不确定时滞广义系统的鲁棒耗散滤波器
|
摘要
鲁棒控制理论结合系统模型参数的不确定性和外部扰动的不确定性，研究系统的鲁棒性能，弥补了现代控制理论的需要对象是精确数学模型的缺陷，使得系统的分析和综合方法更加有效、实用。近年来，鲁棒耗散滤波器引起越来越多的关注，在实际工业中，经常遇到参数不确定和含有时滞的耗散滤波器设计问题，因此，研究耗散滤波问题具有重要的理论意义和应用价值。
论文研究了时滞广义系统的鲁棒耗散滤波器的设计问题，文中所研究的系统模型和设计方法是已有相关文献模型和原有方法的推广和改进。主要内容如下：
首先，简要的介绍了鲁棒控制的产生和应用背景、鲁棒耗散滤波理论的发展、研究概况及鲁棒耗散滤波的研究方法。
其次，研究了一类不确定时滞广义系统的鲁棒耗散滤波器设计问题，参数不确定性具有线性分式形式。基于Lyapunov稳定理论，通过选取适当的Lyapunov函数，分别给出了系统的鲁棒耗散滤波存在的充分条件和设计方法。仅通过求解相应的线性矩阵不等式(linear matrix inequality, LMI)就可得到鲁棒耗散滤波器。
接着，针对一类参数不确定的时滞T-S模糊广义系统，研究了该系统的鲁棒耗散滤波器设计，给出了其鲁棒耗散滤波器存在的充分条件。
然后，针对一类带有非线性扰动的时滞广义系统，通过构造Lyapunov函数和运用线性矩阵不等式的方法，研究其鲁棒耗散滤波，数值算例验证了所给算法的有效性。
最后，针对一类具有马尔可夫跳变参数的不确定随机广义时滞系统，讨论了该类系统的鲁棒非脆弱耗散滤波问题，运用线性矩阵不等式给出了系统的非脆弱滤波器存在的可解性条件。通过数值算例表明了该方法的有效性。
Robust control theory combining with parameter uncertainties and uncertainty ofexternal disturbance, researches the robust performance of system. It makes up for the lackof modern control theory needing to mathematical models, and makes the method ofsystem analysis and synthesis more effective and practical. In recent years, the robustdissipative filter is caused more and more attention. In actual industry, people often designthe dissipative filters with time-delay and parameter uncertainties. Therefore, dissipativefiltering problems have important significance and value.
In this dissertation, the robust dissipative filter design method for singular systems isconsidered. The system’s models and design methods are more generalized than othersexisting literatures. The main content as follows:
First of all, the generation and application background of robust control areconsidered. The robust dissipative filtering theory, the recent development and theresearch method for the robust dissipative filtering are also introduced.
Secondly, the robust dissipative filtering of singular systems with time-delay andparameter uncertainties are separately investigated. The uncertainties are in a fractionalform. Based on the Lyapunov theory, with constructing a Lyapunov function, the existingconditions and design method of dissipative filtering problem is solved, and the desiredproblem of filter can be constructed by solving the corresponding linear matrix inequality.
Thirdly, the problem of robust dissipative filtering for a class of time-varyingtime-delay T-S fuzzy singer systems with parameter uncertainties is considered. Thesufficient conditions on the existence of robust dissipative filters are derived.
Fourthly, by structuring Lyapunov functions, the robust dissipative filter for a class oftime-delay singular systems with nonlinear perturbation and parameter uncertainties canbe obtained by solving the corresponding linear matrix inequality. Numerical examplesare provided to illustrate the effectiveness of the design approach.
At last, the problem of robust and non-fragile dissipative filter is investigated for aclass of uncertain stochastic time-delay singer systems with Markovian jump parameters.A sufficient condition for the existence of non-fragile filter is derived in the form of linearmatrix inequality(LMI). An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.
