标题：State Estimation for Nonlinear Switched Systems under Constrained Switching
作者：Liu, Lei; Zhao, Yuxin; Zhang, Zhenbin; Ma, Bin
作者机构：[Liu, Lei; Zhao, Yuxin] Harbin Engn Univ, Sch Automat, Harbin 150001, Heilongjiang, Peoples R China.; [Zhang, Zhenbin] Shandong Univ, Sch Elect Engn 更多
会议名称：33rd Youth Academic Annual Conference of Chinese Association of Automation (YAC)
会议日期：MAY 18-20, 2018
来源：PROCEEDINGS 2018 33RD YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC)
关键词：Switched systems; state estimation; Takagi-Sugeno fuzzy model; observer;; average dwell time; mode-dependent average dwell time
摘要：In this paper, the problem of state estimation for nonlinear discrete-time switched system is investigated. At first, the nonlinear switched system is represented as Takagi-Sugeno (T-S) fuzzy switched system, i.e., T-S fuzzy models are employed to approximate nonlinear parts. After that, a mode-dependent Luenberger-type observers under synchronous switching is employed to estimate the state of discrete-time T-S fuzzy switched system. By constructing multiply Lyapunov functions (MLFs) and common Lyapunov functions (CLFs), several sufficient conditions are established, in which the actual states of the estimated system under constrained switching (average dwell time (ADT) and mode-dependent average dwell time (MDADT) switching) and arbitrary switching can he tracked by the state of received observers, respectively. Finally, to testify the effectiveness of the proposed solution, one numerical example is provided.