Mixed H 2 /H ∞ output tracking control for discrete-time systems with multiple time-varying delays
作者： Ni Zhang , Yixin Fan , Xiongxiong He
DOI: 10.1109/CCDC.2015.7162405
关键词: Mathematics 、 Tracking (particle physics) 、 Cone (topology) 、 Exponential stability 、 Linear matrix inequality 、 Linearization 、 Control theory 、 Discrete time and continuous time 、 Nonlinear programming 、 Control (management)
摘要: In this paper, mixed H 2 /H ∞ output tracking control is investigated for discrete-time systems with multiple time-varying delays. Based on free-weighting matrices method and linear matrix inequality (LMI) technique, the delay-dependent sufficient condition derived guaranteeing asymptotic stability performance of system The nonlinear involved in controller design transformed into programming problem constrained by LMIs using cone complementarity linearization (CCL) algorithm. Finally, simulation results are given to demonstrate effectiveness proposed methods.
sci-hub.se 参考文章(19)
Magdi S. Mahmoud, Fouad M. AL-Sunni, Yan Shi, Mixed H2/H∞ control of uncertain jumping time-delay systems Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 345, pp. 536- 552 ,(2008) , 10.1016/J.JFRANKLIN.2008.03.001
M. Syed Ali, P. Balasubramaniam, Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time-varying delays Communications in Nonlinear Science and Numerical Simulation. ,vol. 16, pp. 2907- 2916 ,(2011) , 10.1016/J.CNSNS.2010.10.011
Jiuxiang Dong, Youyi Wang, Guang-Hong Yang, H∞ and mixed H2/H∞ control of discrete-time T--S fuzzy systems with local nonlinear models Fuzzy Sets and Systems. ,vol. 164, pp. 1- 24 ,(2011) , 10.1016/J.FSS.2010.09.014
O.M. Kwon, M.J. Park, Ju H. Park, S.M. Lee, E.J. Cha, New criteria on delay-dependent stability for discrete-time neural networks with time-varying delays Neurocomputing. ,vol. 121, pp. 185- 194 ,(2013) , 10.1016/J.NEUCOM.2013.04.026
L. Xu, Q. Wang, W. Li, Y. Hou, Stability analysis and stabilisation of full-envelope networked flight control systems: switched system approach Iet Control Theory and Applications. ,vol. 6, pp. 286- 296 ,(2012) , 10.1049/IET-CTA.2010.0654
Wei Qian, Shen Cong, Tao Li, Shumin Fei, Improved stability conditions for systems with interval time-varying delay International Journal of Control, Automation and Systems. ,vol. 10, pp. 1146- 1152 ,(2012) , 10.1007/S12555-012-0609-9
Hongji Ma, Weihai Zhang, Ting Hou, Infinite horizon H2/H∞ control for discrete-time time-varying Markov jump systems with multiplicative noise Automatica. ,vol. 48, pp. 1447- 1454 ,(2012) , 10.1016/J.AUTOMATICA.2012.05.006
Yan Ou, Hongyang Liu, Yulin Si, Zhiguang Feng, Stability analysis of discrete-time stochastic neural networks with time-varying delays Neurocomputing. ,vol. 73, pp. 740- 748 ,(2010) , 10.1016/J.NEUCOM.2009.10.017
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
D.S. Bernstein, W.M. Haddad, LQG control with an H/sup infinity / performance bound: a Riccati equation approach IEEE Transactions on Automatic Control. ,vol. 34, pp. 293- 305 ,(1989) , 10.1109/9.16419