Robust H∞ control for switched systems with input delays: A sojourn-probability-dependent method
作者： Engang Tian , W.K. Wong , Dong Yue
DOI: 10.1016/J.INS.2014.05.017
关键词: Control theory 、 Set (abstract data type) 、 System model 、 Linearization 、 Stochastic control 、 Inverted pendulum 、 Control theory 、 Complement (set theory) 、 Type (model theory) 、 Mathematics
摘要: In this paper, a sojourn-probability-dependent method is proposed to investigate the robust H"~ control for class of switched systems with input delays. The considered system has following characteristics: (1) it consisting set subsystems; (2) sojourn probabilities (i.e. probability staying in each subsystem) are assumed be known (or partly known) prior; and (3) there delays parameter uncertainties subsystem. By using information, new type model built. Lyapunov functional method, mean square stability criteria obtained under two conditions: (A) all subsystems known; (B) only known. Then controller feedback gains derived by cone complement linearization method. An inverted pendulum numerical example given demonstrate effectiveness applicability
sci-hub.se 参考文章(28)
Shuzhi Sam Ge, Zhendong Sun, Stability Theory of Switched Dynamical Systems ,(2011)
Sing Kiong Nguang, Dan Huang, Robust Control for Uncertain Networked Control Systems with Random Delays ,(2009)
Lixian Zhang, El‐Kebir Boukas, Peng Shi, Exponential H∞ filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach International Journal of Robust and Nonlinear Control. ,vol. 18, pp. 1188- 1207 ,(2008) , 10.1002/RNC.1276
Xudong Zhao, Peng Shi, Lixian Zhang, Asynchronously switched control of a class of slowly switched linear systems Systems & Control Letters. ,vol. 61, pp. 1151- 1156 ,(2012) , 10.1016/J.SYSCONLE.2012.08.010
Jie Lian, Chunwei Mu, Peng Shi, Asynchronous H∞ filtering for switched stochastic systems with time-varying delay Information Sciences. ,vol. 224, pp. 200- 212 ,(2013) , 10.1016/J.INS.2012.10.009
Xiaojie Su, Peng Shi, Ligang Wu, Yong-Duan Song, A Novel Control Design on Discrete-Time Takagi–Sugeno Fuzzy Systems With Time-Varying Delays IEEE Transactions on Fuzzy Systems. ,vol. 21, pp. 655- 671 ,(2013) , 10.1109/TFUZZ.2012.2226941
Yanling Wei, Mao Wang, Jianbin Qiu, New approach to delay-dependent H ∞ filtering for discrete-time Markovian jump systems with time-varying delay and incomplete transition descriptions IET Control Theory & Applications. ,vol. 7, pp. 684- 696 ,(2013) , 10.1049/IET-CTA.2012.0621
L. El Ghaoui, F. Oustry, M. AitRami, A cone complementarity linearization algorithm for static output-feedback and related problems IEEE Transactions on Automatic Control. ,vol. 42, pp. 1171- 1176 ,(1997) , 10.1109/9.618250
Huijun Gao, Ligang Wu, Wei Xing Zheng, Dissipativity-Based Sliding Mode Control of Switched Stochastic Systems IEEE Transactions on Automatic Control. ,vol. 58, pp. 785- 791 ,(2013) , 10.1109/TAC.2012.2211456
Xia Li, Zhengrong Xiang, Hamid Reza Karimi, Asynchronously switched control of discrete impulsive switched systems with time delays Information Sciences. ,vol. 249, pp. 132- 142 ,(2013) , 10.1016/J.INS.2013.06.007