Reliable finite-time H∞ control of uncertain singular nonlinear Markovian jump systems with bounded transition probabilities and time-varying delay

作者: Yue-Chao Ma , Yang-Fan Liu , Hui Chen

DOI: 10.1080/00207721.2017.1318972

关键词:

摘要: ABSTRACTThis paper investigates the problem of reliable finite-time H∞ control for one class uncertainsingular nonlinear Markovian jump systems with time-varying delay subject to partial information on transition probabilities. Continuous fault model is more general and practical serve as actuator fault. Time a kind positive differentiable bounded delays. First, based state estimator resulting closed-loop error system constructed sufficient criteria are provided guarantee that augmented singular stochastic boundedness in both normal cases via constructing delay-dependent Lyapunov–Krasonskii function. Then, gain matrices state-feedback controller fixed by solving feasibility terms linear matrix inequalities through decoupling technique, respectively. Finally, numerical examples given show validity ...

参考文章(34)
Junru Wang, Huijiao Wang, Anke Xue, Renquan Lu, Delay-dependent H∞ control for singular Markovian jump systems with time delay Nonlinear Analysis: Hybrid Systems. ,vol. 8, pp. 1- 12 ,(2013) , 10.1016/J.NAHS.2012.08.003
Yuechao Ma, Menghua Chen, Qingling Zhang, Memory dissipative control for singular T–S fuzzy time-varying delay systems under actuator saturation ☆ Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 352, pp. 3947- 3970 ,(2015) , 10.1016/J.JFRANKLIN.2015.05.030
Jinghao Li, Qingling Zhang, Ding Zhai, Yi Zhang, Sliding mode control for descriptor Markovian jump systems with mode-dependent derivative-term coefficient Nonlinear Dynamics. ,vol. 82, pp. 465- 480 ,(2015) , 10.1007/S11071-015-2168-0
Hui-Jiao WANG, Yue-Song LIN, An-Ke XUE, Hai-Peng PAN, Ren-Quan LU, Reliable Robust H∞ Tracking Control for a Class of Uncertain Lur e Singular Systems Acta Automatica Sinica. ,vol. 34, pp. 893- 899 ,(2008) , 10.1016/S1874-1029(08)60046-4
Ding Zhai, Qing-Ling Zhang, Jing-Hao Li, None, Fault detection for singular multiple time-delay systems with application to electrical circuit Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 351, pp. 5411- 5436 ,(2014) , 10.1016/J.JFRANKLIN.2014.09.012
Zheng-Guang WU, Hong-Ye SU, Jian CHU, Robust Exponential Stability of Uncertain Singular Markovian Jump Time-delay Systems Acta Automatica Sinica. ,vol. 36, pp. 558- 563 ,(2010) , 10.1016/S1874-1029(09)60022-7
Yingqi Zhang, Caixia Liu, Xiaowu Mu, Robust finite-time H∞ control of singular stochastic systems via static output feedback Applied Mathematics and Computation. ,vol. 218, pp. 5629- 5640 ,(2012) , 10.1016/J.AMC.2011.11.057
Xuerong Mao, Stability of stochastic differential equations with Markovian switching Stochastic Processes and their Applications. ,vol. 79, pp. 45- 67 ,(1999) , 10.1016/S0304-4149(98)00070-2
Shuqian Zhu, Chenghui Zhang, Zhaolin Cheng, June Feng, Delay-Dependent Robust Stability Criteria for Two Classes of Uncertain Singular Time-Delay Systems IEEE Transactions on Automatic Control. ,vol. 52, pp. 880- 885 ,(2007) , 10.1109/TAC.2007.895951