论文研究了时滞广义系统的鲁棒耗散滤波器的设计问题，文中所研究的系统模型和设计方法是已有相关文献模型和原有方法的推广和改进。主要内容如下：
首先，简要的介绍了鲁棒控制的产生和应用背景、鲁棒耗散滤波理论的发展、研究概况及鲁棒耗散滤波的研究方法。
其次，研究了一类不确定时滞广义系统的鲁棒耗散滤波器设计问题，参数不确定性具有线性分式形式。基于Lyapunov稳定理论，通过选取适当的Lyapunov函数，分别给出了系统的鲁棒耗散滤波存在的充分条件和设计方法。仅通过求解相应的线性矩阵不等式(linear matrix inequality, LMI)就可得到鲁棒耗散滤波器。
接着，针对一类参数不确定的时滞T-S模糊广义系统，研究了该系统的鲁棒耗散滤波器设计，给出了其鲁棒耗散滤波器存在的充分条件。
然后，针对一类带有非线性扰动的时滞广义系统，通过构造Lyapunov函数和运用线性矩阵不等式的方法，研究其鲁棒耗散滤波，数值算例验证了所给算法的有效性。
最后，针对一类具有马尔可夫跳变参数的不确定随机广义时滞系统，讨论了该类系统的鲁棒非脆弱耗散滤波问题，运用线性矩阵不等式给出了系统的非脆弱滤波器存在的可解性条件。通过数值算例表明了该方法的有效性。
Robust control theory combining with parameter uncertainties and uncertainty ofexternal disturbance, researches the robust performance of system. It makes up for the lackof modern control theory needing to mathematical models, and makes the method ofsystem analysis and synthesis more effective and practical. In recent years, the robustdissipative filter is caused more and more attention. In actual industry, people often designthe dissipative filters with time-delay and parameter uncertainties. Therefore, dissipativefiltering problems have important significance and value.
In this dissertation, the robust dissipative filter design method for singular systems isconsidered. The system’s models and design methods are more generalized than othersexisting literatures. The main content as follows:
First of all, the generation and application background of robust control areconsidered. The robust dissipative filtering theory, the recent development and theresearch method for the robust dissipative filtering are also introduced.
Secondly, the robust dissipative filtering of singular systems with time-delay andparameter uncertainties are separately investigated. The uncertainties are in a fractionalform. Based on the Lyapunov theory, with constructing a Lyapunov function, the existingconditions and design method of dissipative filtering problem is solved, and the desiredproblem of filter can be constructed by solving the corresponding linear matrix inequality.
Thirdly, the problem of robust dissipative filtering for a class of time-varyingtime-delay T-S fuzzy singer systems with parameter uncertainties is considered. Thesufficient conditions on the existence of robust dissipative filters are derived.
Fourthly, by structuring Lyapunov functions, the robust dissipative filter for a class oftime-delay singular systems with nonlinear perturbation and parameter uncertainties canbe obtained by solving the corresponding linear matrix inequality. Numerical examplesare provided to illustrate the effectiveness of the design approach.
At last, the problem of robust and non-fragile dissipative filter is investigated for aclass of uncertain stochastic time-delay singer systems with Markovian jump parameters.A sufficient condition for the existence of non-fragile filter is derived in the form of linearmatrix inequality(LMI). An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.
引文
[1]苏宏业,褚健,鲁仁全等.不确定时滞系统的鲁棒控制理论[M].北京:科学出版社,2007.
[2] Davision E J. The Output Control of Linear Time Invariant Multivariable Systems withUnmeasurable Arbitrary Disturbance[C]. IEEE Tarns. Automat. Contr.,1972,17:621-629.
[3] Pearson J B, Staats P W. Robust Controllers for Linear Regulators[C]. IEEE Tarns. Automat.Contr.,1974,19:231-234.
[4]姜长生,吴庆宪,陈文华等.现代鲁棒控制基础[M].哈尔滨:哈尔滨工业大学出版社,2005.
[5] Su T J, Huang C G. Robust Stability of Delay Dependence for Linear Uncertain Systems[C].IEEE Transactions on Automatic Control,1994,39(11):2365.
[6] Choi H H, et al. Robust Observer-basedH∞Controller Design for State Delayed LinearSystems[J]. Automaatica,1997,33(9):1749-1752.
[7]郑连伟,刘晓平,张庆灵.具有时变不确定性的线性时滞系统的鲁棒H∞控制[J].自动化学报,2001,27(3):1073-1075.
[8] Park J H. Robust Guaranteed Cost Control for Uncertain Linear Differential Systems ofNeural Type[J]. Appl. Math. Comput.,2003,140:523-535.
