模糊逻辑方法在具有不确定性时滞系统控制中的应用（英文）
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摘要
时滞是典型的非线性环节,通常存在于流体动力学中例如航空飞行器控制。一个新型的改进史密斯预估器的控制方案被提出,可以解决扰动影响下的积分时滞系统控制中出现的稳态误差问题。首先积分时滞过程被预测为一阶时滞模型。通过使用劳思赫尔维斯稳定判据设计的PID控制策略可以实现系统稳定。该设计方法可以成功消除扰动的影响。但是在跟踪控制的瞬态响应中会产生较大的超调量。因此模糊逻辑方法被用于调节设计的PID控制器,以降低超调量。最终研究设计的控制方法具有很好的鲁棒性同时在应对系统不确定性时表现了很好的控制性能。
As is known,time delay( alternatively named dead time) is a typical nonlinear action and always exists in fluid dynamics such as areospace vehicle control. In this paper,a novel improved Smith predictor control scheme is put forward,which can solve the offset problems caused by the time delay and disturbance in the control Integral Plus Dead Time( IPDT) process control. At first,IPDT process is predict for the First Order Plus Dead Time( FOPDT) transfer function.By using Routh-Hurwitz Stability Criterion,PID related control scheme is then designed to attain system stability. In this developed IPDT-FOPDT based Smith Predictor control sheme,loading disturbance could be eliminated successfully. However,a big overshoot is appeared during the tracking control of transient response. Thus fuzzy logic method is applied for setpoint weight tuning of the designed PID controller. As a result,the overshoot is dramatically reduced. Eventually a good robustness and performance for the controlling nonlinear IPDT process with uncertainties are presented.
As is known,time delay( alternatively named dead time) is a typical nonlinear action and always exists in fluid dynamics such as areospace vehicle control. In this paper,a novel improved Smith predictor control scheme is put forward,which can solve the offset problems caused by the time delay and disturbance in the control Integral Plus Dead Time( IPDT) process control. At first,IPDT process is predict for the First Order Plus Dead Time( FOPDT) transfer function.By using Routh-Hurwitz Stability Criterion,PID related control scheme is then designed to attain system stability. In this developed IPDT-FOPDT based Smith Predictor control sheme,loading disturbance could be eliminated successfully. However,a big overshoot is appeared during the tracking control of transient response. Thus fuzzy logic method is applied for setpoint weight tuning of the designed PID controller. As a result,the overshoot is dramatically reduced. Eventually a good robustness and performance for the controlling nonlinear IPDT process with uncertainties are presented.
引文
[1]Normey-Rico J E,Camacho E F.Dead-time compensators:A survey[J].Control Engineering Practice,2008,16:407-428.
[2]Naidu D S,Calise A J.Singular perturbations and time scales in guidance and control of aerospace systems:a survey[J].Journal of Guidance,Control,and Dynamics,2001,24:1057-1078.
[3]刘鹏,薛伟琪,许浒.反馈系统中PID控制器特性分析[J].空间电子技术,2011(3):54-57.
[4]黎军,周诠.一种卫星交换系统连接允许控制算法的改进[J].空间电子技术,2015(1):73-78.
[5]Smith O J.A controller to overcome dead time[J].Transactions on International Society of Automation(ISA),1959(6):28-33.
[6]Watanabe K,Ito M.A process-model control for linearsystems with delay[J].IEEE Transactions on Automatic Control,1981,26:1261-1269.
[7]Astrom K J,Hang C C,Lim B C.A new Smith predictor for controlling a process with an integrator and long deadtime[J].IEEE Transactions on Automatic Control,1994,39:343-345.
[8]Matausek M R,Micic A D.A modified Smith predictor for controlling a process with an integrator and long dead-time[J].IEEE Transactions on Automatic Control,1996,41:1199-1203.
[9]Matausek M R,Micic A D.On the modified smith predictor for controlling a process with an integrator and long dead-time[J].IEEE Transactions on Automatic Control,1999,44:1603-1606.
[10]Routh E J.Dynamics of a System of Rigid Bodies[M].5th ed.New York:Macmillan,1892.
[11]Hurwitz A.On the Conditions under which an Equation Has Only Roots with Negative Real Parts[J].Mathematische Annalen 46,1895:273-284.
[12]Astrom K,Hagglund T.PID Controllers:Theory,Design and Tuning[M].New York:ISA,1995.
[13]Visioli A.Fuzzy logic based set-point weight tuning of PID controllers[J].IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans,1999,29:587-592.
[14]Zadeh L.Fuzzy Sets and Applications[M].New York,John Wiley,1987.
[15]郑伟,张辉,王杨明.基于模糊控制的组合导航算法[J].空间电子技术,2009(3):34-38.
[2]Naidu D S,Calise A J.Singular perturbations and time scales in guidance and control of aerospace systems:a survey[J].Journal of Guidance,Control,and Dynamics,2001,24:1057-1078.
[3]刘鹏,薛伟琪,许浒.反馈系统中PID控制器特性分析[J].空间电子技术,2011(3):54-57.
[4]黎军,周诠.一种卫星交换系统连接允许控制算法的改进[J].空间电子技术,2015(1):73-78.
[5]Smith O J.A controller to overcome dead time[J].Transactions on International Society of Automation(ISA),1959(6):28-33.
[6]Watanabe K,Ito M.A process-model control for linearsystems with delay[J].IEEE Transactions on Automatic Control,1981,26:1261-1269.
[7]Astrom K J,Hang C C,Lim B C.A new Smith predictor for controlling a process with an integrator and long deadtime[J].IEEE Transactions on Automatic Control,1994,39:343-345.
[8]Matausek M R,Micic A D.A modified Smith predictor for controlling a process with an integrator and long dead-time[J].IEEE Transactions on Automatic Control,1996,41:1199-1203.
[9]Matausek M R,Micic A D.On the modified smith predictor for controlling a process with an integrator and long dead-time[J].IEEE Transactions on Automatic Control,1999,44:1603-1606.
[10]Routh E J.Dynamics of a System of Rigid Bodies[M].5th ed.New York:Macmillan,1892.
[11]Hurwitz A.On the Conditions under which an Equation Has Only Roots with Negative Real Parts[J].Mathematische Annalen 46,1895:273-284.
[12]Astrom K,Hagglund T.PID Controllers:Theory,Design and Tuning[M].New York:ISA,1995.
[13]Visioli A.Fuzzy logic based set-point weight tuning of PID controllers[J].IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans,1999,29:587-592.
[14]Zadeh L.Fuzzy Sets and Applications[M].New York,John Wiley,1987.
[15]郑伟,张辉,王杨明.基于模糊控制的组合导航算法[J].空间电子技术,2009(3):34-38.