment[C]. IEEE International Symposium on Industrial Electronics. Pusan, Republic of Korea. June 12-16.2001.
    [74]Solari, G.,Gevers, M. Unbiased estimation of the Hessian for iterative feedback tuning (IFT)[C]. 43rd IEEE Conference on Decision and Control. Nassau, Bahamas. December 14-17.2004.
    [75]Hjalmarsson, H.,Gevers, M.,Gunnarsson, S., etc. Iterative feedback tuning:Theory and applications[J]. IEEE Control Systems.1998.18(4):26-41.
    [76]王卫红,侯忠生.基于迭代反馈调整的直流双闭环调速系统设计[C].中国控制会议.哈尔滨,中国August 7-11.2006.
    [77]Codrons, B.,De Bruyne, F.,De Wan, M., etc. Iterative feedback tuning of a nonlinear controller for an inverted pendulum with a flexible transmission[C]. IEEE International Conference on Control Applications. Trieste, Italy. September 1-4.1998.
    [78]Hamamoto, K.,Fukuda, T.,Sugie, T. Iterative feedback tuning of controllers for a two-mass spring system with friction[C].39th IEEE Confernce on Decision and Control. Sysdney, NSW, Australia. December 12-15.2000.
    [79]Tay, A.,Khuen Ho, W.,Deng, J., etc. Control of photoresist film thickness:Iterative feedback tuning approach[J]. Computers and Chemical Engineering.2006.30(3):572-579.
    [80]Hjalmarsson, H. Iterative feedback tuning-An overview[J]. International Journal of Adaptive Control and Signal Processing.2002.16(5):373-395.
    [81]Savaresi, S. M.,Guardabassi, G. O. Approximate I/O feedback linearization of discrete-time non-linear systems via virtual input direct design[J]. Automatica.1998.34(6):715-722.
    [82]Guardabassi, G. O.,Savaresi, S. M. Virtual reference direct design method:An off-line approach to data-based control system design[J]. IEEE Transactions on Automatic Control.2000.45(5):954-959.
    [83]Campi, M. C.,Lecchini, A.,Savaresi, S. M. Virtual reference feedback tuning (VRFT):A new direct approach to the design of feedback controllers[C].39th IEEE Confernce on Decision and Control. Sydney, NSW, Australia. December 12-15.2000.
    [84]Nakamoto, M. An application of the virtual reference feedback tuning for an MIMO process[C]. SICE Annual Conference. Sapporo, Japan. August 4-6.2004.
    [85]Campi, M. C.,Savaresi, S. M. Virtual reference feedback tuning for non-linear systems[C].44th IEEE Conference on Decision and Control, and European Control Conference. Seville, Spain. December 12-15.2005.
    [86]Campi, M. C.,Savaresi, S. M. Direct nonlinear control design:The virtual reference feedback tuning (VRFT) approach[J]. IEEE Transactions on Automatic Control.2006.51(1):14-27.
    [87]Campi, M. C.,Lecchini, A.,Savaresi, S. M. Virtual reference feedback tuning:A direct method for the design of feedback controllers[J]. Automatica.2002.38(8):1337-1346.
    [88]Lecchini, A.,Campi, M. C.,Savaresi, S. M. Virtual reference feedback tuning for two degree of freedom controllers[J]. International Journal of Adaptive Control and Signal Processing.2002.16(5): 355-371.
    [89]Lecchini, A.,Campi, M. C.,Savaresi, S. M. Sensitivity shaping via virtual reference feedback tuning[C].40th IEEE Conference on Decision and Control. Orlando, FL, United states. December 4. 2001.
    [90]Sala, A.,Esparza, A. Extensions to "virtual reference feedback tuning:A direct method for the design of feedback controllers"[J]. Automatica.2005.41(8):1473-1476.
    [91]Previdi, F.,Schauer, T.,Savaresi, S. M., etc. Data-driven control design for neuroprotheses:A virtual reference feedback tuning (VRFT) approach[J]. IEEE Transactions on Control Systems Technology.2004.12(1):176-182.
