Finite-Time H∞ Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design

Abstract and Applied Analysis

Research Article

Bo Li²  Jing Wang¹  Junjie Zhao² 

[1] School of Electrical and Information Engineering, Anhui University of Technology, Ma'anshan 243002, China, ahut.edu.cn;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China, njust.edu.cn

Others  :  1320897
DOI  :  10.1155/2014/906902

 received in 2013-12-12, accepted in 2014-01-30,  发布年份 2014

【 授权许可】

CC BY   
Copyright © 2014 Junjie Zhao et al. 2014

【 图 表 】

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【 参考文献 】

• [1]B. M. Chen, T. H. Lee, K. Peng, V. Venkataramanan. et al.(2003). Composite nonlinear feedback control for linear systems with input saturation: theory and an application. IEEE Transactions on Automatic Control.48(3):427-439. DOI: 10.1109/TAC.2003.809148.
• [2]T. Hu, A. R. Teel, L. Zaccarian. (2008). Anti-windup synthesis for linear control systems with input saturation: achieving regional, nonlinear performance. Automatica.44(2):512-519. DOI: 10.1109/TAC.2003.809148.
• [3]J. Raouf, E. K. Boukas. (2011). Stabilization of singular Markovian jump systems with discontinuities and saturation inputs. IET Control Theory and Applications.42(5):767-780. DOI: 10.1109/TAC.2003.809148.
• [4]X. Song, J. Lu, S. Xu, H. Shen. et al.(2011). Robust stabilization of state delayed T-S fuzzy systems with input saturation via dynamic anti-windup fuzzy design. International Journal of Innovative Computing, Information and Control.7(12):6665-6676. DOI: 10.1109/TAC.2003.809148.
• [5]H. Liu, F. Sun, E.-K. Boukas. (2006). Robust control of uncertain discrete-time Markovian jump systems with actuator saturation. International Journal of Control.79(7):805-812. DOI: 10.1109/TAC.2003.809148.
• [6]H. Li, B. Chen, Q. Zhou, W. Qian. et al.(2009). Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters. IEEE Transactions on Systems, Man, and Cybernetics B.39(1):94-102. DOI: 10.1109/TAC.2003.809148.
• [7]H. Shen, J. H. Park, L. Zhang, Z. Wu. et al.(2013). Robust extended dissipative control for sampled-data Markov jump systems. International Journal of Control. DOI: 10.1109/TAC.2003.809148.
• [8]H. Shen, X. Song, Z. Wang. (2013). Robust fault-tolerant control of uncertain fractional-order systems against actuator faults. IET Control Theory and Applications.7(9):1233-1241. DOI: 10.1109/TAC.2003.809148.
• [9]Z. Wu, P. Shi, H. Su, J. Chu. et al.(2013). Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled-data. IEEE Transactions on Cybernetics.43(6):1796-1806. DOI: 10.1109/TAC.2003.809148.
• [10]S. Ma, E. K. Boukas. (2009). Robust filtering for uncertain discrete Markov jump singular systems with mode-dependent time delay. IET Control Theory and Applications.3(3):351-361. DOI: 10.1109/TAC.2003.809148.
• [11]H. Shen, S. Xu, J. Zhou, J. Lu. et al.(2011). Fuzzy filtering for nonlinear Markovian jump neutral systems. International Journal of Systems Science.42(5):767-780. DOI: 10.1109/TAC.2003.809148.
• [12]H. Shen, S. Xu, X. Song, G. Shi. et al.(2009). Passivity-based control for Markovian jump systems via retarded output feedback. Circuits, Systems, and Signal Processing.31(1):189-202. DOI: 10.1109/TAC.2003.809148.
• [13]H. Shen, S. Xu, J. Lu, J. Zhou. et al.(2012). Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays. Journal of the Franklin Institute.349(5):1665-1680. DOI: 10.1109/TAC.2003.809148.
• [14]Z. Wu, P. Shi, H. Su, J. Chu. et al.(2013). Asynchronous - filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities. Automatica.50(1):180-186. DOI: 10.1109/TAC.2003.809148.
• [15]H. Shen, Z. Wang, X. Huang, J. Wang. et al.(2013). Fuzzy dissipative control for nonlinear Markovian jump systems via retarded feedback. Journal of the Franklin Institute. DOI: 10.1109/TAC.2003.809148.
• [16]G. Wang, J. Cao, J. Liang. (2009). Exponential stability in the mean square for stochastic neural networks with mixed time-delays and Markovian jumping parameters. Nonlinear Dynamics.57(1-2):209-218. DOI: 10.1109/TAC.2003.809148.
• [17]Y. Zhang, C. Liu. (2013). Observer-based finite-time control of discrete-time Markovian jump systems. Applied Mathematical Modelling.37(6):3748-3760. DOI: 10.1109/TAC.2003.809148.
• [18]Y. Hong, J. Wang, D. Cheng. (2006). Adaptive finite-time control of nonlinear systems with parametric uncertainty. IEEE Transactions on Automatic Control.51(5):858-862. DOI: 10.1109/TAC.2003.809148.
• [19]S. He, F. Liu. (2010). Observer-based finite-time control of time-delayed jump systems. Applied Mathematics and Computation.217(6):2327-2338. DOI: 10.1109/TAC.2003.809148.
• [20]S. He, F. Liu. (2010). Finite-time filtering of time-delay stochastic jump systems with unbiased estimation. Proceedings of the Institution of Mechanical Engineers I.224(8):947-959. DOI: 10.1109/TAC.2003.809148.
• [21]S. He, F. Liu. (2012). Finite-time fuzzy control of nonlinear jump system with time delays via dynamic observer-based state feedback. IEEE Transactions on Fuzzy Systems.20(4):605-614. DOI: 10.1109/TAC.2003.809148.