非线性时变时延系统的模糊采样最优控制
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摘要
针对非线性时变时延系统,采用输入时延和自由权重矩阵方法研究模糊采样最优控制问题.应用T-S模糊系统表征非线性系统,控制器是零阶保持采样信号.由线性矩阵不等式给出最优控制准则,所设计的模糊采样控制器在闭环系统渐近稳定意义下可保证期望最优控制性能.最后,通过卡车拖车系统实验验证模糊采样控制设计方案的可行性.
This paper is concerned with a fuzzy sampled-data optimal control problem of nonlinear systems with timevarying delay by employing the input delay and free-weighting matrix approach. The Takagi-Sugeno(T-S) fuzzy system is used to represent the nonlinear systems, and the control input is a zero-order hold sampled-data signal. A linear matrix inequalities(LMIs)-based optimal control criterion is obtained, and a fuzzy sampled-data controller is designed for the system, which ensures that the optimal performance is achieved in the sense that the closed-loop system is asymptotically stable. A computer simulated truck-trailer system is given to illustrate the effectiveness of the fuzzy sampled-data control design.
This paper is concerned with a fuzzy sampled-data optimal control problem of nonlinear systems with timevarying delay by employing the input delay and free-weighting matrix approach. The Takagi-Sugeno(T-S) fuzzy system is used to represent the nonlinear systems, and the control input is a zero-order hold sampled-data signal. A linear matrix inequalities(LMIs)-based optimal control criterion is obtained, and a fuzzy sampled-data controller is designed for the system, which ensures that the optimal performance is achieved in the sense that the closed-loop system is asymptotically stable. A computer simulated truck-trailer system is given to illustrate the effectiveness of the fuzzy sampled-data control design.
引文
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[4]Chen P, Han Q L, Yue D, et al. Sampled-data robust H∞control for T-S fuzzy systems with time delay and uncertainties[J]. Fuzzy Sets Systems, 2011, 179(1):20-33.
[5]Hu S, Yue D, Du Z, et al. Reliable H∞non-uniform sampling tracking control for continuous-time non-linear systems with stochastic actuator faults[J]. IET Control Theory&Applications, 2012, 6(1):120-129.
[6]Wag M, Qiu J B, Chadli M, et al. A switched system approach to exponential stabilization of sampled-data T-S fuzzy systems with packet dropouts[J]. IEEE Trans Cybern, 2016, 46(12):3145-3156.
[7]Liu W H, Lim C C, Shi P, et al. Sampled-data fuzzy control for a class of nonlinear systems with missing data and disturbances[J]. Fuzzy Sets Systems, 2017, 306(1):63-86.
[8]Syed Ali M, Gunasekaran N, Zhu Q X. State estimation of T-S fuzzy delayed neural networks with Markovian jumping parameters using sampled-data control[J]. Fuzzy Sets Systems, 2017, 306(1):87-104.
[9]Lam H K, Leung F H. Sampled-data fuzzy controller for time-delay nonlinear systems:Fuzzy-model-based LMI approach[J]. IEEE Systems, Man, and Cybernetics Society, 2007, 37(3):617-629.
[10]Yang D Y, Cai K Y. Reliable H∞non-uniform sampling fuzzy control for nonlinear systems with time delay[J].IEEE Systems, Man, and Cybernetics Society, 2008,38(6):1606-1613.
[11]Tanaka K, Sano M. A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer[J]. IEEE Trans on Fuzzy Systems, 1994, 2(2):119-134.
[2]Du Z B, Song Y B, Zhang Z Q. The observer-based fuzzy H∞controller of nonlinear systems[J]. Chinese J Electron, 2013, 22(1):114-117.
[3]Lam H K, Narimani M. Quadratic-stability analysis of fuzzy-model-based control systems using staircase membership functions[J]. IEEE Trans on Fuzzy Systems,2010, 18(1):125-137.
[4]Chen P, Han Q L, Yue D, et al. Sampled-data robust H∞control for T-S fuzzy systems with time delay and uncertainties[J]. Fuzzy Sets Systems, 2011, 179(1):20-33.
[5]Hu S, Yue D, Du Z, et al. Reliable H∞non-uniform sampling tracking control for continuous-time non-linear systems with stochastic actuator faults[J]. IET Control Theory&Applications, 2012, 6(1):120-129.
[6]Wag M, Qiu J B, Chadli M, et al. A switched system approach to exponential stabilization of sampled-data T-S fuzzy systems with packet dropouts[J]. IEEE Trans Cybern, 2016, 46(12):3145-3156.
[7]Liu W H, Lim C C, Shi P, et al. Sampled-data fuzzy control for a class of nonlinear systems with missing data and disturbances[J]. Fuzzy Sets Systems, 2017, 306(1):63-86.
[8]Syed Ali M, Gunasekaran N, Zhu Q X. State estimation of T-S fuzzy delayed neural networks with Markovian jumping parameters using sampled-data control[J]. Fuzzy Sets Systems, 2017, 306(1):87-104.
[9]Lam H K, Leung F H. Sampled-data fuzzy controller for time-delay nonlinear systems:Fuzzy-model-based LMI approach[J]. IEEE Systems, Man, and Cybernetics Society, 2007, 37(3):617-629.
[10]Yang D Y, Cai K Y. Reliable H∞non-uniform sampling fuzzy control for nonlinear systems with time delay[J].IEEE Systems, Man, and Cybernetics Society, 2008,38(6):1606-1613.
[11]Tanaka K, Sano M. A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer[J]. IEEE Trans on Fuzzy Systems, 1994, 2(2):119-134.