[9] Kharitonov V L. Asymptotic Stability of an Equilibrium Position of a Family of Systems ofLinear Differential Equations[J]. Ddfferentsialjnie Uravnenija,1978,14:2086-2088.
[10] Zames G. Feedback and Optimal Sensitivity: Model Reference Transformations,Multiplicative Seminorms, and Approximate Inverses[C]. IEEE Tarns. Automat. Contr.,1981,26(2):301-320.
[11] Doyel J C. Analysis of Control Systems with Structured Uncertainty[C]. IEEE Proc. Part D.,1982,129:242-250.
[12]彭达洲,胥布工.带非线性扰动的不确定时滞系统的鲁棒稳定性[J].广东工业大学学报,2004,21(1):22-25.
[13] Wu Z G, Zhou W N. Delay-dependent Robust Stabilization for Uncertain Singular Systemswith State Delay[J]. Acta Automatica Sinica,2007,33(7):714-718.
[14]陈东彦,许立滨,徐世杰.一类离散时滞不确定系统的鲁棒控制[J].电机与控制学报,2002,6(4):317-319.
[15]李志虎,邵惠鹤.时滞系统输出反馈无源控制器设计[J].应用科学学报,2003,19(4):303-307.
[16]俞立.鲁棒控制——线形矩阵不等式处理方法[M].北京:清华大学出版社,2002.
[17] Xie L H. Output Feedback H-infinite Control of Systems with Parameter Uncertain[J]. Int JControl,1996,63(3):741-750.
[18]张先明,吴敏.线性时滞系统的时滞相关无源控制[J].控制理论与应用,2005,22(3):391-401.
[19] Moon Y S, Park P and Kwon W H. Delay-Dependent Robust Stabilization of UncertainState-delayed Systems[J]. In t. J.Control,2003,74(14):1447-1452.
[20] Gao H, Wang C. Comments and Further Results on a Descriptor System approach toH∞Control of Linear Time-delay Systems[C]. IEEE Trans Actions on Automatic Control,2003,48(3):520-525.
[21] Eun J T, Jong K H and Hong P B.H∞-output Feedback Controller Design for LinearSystems with Time-Varying Delayed State. IEEE Trans A C,1998,43(7):971-974.
[22] Niculiescu S.H∞-memoryless Control with α-stability Time Delay Systems: a LMIApproach[C]. IEEE Trans AC,1998,43(8):739-742.
[23] Hutchinson. The Filter Applied to Aerospace and Electronic Systems[C]. IEEE Trans onAerospace and Electronic Systems,1993,29(4):1321-1331.
[24]曹永岩,孙优贤.输出反馈严格正实控制器设计[J].控制与决策,1998,13(2):1660-1664.
[25]杨冬梅,张庆灵,姚波等.广义系统[M].北京:科学出版社,2004.
[26] Newcomb R W. The Semistate Description of Nonlinear Time Variable Circuits[C]. IEEETrans. Circuits and Systems,1981,28(1):62-71.
[27] Wu Z G, Zhou W N. Delay-dependent Robust Stabilization for Uncertain Singular Systemswith State Delay[J]. Acta Automatica Sinica,2007,33(7):714-718.
[28] Ma S P, Zhang C H, Cheng Z L. Delay-dependent robustH∞Control for UncertainDiscrete-time Singular Systems with Time-delays[J]. Journal of Computational and AppliedMathematics,2008,217:194-211.
[29] Lu R Q, Wang J H, Xue A K, et al. RobustH∞Filtering for a Class of Uncertain LurieTime-delay Singular Systems[J]. Acta Automatica Sinica,2007,33(3):292-296.
[30] Hu H L, Zhang Q L, Zhao D. Delay-dependent Stability of Uncertain Descriptor System withInterval Time-varying Delay[J]. International Journal of Information and Systems Sciences,2008,1(1):1-12.
[31]朱宝彦,张庆灵,佟绍成.一类T-S模糊广义系统的无源控制[J].系统工程理论与实践,2006,6(6):81-87.
[32]杨丽,张庆灵,杨晓光,刘佩勇.一类不确定广义时滞系统的鲁棒耗散控制[J].控制理论与应用,2007,24(6):1038-1042.