    [92]Yabui, S.,Yubai, K.,Hirai, J. Direct design of switching control system by VRFT-application to vertical-type one-link arm[C]. Proceedings of the SICE Annual Conference. Takamatsu, Japan. September 17-20.2007.
    [93]Previdi, F.,Fico, F.,Belloli, D., etc. Virtual reference feedback tuning (VRFT) of velocity controller in self-balancing industrial manual manipulators[C]. Proceedings of the 2010 American Control Conference. Baltimore, MD, United states. June 30-July 2.2010.
    [94]Safonov, M. G.,Tsao, T.-C. The unfalsified control concept:A direct path from experiment to controller, in Feedback Control, Nonlinear Systems and Complexity[M]. Berlin:Springer-Verlag.1995.
    [95]Safonov, M. G.,Tsao, T.-C. Unfalsified control concept and learning[C].2nd IEEE International Symposium on Requirements Engineering. York, Engl. March 27-29.1994.
    [96]Safonov, M. G. Unfalsified control:A behavioral approach to learning and adaptation[C].40th IEEE Conference on Decision and Control. Orlando, FL, United states. December 4-7.2001.
    [97]Jun, M.,Safonov, M. G. Automatic PID tuning:An application of unfalsified control[C]. IEEE International Symposium on Computer-Aided Control System Design. Kohala Coat-Island, HI, USA. August 22-27.1999.
    [98]Saeki, M. Unfalsified control approach to parameter space design of PID controllers[C].42nd IEEE Conference on Decision and Control. Maui, HI, United states. December 9-12.2003.
    [99]Saeki, M.,Hamada, O.,Wada, N., etc. PID gain tuning based on falsification using bandpass filters[C]. SICE-ICASE International Joint Conference. Busan, Republic of Korea. October 18-21.2006.
    [100]Van Helvoort, J.,De Jager, B.,Steinbuch, M. Sufficient conditions for data-driven stability of ellipsoidal unfalsified control[C].45th IEEE Conference on Decision and Control. San Diego, CA, United states. December 13-15.2006.
    [101]Van Helvoort, J.,De Jager, B.,Steinbuch, M. Ellipsoidal unfalsified control:Stability[C]. American Control Conference. Minneapolis, MN, United states. June 14-16.2006.
    [102]韩京清.一类不确定对象的扩张状态观测器[J].控制与决策.1995.10(1):85-88.
    [I03]Zheng, Q.,Chen, Z.,Gao, Z. A practical dynamic decoupling control approach[J]. Control Engineering Practice.2009.17(9):1016-1025.
    [104]Zheng, Q.,Dong, L.,Gao, Z. A novel control system design for vibrational MEMS gyroscopes[J]. Sensors and Transducers Journal.2007.78(4):1073-1082.
    [105]Rosenkrantz, W. A. Little's theorem:A stochastic integral approach[J]. Queueing Systems. 1992.12(3/4):319-324.
    [106]Wunderlich, R.,Liu, C.,Elhanany, I., etc. A novel signal-scheduling algorithm with quality-of-service provisioning for an isolated intersection[J]. IEEE Transactions on Intelligent Transportation Systems.2008.9(3):536-547.
    [107]Lin, W.-H.,Lo, H. K.,Xiao, L. A quasi-dynamic robust control scheme for signalized intersections[J]. Journal of Intelligent Transportation Systems:Technology, Planning, and Operations. 2011.15(4):223-233.
    [108]齐驰,侯忠生,贾琰.基于排队长度均衡的交叉口信号配时优化策略[J].控制与决策.2012.27(8):1191-1194,1200.
    [109]宋夏.过饱和状态下路网均衡控制方法研究[D].成都:西南交通大学.2012.
    [110]Robert, L.,Gordon, P. E.,Warren Tighe, P. E. Traffic control systems handbook[M]. Washington, DC:2005.
