disturbance tolerance and rejection of discrete switched systems with time-varying delay and saturating actuator：具有时变时滞和饱和执行器干扰的耐受性和离散切换系统的排斥.pdf

Nonlinear Analysis: Hybrid Systems 16 (2015) 81–92 Contents lists available at ScienceDirect Nonlinear Analysis: Hybrid Systems journal homepage: /locate/nahs Disturbance tolerance and rejection of discrete switched systems with time-varying delay and saturating actuator Yibo Qian a , Zhengrong Xiang a,∗, Hamid Reza Karimi b a School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China b Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898 Grimstad, Norway a r t i c l e i n f o a b s t r a c t Article history: This paper is concerned with the problems of disturbance tolerance and rejection of Received 26 September 2013 discrete switched systems with time-varying delay and saturating actuator. Using the Accepted 11 November 2014 switched Lyapunov function approach, a sufficient condition for the existence of a state feedback controller is proposed such that the disturbance tolerance capability of the closed- Keywords: loop system is ensured. By solving a convex optimization problem with linear matrix Disturbance tolerance inequality (LMI) constraints, the maximal disturbance tolerance is estimated. In addition, Disturbance rejection the problem of disturbance rejection of the closed-loop system is solved. Two examples are Switched systems Time-varying delay given to illustrate the effectiveness of the