[33]张鹏,付艳明,段广仁.线性不确定时滞系统的鲁棒耗散滤波器[J].哈尔滨工业大学学报,2007,39(3):345-348.
[34] Li C.J, An H Y, Feng Y F. Dissipative Filtering for Linear Discrete-time Systems via LMI[C].IEEE Chinese Control and Decision Conference,2009:3866-3870.
[35] Duan G R, Lv L L, Wu A G. Robust Dissipative Filtering for Continuous-time PolytopicUncertain Neutral Systems[J]. Journal of Systems Engineering and Electronics,2009,20(3):598-606.
[36] Xu S Y, Lam J. Reduced-orderH∞Filtering for Singular Systems[J]. Systems&ControlLetters,2007,56:48-57.
[37] Carlos E. de Souzaa, Karina A. Barbosaa, Minyue F. Robust Filtering for Uncertain LinearDiscrete-time Descriptor Systems[J]. Automatica,2008,44:792-798.
[38] Lu R Q, Xu Y, Xue A K.H∞Filtering for Singular Systems with Communication Delays[J].Signal Processing,2010,90:1240-1248.
[39]刘丽涛,张鹏,宋清昆.线性中立型时滞系统的鲁棒耗散滤波器[J].控制工程,2009,5.16:39-42.
[40] Wang Y Y, Xie L H and Souza C. E. De. Robust Control Of a Class of Uncertain NonlinearSystems[J]. Systems Control Letters,1992,19:139-149.
[41] Taniguchi T, Tanaka K, Yanafuji K, Wang H O. Fuzzy Descriptor Systems: StabilityAnalysis and Design via LMIs[C]. Proceedings of the1999American Control Conference,San Diego.1999,3:1827-1831.
[42] Yoneyama J, Ichikawa A.H∞-control for Taksgi-Sugeno Fuzzy Descriptor Systems[C].IEEE Conference on Systems, Man and Cybernetics, Tokyo.1999,28-33.
[43]朱宝彦,张庆灵.参数不确定的广义T-S模糊系统的最优保成本控制[J].系统工程理论与实践,2004,12:49-57.
[44]袁宇浩,张庆灵,陈兵.离散T-S模糊广义系统的H∞控制[J].控制理论与应用,2009,26(3):332-336.
[45] Bouarar T, Guelton K, Manamanni N. Robust Fuzzy Lyapunov Stabilization for Uncertainand Disturbed Takagi-Sugeno Descriptors[J]. ISA Transactions,2010,49:447-461.
[46] Zhang H B, Shen Y Y, Feng G. Delay-dependent Stability andH∞Control for a Class ofFuzzy Descriptor Systems with Time-delay[J]. Fuzzy Sets and Systems,2009,160:1689-1707.
[47] Gong C Z, Zeng X W. A Descriptor System Approach to Uncertain Fuzzy Control SystemDesign via Fuzzy Lyapunov Functions[C]. IEEE Proceedings of the Eighth InternationalConference on Machine Learning and Cybernetics, Baoding.2009,7:498-503.
[48] Lo J C, Wu D L. Dissipative Filtering for Discrete Fuzzy Systems[C]. IEEE InternationalConference on Fuzzy Systems, HongKong.2008:361-365.
[49] Xu S Y, Dooren P V, Stefan R, et al. Robust Stability and Stabilization for Singular Systemswith State Delay and Parameter Uncertainty[C]. IEEE Trans on Automatic Control,2002,47(7):1122-1128.
[50]董心壮,张庆灵.时变不确定广义系统的鲁棒无源控制[J].控制理论与应用,2004,21(4):517-520.
[51]张秀华,张庆灵.线性广义系统无源控制[J].控制与决策,2006,21(1):81-83.
[52]艾玲,董心壮.广义时滞系统输出反馈无源控制[J].计算技术与自动化,2008.27(2):15-17.
[53]张鹏,付艳明,段广仁.线性不确定广义时滞系统的鲁棒无源滤波器设计[J].控制与决策,2006,21(11):1275-1279.
[54] Wang Z D, Liu Y R, Liu X H.H∞Filtering for Uncertain Stochastic Time-delay Systemswith Sector-bounded Nonlinearities[J]. Automatica,2008,5(44):1268-1277.