    [111]毛红阁.单交叉口路口信号控制方法研究[D].西安:长安大学.2009.
    [112]李罗明.武汉市交通拥堵问题研究[D].武汉:武汉理工大学.2005.
    [113]李江,傅晓光,李作敏.现代道路交通管理[M].北京:人民交通出版社.2000.
    [114]沈国江.城市道路交通智能控制技术研究[D].杭州:浙江大学.2004.
    [115]Papageorgiou, M. An integrated control approach for traffic corridors[J]. Transportation Research Part C.1995.3(1):19-30.
    [116]Dinopoulou, V.,Diakaki, C.,Papageorgiou, M. Simulation investigations of the traffic-responsive urban control strategy TUC[C]. IEEE Intelligent Transportation Systems Conference Proceeding. Dearborn, MI, USA. October 1-3.2000.
    [117]Dinopoulou, V.,Diakaki, C.,Papageorgiou, M. Applications of the urban traffic control strategy TUC[J]. European Journal of Operational Research.2006.175(3):1652-1665.
    [118]Dinopoulou, V.,Diakaki, C.,Papageorgiou, M. Application and evaluation of the signal traffic control strategy TUC in Chania[J]. Journal of Intelligent Transportation Systems:Technology, Planning, and Operations.2005.9(3):133-143.
    [119]Diakaki, C.,Dinopoulou, V.,Aboudolas, K., etc. Extensions and new applications of the traffic-responsive urban control strategy:Coordinated signal control for urban networks [J]. Transportation Research Record.2003.1856(1):202-211.
    [120]徐洪峰,郑明明,李克平.单点自适应控制策略的时间参数和相位结构研究[J].交通与计算机.2006.24(4):22-25.
    [121]Payne, H. J. Critical review of a macroscopic freeway model[C]. Engineering Foundation Conference on Research Directions in Computer Control of Urban Traffic Systems. Pacific Grove, CA, USA. Febrary 11-16.1979.
    [122]Payne, H. J. Models of freeway traffic and control[J]. Mathematical Models of Public Systems, Simulation Council Proceedings.1971.1(1):51-61.
    [123]Papageorgiou, M.,Blosseville, J.-M.,Hadj-Salem, H. Macroscopic modelling of traffic flow on the Boulevard Peripherique in Paris[J]. Transportation Research Part B.1989.23(1):29-47.
    [124]吴娇蓉.交通系统仿真及应用[M1.上海:同济大学出版社.2004.
    [125]毛保华,杨肇夏,陈海波.道路交通仿真技术与系统研究[J].北方交通大学学报.2002.26(5):37-46.
    [126]邹志军,杨东援.道路仿真研究综述[J].交通运输工程学报.2001.1(2):88-91.
    [127]钟邦秀,杨晓光.面向对象微观交通仿真系统的研究与实现[J].系统仿真学报.2002.14(4):418-421.
    [128]陈德望,蔡伯根,吴建平.综合集成TSIS、VC和Matlab构建交通控制仿真平台[J].计算机仿真.2004.21(8):191-193,192.
    [129]Pooran, F. J.,Tarnoff, P. J.,Kalaputapu, R. RT-TRACS:Development of the real-time control logic[C]. Annual Meeting of ITS America. Houston, Texas, United states. April 15-18.1996.
    [130]Real-time traffic-adaptive signal control logic:Prototype concept description[R]. Washington D.C.:University of Arizona.1994.
    [131]Owen, L. E.,Zhang, Y.,Rao, L., etc. Traffic flow simulation using CORSIM[C]. Winter Simulation Conference. Orlando, FL, USA. December 10-13.2000.
    [132]李文勇,陈学武.基于TSIS二次开发的交通诱导系统仿真分析[J].武汉理工大学学报:交通科学与工程版.2008.32(5):798-801.
    [133]Bloomberg, L.,Dale, J. A comparison of the VISSIM and CORSIM traffic simulation models[J]. Journal of the Transportation Research Board.2000.1727(52-60.
