Observer-based L2 gain Control for Switched Linear Systems with Time-delay in Detection of Switching Signal

摘要：

Using average dwell time approach, this paper investigates the observer-based L2 gain control problem of switched linear systems with time-delay in detection of switching signal. The feedback mechanism considered is off-line type. First, estimates on the generalized matrix norm and the state transition matrix are established, respectively (Lemmas 2-3 in Section 2). Then, based on these estimations, under the assumption that each subsystem is controllable and observable, we prove that there exists an observer-based switched state feedback controller such that the corresponding closed-loop switched system has an L2 gain less than γ for any switching signal with average dwell time greater than a given constant. Finally, an example is given to illustrate our results.

关键词： Switched systems switching signal time-delay observer L2 gain.

作者: Dongmei Xie Yongjun Wu

作者单位: Department of Mathematics, School of Sciences, Tianjin University,Tianjin, China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 4212-4217

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）