Robust reliable control for discrete-time-delay systems with stochastic nonlinearities and multiplicative noises

作者: Yisha Liu , Zidong Wang , Wei Wang

DOI: 10.1002/OCA.938

关键词:

摘要: This paper is concerned with the reliable control problem against actuator failures for a class of uncertain discrete-time stochastic nonlinear time-delay systems. The actuators are quantified by variable varying in given interval. nonlinearities described statistical means cover several well-studied functions as special cases. time-varying delay unknown lower and upper bounds. multiplicative disturbances form scalar Gaussian white noise unit variance. Attention focused on analysis design stable controller such that, all possible failures, disturbances, time delays admissible parameter uncertainties, closed-loop system exponentially mean-square stable. A linear matrix inequality approach developed to solve addressed problem. numerical example demonstrate effectiveness proposed approach. Copyright © 2010 John Wiley & Sons, Ltd.

参考文章(29)
Y.S. Lee, Y.S. Moon, W.H. Kwon, P.G. Park, Delay-dependent robust H∞ control for uncertain systems with a state-delay Automatica. ,vol. 40, pp. 65- 72 ,(2004) , 10.1016/J.AUTOMATICA.2003.07.004
Zidong Wang, Fuwen Yang, Daniel W.C. Ho, Xiaohui Liu, Robust variance-constrained H∞ control for stochastic systems with multiplicative noises Journal of Mathematical Analysis and Applications. ,vol. 328, pp. 487- 502 ,(2007) , 10.1016/J.JMAA.2006.05.067
Y.I. Yaz, E.E. Yaz, On LMI formulations of some problems arising in nonlinear stochastic system analysis IEEE Transactions on Automatic Control. ,vol. 44, pp. 813- 816 ,(1999) , 10.1109/9.754824
Chang-Hua Lien, Ker-Wei Yu, Yen-Feng Lin, Yeong-Jay Chung, Long-Yeu Chung, Robust reliable H∞ control for uncertain nonlinear systems via LMI approach Applied Mathematics and Computation. ,vol. 198, pp. 453- 462 ,(2008) , 10.1016/J.AMC.2007.08.085
Guoliang Wei, Zidong Wang, Huisheng Shu, Brief paper: Robust filtering with stochastic nonlinearities and multiple missing measurements Automatica. ,vol. 45, pp. 836- 841 ,(2009) , 10.1016/J.AUTOMATICA.2008.10.028
P SHI, M MAHMOUD, J YI, A ISMAIL, Worst case control of uncertain jumping systems with multi-state and input delay information Information Sciences. ,vol. 176, pp. 186- 200 ,(2006) , 10.1016/J.INS.2004.07.019
Y. He, G.P. Liu, D. Rees, Augmented lyapunov functional for the calculation of stability interval for time-varying delay Iet Control Theory and Applications. ,vol. 1, pp. 381- 386 ,(2007) , 10.1049/IET-CTA:20060216