[55] Basin M, Shi P, Calderon-Alvarez D. Joint State Filtering and Parameter Estimation forLinear Stochastic Time-delay Systems[J]. Signal Processing,2011,4(91):782-792.
[56] Liu Y R, Wang Z D, Liu X H. RobustH∞Filtering for Discrete Nonlinear StochasticSystems with Time-varying Delay[J]. Mathematical Analysis and Applications,2008,1(341):318-336.
[57] Shao H Y. Delay-range-dependent robustH∞Filtering for Uncertain Stochastic Systemswith Mode-dependent Time Delays and Markovian Jump Parameters[J]. MathematicalAnalysis and Applications,2008,2(342):1084-1095.
[58]陈淼，王道波，王志胜.不确定随机跳变时滞系统非脆弱H∞滤波[J].系统工程与电子技术,2010,32(5):1019-1023.
[59] Song B, Xu S Y, Zou Y. Non-fragileH∞Filtering for Uncertain Stochastic Time-delaySystems[C]. International Journal of Innovative Compputing, Information and Control,2009,5(8):2257-2265.
[60] Wu Z G, Su H Y, Chu J. Robust Exponential Stability of Uncertain Singular Markovian JumpTime-delay Systems[J]. Acta Automatica Sinica,2010,36(4):558-563.
[61] Wu Z G, Su H Y, Chu J. Delay-dependentH∞Filtering for Singular Markovian JumpTime-delay Systems[J]. Signal Processing,2010,90(6):1815-1824.
[2] Davision E J. The Output Control of Linear Time Invariant Multivariable Systems withUnmeasurable Arbitrary Disturbance[C]. IEEE Tarns. Automat. Contr.,1972,17:621-629.
[3] Pearson J B, Staats P W. Robust Controllers for Linear Regulators[C]. IEEE Tarns. Automat.Contr.,1974,19:231-234.
[4]姜长生,吴庆宪,陈文华等.现代鲁棒控制基础[M].哈尔滨:哈尔滨工业大学出版社,2005.
[5] Su T J, Huang C G. Robust Stability of Delay Dependence for Linear Uncertain Systems[C].IEEE Transactions on Automatic Control,1994,39(11):2365.
[6] Choi H H, et al. Robust Observer-basedH∞Controller Design for State Delayed LinearSystems[J]. Automaatica,1997,33(9):1749-1752.
[7]郑连伟,刘晓平,张庆灵.具有时变不确定性的线性时滞系统的鲁棒H∞控制[J].自动化学报,2001,27(3):1073-1075.
[8] Park J H. Robust Guaranteed Cost Control for Uncertain Linear Differential Systems ofNeural Type[J]. Appl. Math. Comput.,2003,140:523-535.
[9] Kharitonov V L. Asymptotic Stability of an Equilibrium Position of a Family of Systems ofLinear Differential Equations[J]. Ddfferentsialjnie Uravnenija,1978,14:2086-2088.
[10] Zames G. Feedback and Optimal Sensitivity: Model Reference Transformations,Multiplicative Seminorms, and Approximate Inverses[C]. IEEE Tarns. Automat. Contr.,1981,26(2):301-320.
[11] Doyel J C. Analysis of Control Systems with Structured Uncertainty[C]. IEEE Proc. Part D.,1982,129:242-250.
[12]彭达洲,胥布工.带非线性扰动的不确定时滞系统的鲁棒稳定性[J].广东工业大学学报,2004,21(1):22-25.
[13] Wu Z G, Zhou W N. Delay-dependent Robust Stabilization for Uncertain Singular Systemswith State Delay[J]. Acta Automatica Sinica,2007,33(7):714-718.
[14]陈东彦,许立滨,徐世杰.一类离散时滞不确定系统的鲁棒控制[J].电机与控制学报,2002,6(4):317-319.
[15]李志虎,邵惠鹤.时滞系统输出反馈无源控制器设计[J].应用科学学报,2003,19(4):303-307.
[16]俞立.鲁棒控制——线形矩阵不等式处理方法[M].北京:清华大学出版社,2002.
[17] Xie L H. Output Feedback H-infinite Control of Systems with Parameter Uncertain[J]. Int JControl,1996,63(3):741-750.