    [134]Fellendorf, M. VISSIM:A microscopic simulation tool to evaluate actuated signal control including bus priority[J].1994.
    [135]盖春英VISSIM微观仿真系统及在道路交通中的应用[J].公路.2005.8:118-121.
    [136]罗美清,隽志才VISSIM在交叉口交通设计与运行分析中的应用[J].武汉理工大学学报:交通科学与工程版.2004.28(2):232-235.
    [137]Cameron, G,Wylie, B. J. N.,McArthur, D. Paramics:Moving vehicles on the connection machine[C]. Supercomputing Conference. Washington, DC, USA. November 14-18.1994.
    [138]庄焰,胡明伟,李德宏.微观交通仿真软件PARAMICS在ITS模拟和评价中的应用[J].系统仿真学报.2005.17(7):1655-1659.
    [139]范立权,陈阳舟,李振龙.城市快速路入口匝道控制算法的PARAMICS仿真研究[J].交通运输系统工程与信息.2007.7(6):45-50.
    [140]胡明伟,郭秀芝.用微观交通软件实现ITS模拟的比较研究[J].交通与计算机.2004.4(22):19-22.
    [141]臧志刚,陆锋,李海峰,崔海燕.7种微观交通仿真系统的性能评价与比较研究[J].交通与计算机.2007.1(25):66-70.
    [142]Hou, Z.,Xu, J.-X. Freeway traffic density control using iterative learning control approach[C]. 6th International IEEE Conference on Intelligent Transportation Systems. Shanghai, China. October 12-15.2003.
    [143]晏静文.基于迭代学习控制的快速路交通控制若干问题的研究[D].北京:北京交通大学.2010.
    [144]Yichen, Z.,Yi, Z.,Jianming, H. Iterative learning based adaptive traffic signal control[J]. J Transpn Sys Eng & IT.2010.10(6):34-40.
    [145]郑一辰,张毅,胡坚明.一种基于迭代学习的自适应交通信号控制方法[J].交通运输系统工程与信息.2010.10(6):34-40.
    [146]贺晓锋,杨玉珍,陈阳舟.基于视频图像处理的车辆排队长度检测[J].交通与计算机.2006.24(5):43-46.
    [147]赵亮.单线圈车辆检测器的研究与开发[D].济南:山东大学.2006.
    [148]Ding, J.,Zhang, Z. A simulation study of data collection based on vehicle infrastructure cooperation[C].11th International Conference of Chinese Transportation Professionals. Nanjing, China. August 14-17.2011.
    [149]蒋贤才,裴玉龙.基于定数理论的自适应信号控制延误模型[J].交通运输系统工程与信息.2008.8(3):66-70.
    [150]Webster, F. V. Traffic signal settings[M]. London:HMSO.1958.
    [151]裴玉龙,刘广萍.自适应信号控制下交叉口延误计算方法研究[J].公路交通科技.2005.22(7):110-114.
    [152]Moore, K. L.,Chen, Y.,Ahn, H.-S. Iterative learning control:A tutorial and big picture view[C]. 45th IEEE Conference on Decision and Control. San Diego, CA, United states. December 13-15.2006.
    [153]殷辰堃,许建新,侯忠生.对一类非严格重复系统的两种基于二阶内模的迭代学习控制器设计[J].北京交通大学学报:自然科学版.2010.34(5):105-110,116.
    [154]Hao, J.,Hou, Z.,Bu, X. The iterative learning approach for vehicle queuing length balanced-control of the signalized isolated intersection[C].30th Chinese Control Conference. Yantai, China. July 22-24.2011.
    [155]Yin, S.,Su, Y.,Wang, C., etc. Comparison of vehicle departure headways in Beijing and Atlanta[J]. Tsinghua Science and Technology.2011.16(3):332-336.
    [156]王建国,汪权,张鸣祥.结构地震响应线性二次型最优迭代学习控制[J].应用科学学报.2010.28(2):197-202.
