Benefits of redundant channels in observer-based H∞ control for discrete-time switched linear systems

作     者：ZHU YanZheng ZHANG LiXian LIN WeiYang LI Zhan YU ShuYou 

作者机构：State Key Laboratory of Automotive Simulation and Control Jilin University School of Astronautics Harbin Institute of Technology Department of Control Science and Engineering Jilin University 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2016年第59卷第1期

页      面：55-62页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.61322301) the Natural Science Foundation of Heilongjiang(Grant Nos.F201417&JC2015015) the Fundamental Research Funds for the Central Universities China(Grant Nos.HIT.BRETIII.201211&HIT.BRETIV.201306) 

主　　题：modal persistent dwell time observer based control packet losses redundant channels switched systems 

摘      要：In this paper, the H∞ control problem is investigated for a class of discrete-time switched linear systems with modal persistent dwell-time(MPDT) switching. The redundant channels are considered to use in the data transmission to benefit the capability of overcoming the fragility of networks commonly configured by a single channel in the communication networks subject to random packet losses. In light of a new class of Lyapunov functions, the desired observer-based quasi-time-dependent controllers, which have less conservatism than the time-independent ones, are designed such that the resulting closed-loop system is exponentially mean-square stable with a guaranteed H_∞ disturbance attenuation performance. The MPDT can be minimized while ensuring the existence of such a class of observer-based controllers for a given period of persistence. An example of DC-DC boost converter is provided to verify the effectiveness of theoretical findings.