[18]张先明,吴敏.线性时滞系统的时滞相关无源控制[J].控制理论与应用,2005,22(3):391-401.
[19] Moon Y S, Park P and Kwon W H. Delay-Dependent Robust Stabilization of UncertainState-delayed Systems[J]. In t. J.Control,2003,74(14):1447-1452.
[20] Gao H, Wang C. Comments and Further Results on a Descriptor System approach toH∞Control of Linear Time-delay Systems[C]. IEEE Trans Actions on Automatic Control,2003,48(3):520-525.
[21] Eun J T, Jong K H and Hong P B.H∞-output Feedback Controller Design for LinearSystems with Time-Varying Delayed State. IEEE Trans A C,1998,43(7):971-974.
[22] Niculiescu S.H∞-memoryless Control with α-stability Time Delay Systems: a LMIApproach[C]. IEEE Trans AC,1998,43(8):739-742.
[23] Hutchinson. The Filter Applied to Aerospace and Electronic Systems[C]. IEEE Trans onAerospace and Electronic Systems,1993,29(4):1321-1331.
[24]曹永岩,孙优贤.输出反馈严格正实控制器设计[J].控制与决策,1998,13(2):1660-1664.
[25]杨冬梅,张庆灵,姚波等.广义系统[M].北京:科学出版社,2004.
[26] Newcomb R W. The Semistate Description of Nonlinear Time Variable Circuits[C]. IEEETrans. Circuits and Systems,1981,28(1):62-71.
[27] Wu Z G, Zhou W N. Delay-dependent Robust Stabilization for Uncertain Singular Systemswith State Delay[J]. Acta Automatica Sinica,2007,33(7):714-718.
[28] Ma S P, Zhang C H, Cheng Z L. Delay-dependent robustH∞Control for UncertainDiscrete-time Singular Systems with Time-delays[J]. Journal of Computational and AppliedMathematics,2008,217:194-211.
[29] Lu R Q, Wang J H, Xue A K, et al. RobustH∞Filtering for a Class of Uncertain LurieTime-delay Singular Systems[J]. Acta Automatica Sinica,2007,33(3):292-296.
[30] Hu H L, Zhang Q L, Zhao D. Delay-dependent Stability of Uncertain Descriptor System withInterval Time-varying Delay[J]. International Journal of Information and Systems Sciences,2008,1(1):1-12.
[31]朱宝彦,张庆灵,佟绍成.一类T-S模糊广义系统的无源控制[J].系统工程理论与实践,2006,6(6):81-87.
[32]杨丽,张庆灵,杨晓光,刘佩勇.一类不确定广义时滞系统的鲁棒耗散控制[J].控制理论与应用,2007,24(6):1038-1042.
[33]张鹏,付艳明,段广仁.线性不确定时滞系统的鲁棒耗散滤波器[J].哈尔滨工业大学学报,2007,39(3):345-348.
[34] Li C.J, An H Y, Feng Y F. Dissipative Filtering for Linear Discrete-time Systems via LMI[C].IEEE Chinese Control and Decision Conference,2009:3866-3870.
[35] Duan G R, Lv L L, Wu A G. Robust Dissipative Filtering for Continuous-time PolytopicUncertain Neutral Systems[J]. Journal of Systems Engineering and Electronics,2009,20(3):598-606.
[36] Xu S Y, Lam J. Reduced-orderH∞Filtering for Singular Systems[J]. Systems&ControlLetters,2007,56:48-57.
[37] Carlos E. de Souzaa, Karina A. Barbosaa, Minyue F. Robust Filtering for Uncertain LinearDiscrete-time Descriptor Systems[J]. Automatica,2008,44:792-798.
[38] Lu R Q, Xu Y, Xue A K.H∞Filtering for Singular Systems with Communication Delays[J].Signal Processing,2010,90:1240-1248.
[39]刘丽涛,张鹏,宋清昆.线性中立型时滞系统的鲁棒耗散滤波器[J].控制工程,2009,5.16:39-42.
[40] Wang Y Y, Xie L H and Souza C. E. De. Robust Control Of a Class of Uncertain NonlinearSystems[J]. Systems Control Letters,1992,19:139-149.