    [157]Amann, N.,Owens, D. H.,Rogers, E. Iterative learning control using optimal feedback and feedforward actions[J]. International Journal of Control.1996.65(2):277-293.
    [158]Seo, W. G.Park, B. H.,Lee, J. S. Intelligent learning control for a class of nonlinear dynamic systems[J]. IEE Proceedings:Control Theory and Applications.1999.146(2):165-170.
    [159]Lee, J. H.,Lee, K. S.,Kim, W. C. Model-based iterative learning control with a quadratic criterion for time-varying linear systems[J]. Automatica.2000.36(5):641-657.
    [160]Gunnarsson, S.,Norrl6f, M. On the design of ILC algorithms using optimization[J]. Automatica. 2001.37(12):2011-2016.
    [161]Xiong, Z.,Zhang, J.,Dong, J. Optimal iterative learning control for batch processes based on linear time-varying perturbation model[J]. Chinese Journal of Chemical Engineering.2008.16(2): 235-240.
    [162]Nguyen, D. H.,Banjerdpongchai, D. An LMI approach for robust iterative learning control with quadratic performance criterion[J]. Journal of Process Control.2009.19(6):1054-1060.
    [163]Yang, S.,Qu, Z.,Fan, X., etc. Novel iterative learning controls for linear discrete-time systems based on a performance index over iterations[J]. Automatica.2008.44(5):1366-1372.
    [164]Dion, F.,Rakha, H.,Kang, Y.-S. Comparison of delay estimates at under-saturated and over-saturated pre-timed signalized intersections.[J]. Transportation Research Part B.2004.38(2): 99-122.
    [165]胡淼.基于Paramics平台的交通仿真设计[D].北京:北京交通大学.2010.
    [166]Feng, Z.,Zhang, Z.,Pi, D. Open-closed-loop PD-type iterative learning controller for nonlinear systems and its convergence[C]. Fifth World Congress on Intelligent Control and Automation. Hangzhou, China. June 15-19.2004.
    [167]Hou, Z.,Xu, J.-X.,Zhong, H. Freeway traffic control using iterative learning control-based ramp metering and speed signaling[J]. IEEE Transactions on Vehicular Technolody.2007.56(2):466-477.
    [168]皮道映,孙优贤.离散非线性时变系统开闭环PI型迭代学习控制律及其收敛性[J].自动化学报.1998.24(5):636-639.
    [169]皮道映,孙优贤.非线性时变系统开闭环P型迭代学习控制的收敛性[J].自动化学报.1999.25(3):351-354.
    [170]虞忠伟,陈辉堂,王月娟.基于反馈控制的迭代学习控制器设计[J].控制理论与应用.2001.18(5):785-791.
    [171]晏静文,侯忠生.学习增强型PID控制系统的收敛性分析[J].控制理论与应用.2010.27(6):761-768.
    [172]Tan, K. K.,Tang, J. C. Learning-enhanced PI control of ram velocity in injection molding machines[J], Engineering Applications of Artificial Intelligence.2002.15(1):65-72.
    [173]Xu, J.-X.,Lee, T.-H.,Tan, Y. Enhancing trajectory tracking for a class of process control problems using iterative learning[J]. Engineering Applications of Artificial Intelligence.2002.15(1): 53-64.
    [174]Xu, J.-X.,Panda, S. K.,Pan, Y.-J., etc. A modular control scheme for PMSM speed control with pulsating torque minimization[J]. IEEE Transactions on Industrial Electronics.2004.51(3):526-536.
    [175]Hou, Z.,Xu, J.-X. A new feedback-feedforward configuration for the iterative learning control of a class of discrete-time systems[J]. Acta Automatica Sinica.2007.33(3):323-326.
    [176]Zhang, Y.,Sun, H.,Hou, Z. A feedback-feedforward high order iterative learning control for freeway ramp metering[C]. International Conference on Intelligent Control and Information Processing. Dalian, China. August 13-15.2010.
