Stability Analysis of Discrete-Time Almost Periodic Piecewise Linear Systems with Dwell Time Uncertainties
作者单位：Center for Intelligent Complex Systems College of Electrical Engineering Southwest Minzu University
会议名称：《第43届中国控制会议》
会议日期：1000年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学]
关 键 词：Almost periodic piecewise systems discrete-time swhitched systems dwell time uncertainties exponential stability
摘 要：This paper addresses the issue of exponential stability of discrete-time almost periodic piecewise linear systems(APPLSs) with dwell time uncertainties under mode-dependent average dwell time(MDADT) switching signal. Considering dwell time uncertainties in discrete-time APPLSs, multiple piecewise convex homogeneous Lyapunov function(MPCHLF) is constructed. In the case where the switching instants within each period are unknown but lie within a certain range, a sufficient exponential stability condition for the discrete-time systems is proposed. Finally, a numerical example validates obtaining low conservatism using the proposed approach.