Observer-based H ∞ control of discrete Markovian jump delay systems with random packet losses and multiplicative noises
作者： Shiping Wen , Zhigang Zeng , Tingwen Huang , Gang Bao
DOI: 10.1002/OCA.2054
关键词:
摘要: SUMMARY This paper investigates the observer-based H ∞ control problem for a class of mixed-delay Markovian jump systems with random communication packet losses and multiplicative noises. The mixed delays comprise both discrete time-varying distributed delays, are described by Bernoulli white sequence that obeys conditional probability distribution, disturbances in form scalar Gaussian noise unit variance. In presence noises, sufficient conditions existence an feedback controller derived such closed-loop system is asymptotically mean-square stable preserves guaranteed performance. Then, linear matrix inequality approach designing presented. Finally, numerical example provided to illustrate effectiveness developed theoretical results. Copyright © 2012 John Wiley & Sons, Ltd.
sci-hub.se 参考文章(58)
G. Lu, G. Feng, Robust H/sub /spl infin// observers for Lipschitz nonlinear discrete-time systems with time delay Iet Control Theory and Applications. ,vol. 1, pp. 810- 816 ,(2007) , 10.1049/IET-CTA:20060153
S. Pigg, M. Bodson, Adaptive Harmonic Steady‐State Disturbance Rejection with Frequency Tracking Asian Journal of Control. ,vol. 15, pp. 1- 10 ,(2013) , 10.1002/ASJC.535
H. Gao, C. Wang, A delay-dependent approach to robust H/sub /spl infin// filtering for uncertain discrete-time state-delayed systems IEEE Transactions on Signal Processing. ,vol. 52, pp. 1631- 1640 ,(2004) , 10.1109/TSP.2004.827188
Fuwen Yang, Zidong Wang, Daniel W. C. Ho, Mahbub Gani, Robust $H_{\infty }$ Control With Missing Measurements and Time Delays IEEE Transactions on Automatic Control. ,vol. 52, pp. 1666- 1672 ,(2007) , 10.1109/TAC.2007.904250
G. Zames, Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses IEEE Transactions on Automatic Control. ,vol. 26, pp. 301- 320 ,(1981) , 10.1109/TAC.1981.1102603
Zhicheng Li, Hongyang Liu, Huijun Gao, A Delay Partitioning Approach to H∞ Filtering for Continuous Time-Delay Systems Circuits Systems and Signal Processing. ,vol. 30, pp. 501- 513 ,(2011) , 10.1007/S00034-010-9240-2
Yisha Liu, Zidong Wang, Wei Wang, Reliable H∞ filtering for discrete time‐delay Markovian jump systems with partly unknown transition probabilities International Journal of Adaptive Control and Signal Processing. ,vol. 25, pp. 554- 570 ,(2011) , 10.1002/ACS.1231
Shiping Wen, Zhigang Zeng, Tingwen Huang, Reliable H ∞ filter design for a class of mixed-delay Markovian jump systems with stochastic nonlinearities and multiplicative noises via delay-partitioning method International Journal of Control, Automation and Systems. ,vol. 10, pp. 711- 720 ,(2012) , 10.1007/S12555-012-0406-5
Zidong Wang, Daniel W.C. Ho, Yurong Liu, Xiaohui Liu, Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements Automatica. ,vol. 45, pp. 684- 691 ,(2009) , 10.1016/J.AUTOMATICA.2008.10.025
E. Gershon, U. Shaked, Technical communique: H∞ output-feedback control of discrete-time systems with state-multiplicative noise Automatica. ,vol. 44, pp. 574- 579 ,(2008) , 10.1016/J.AUTOMATICA.2007.06.005