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时变时滞连续切换奇异系统的一致有限时间稳定分析

DOI: 10.13195/j.kzyjc.2013.0529, PP. 1316-1320

Keywords: 切换奇异系统,线性矩阵不等式,有限时间稳定,有限时间有界

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Abstract:

讨论一类含有时变时滞的连续时间切换奇异系统的一致有限时间稳定、有限时间有界和状态反馈镇定问题.在给定任意的切换规则下,运用多Lyapunov函数和平均驻留时间方法设计使得闭环系统一致有限时间稳定和有限时间有界的状态反馈控制器,同时给出基于线性矩阵不等式表示的控制器存在的充分条件.最后通过数值算例表明了所提出方法的合理性和有效性.

References

[1]  Shi S, Zhang Q, Yuan Z, et al. Hybrid impulsive control for switched singular systems[J]. IET Control Theory and Applications, 2011, 5(1): 103-111.
[2]  Ding Y C, Zhu H, Zhong S M, et al. Exponential mean-square stability of time-delay singular systems with Markovian switching and nonlinear perturbations[J]. Applied Mathematics and Computation, 2012, 219(4): 2350-2359.
[3]  Lin J X, Fei S M. Robust exponential admissibility of uncertain switched singular time-delay systems[J]. Int J of Control, 2011, 84(10): 1587-1600.
[4]  高在瑞, 沈艳霞, 纪志成. 非线性切换广义系统的输入-状态稳定性[J]. 控制理论与应用, 2013, 30(3): 385-391.
[5]  (Gao Z R, Shen Y X, Ji Z C. Input-to-state stability analysis for nonlinear switched descriptor systems[J]. Control Theory & Applications, 2013, 30(3): 385-391.)
[6]  Zamani I, Shafiee M, Ibeas A. Exponential stability of hybrid switched nonlinear singular systems with timevarying delay[J]. J of the Franklin Institute, 2013, 350(1): 171-193.
[7]  Koeniig D, Marx B, Jacquet D. Unknown input observers for switched nonlinear discrete time descriptor systems[J]. IEEE Trans on Automatic Control, 2008, 53(1): 373-379.
[8]  Weiss L, Infante E. Finite time stability under perturbing forces and on product spaces[J]. IEEE Trans on Automatic Control, 1967, 12(1): 54-59.
[9]  Dorato P. Short-time stability in linear time varying systems[C]. Proc of the IRE Int Convention Record. New York: IEEE Press, 1961: 83-87.
[10]  林相泽, 都海波, 李世华. 离散线性切换系统的一致有限时间稳定分析和反馈控制及其在网络控制系统中的应用[J]. 控制与决策, 2011, 26(6): 841-846.
[11]  (Lin X Z, Du H B, Li S H. Uniform finite-time stability and feedback stabilization for discrete-time switched linear systems and its application to networked control systems[J]. Control and Decision, 2011, 26(6): 841-846.)
[12]  Orlov Y. Finite time stability and robust control synthesis of uncertain switched systems[J]. Siam J of Control Optimization, 2005, 43(4): 1253-1271.
[13]  Wang Y J, Shi X M, Zuo Z Q, et al. On finite-time stability for nonlinear impulsive switched systems[J]. Nonlinear Analysis: Real World Applications, 2013, 14(1): 807-814.
[14]  Zhang Y Q, Liu C X, Mu X W. Robust finite-time H∞ control of singular stochastic systems via static output feedback[J]. Applied Mathematics and Computation, 2012, 218(9): 5629-5640.
[15]  Feng J E, Wu Z, Sun J B. Finite-time control of linear singular systems with parametric uncertainties and disturbances[J]. Acta Automatica Sinica, 2005, 31(4): 634-637.
[16]  Zhang Y Q, Liu C X, Mu X W. Robust finitetime stabilization of uncertain singular Markovian jump systems[J]. Applied Mathematics Modelling, 2012, 36(10): 5109-5121.
[17]  Fang M. Delay-dependent robust?H∞ control for uncertain singular systems with state delay[J]. Acta Automatica Sinica, 2009, 35(1): 65-70.

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