    [177]Sun, H.,Hou, Z.,Tang, T. An iterative learning approach for train trajectory tracking control[C]. 18th IFAC World Congress. Milano, Italy. August 28-September 2.2011.
    [178]Dua, V.,Bozinis, N. A.,Pistikopoulos, E. N. A multi-parametric programming approach for mixed-integer quadratic engineering problems[J]. Computers and Chemical Engineering.2002.26(4-5): 715-733.
    [179]Dua, V.,Pistikopoulos, E. N. An algorithm for the solution of multi-parametric mixed integer linear programming problems [J]. Annals of Operations Research.2000.99(1):123-139.
    [180]Bemporad, A.,Morari, M.,Dua, V., etc. The explicit linear quadratic regulator for constrained systems[J]. Automatica.2002.38(1):3-20.
    [181]T(?)ndel, P.,Johansen, T. A.,Bemporad, A. An algorithm for multi-parametric quadratic programming and explicit MPC solutions[J]. Automatica.2003.39(3):489-497.
    [182]Suard, R.,Loberg, J.,Grieder, P., etc. Efficient computation of controller partitions in multi-parametric programming[C].43rd IEEE Conference on Decision and Control. Nassau, Bahamas. December 14-17.2004.
    [183]T(?)ndel, P.,Johansen, T. A.,Bemporad, A. Evaluation of piecewise affine control via binary search tree[J]. Automatica.2003.39(5):945-950.
    [184]Bemporad, A.,Filippi, C. Suboptimal explicit MPC via approximate multiparametric quadratic programming[C].40th IEEE Conference on Decision and Control. Orlando, FL, United states. December 4-7.2001.
    [185]Johansen, T. A.,Grancharova, A. Approximate explicit constrained linear model predictive control via orthogonal search tree[J]. IEEE Transactions on Automatic Control.2003.48(5):810-815.
    [186]张聚,王万良.基于动态规划的约束优化问题多参数规划求解方法及应用[J].控制理论与应用.2008.25(6):1135-1138.
    [187]许强,盛宁.西安市时用水量预测模型研究[J].水科学与工程技术.2008.1:62-65.
    [188]王长江.指数平滑法中平滑系数的选择研究[J].中北大学学报(自然科学版).2006.27(6):558-561.
    [189]李伟,李彦,何东之.基于线性规划的干线模糊补偿控制[J].公路交通科技.2007.24(8):110-114.
    [190]孙煦,陆化普,吴娟.北京市快速路速度-流量-密度关系研究[J].公路工程.2012.37(1):43-48.
    [191]Diakaki, C.,Papageorgiou, M.,Aboudolas, K. A multivariable regulator approach to traffic-responsive networkwide signal control[J]. Control Engineering Practice.2002.10(2):183-195.
    [192]郭海锋.绿波协调控制系统运行状态的动态监控方法[J].武汉理工大学学报:交通科学与工程版.2011.35(2):333-336.
    [193]Masher, D. P.,Ross, D. W.,Wong, P. J., etc. Guidelines for design and operation of ramp control systems[R]. Stanford Research Institute, Menlo Park, California.1975.
    [194]Papageorgiou, M.,Hadj-Salem, H.,Blosseville, J.-M. ALINEA:A local feedback control law for on-ramp metering[J]. Transportation Research Record.1991.1320:58-64.
    [195]Smaragdis, E.,Papageorgiou, M.,Kosmatopoulos, E. A flow-maximizing adaptive local ramp metering strategy[J]. Transportation Research Part B.2004.38(3):251-270.
    [196]Smaragdis, E.,Papageorgiou, M. Series of new local ramp metering strategies[J]. Transportation Research Record.2003.1856(74-86.
    [197]王秀英.快速路出口匝道控制方法研究[D].北京:北方工业大学.2011.
    [198]杨晓光.考虑进出口匝道排队约束的城市高架道路系统动态控制方法[J].西安公路交通大学学报.1999.19(2):22-28.