[41] Taniguchi T, Tanaka K, Yanafuji K, Wang H O. Fuzzy Descriptor Systems: StabilityAnalysis and Design via LMIs[C]. Proceedings of the1999American Control Conference,San Diego.1999,3:1827-1831.
[42] Yoneyama J, Ichikawa A.H∞-control for Taksgi-Sugeno Fuzzy Descriptor Systems[C].IEEE Conference on Systems, Man and Cybernetics, Tokyo.1999,28-33.
[43]朱宝彦,张庆灵.参数不确定的广义T-S模糊系统的最优保成本控制[J].系统工程理论与实践,2004,12:49-57.
[44]袁宇浩,张庆灵,陈兵.离散T-S模糊广义系统的H∞控制[J].控制理论与应用,2009,26(3):332-336.
[45] Bouarar T, Guelton K, Manamanni N. Robust Fuzzy Lyapunov Stabilization for Uncertainand Disturbed Takagi-Sugeno Descriptors[J]. ISA Transactions,2010,49:447-461.
[46] Zhang H B, Shen Y Y, Feng G. Delay-dependent Stability andH∞Control for a Class ofFuzzy Descriptor Systems with Time-delay[J]. Fuzzy Sets and Systems,2009,160:1689-1707.
[47] Gong C Z, Zeng X W. A Descriptor System Approach to Uncertain Fuzzy Control SystemDesign via Fuzzy Lyapunov Functions[C]. IEEE Proceedings of the Eighth InternationalConference on Machine Learning and Cybernetics, Baoding.2009,7:498-503.
[48] Lo J C, Wu D L. Dissipative Filtering for Discrete Fuzzy Systems[C]. IEEE InternationalConference on Fuzzy Systems, HongKong.2008:361-365.
[49] Xu S Y, Dooren P V, Stefan R, et al. Robust Stability and Stabilization for Singular Systemswith State Delay and Parameter Uncertainty[C]. IEEE Trans on Automatic Control,2002,47(7):1122-1128.
[50]董心壮,张庆灵.时变不确定广义系统的鲁棒无源控制[J].控制理论与应用,2004,21(4):517-520.
[51]张秀华,张庆灵.线性广义系统无源控制[J].控制与决策,2006,21(1):81-83.
[52]艾玲,董心壮.广义时滞系统输出反馈无源控制[J].计算技术与自动化,2008.27(2):15-17.
[53]张鹏,付艳明,段广仁.线性不确定广义时滞系统的鲁棒无源滤波器设计[J].控制与决策,2006,21(11):1275-1279.
[54] Wang Z D, Liu Y R, Liu X H.H∞Filtering for Uncertain Stochastic Time-delay Systemswith Sector-bounded Nonlinearities[J]. Automatica,2008,5(44):1268-1277.
[55] Basin M, Shi P, Calderon-Alvarez D. Joint State Filtering and Parameter Estimation forLinear Stochastic Time-delay Systems[J]. Signal Processing,2011,4(91):782-792.
[56] Liu Y R, Wang Z D, Liu X H. RobustH∞Filtering for Discrete Nonlinear StochasticSystems with Time-varying Delay[J]. Mathematical Analysis and Applications,2008,1(341):318-336.
[57] Shao H Y. Delay-range-dependent robustH∞Filtering for Uncertain Stochastic Systemswith Mode-dependent Time Delays and Markovian Jump Parameters[J]. MathematicalAnalysis and Applications,2008,2(342):1084-1095.
[58]陈淼，王道波，王志胜.不确定随机跳变时滞系统非脆弱H∞滤波[J].系统工程与电子技术,2010,32(5):1019-1023.
[59] Song B, Xu S Y, Zou Y. Non-fragileH∞Filtering for Uncertain Stochastic Time-delaySystems[C]. International Journal of Innovative Compputing, Information and Control,2009,5(8):2257-2265.
[60] Wu Z G, Su H Y, Chu J. Robust Exponential Stability of Uncertain Singular Markovian JumpTime-delay Systems[J]. Acta Automatica Sinica,2010,36(4):558-563.
[61] Wu Z G, Su H Y, Chu J. Delay-dependentH∞Filtering for Singular Markovian JumpTime-delay Systems[J]. Signal Processing,2010,90(6):1815-1824.