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

• Published in: Science China. Technological sciences Vol. 59; no. 1; pp. 55 - 62
• Main Authors: Zhu, YanZheng, Zhang, LiXian, Lin, WeiYang, Li, Zhan, Yu, ShuYou
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 2016
• Subjects: Engineering; H∞控制问题; Lyapunov; 冗余通道; 切换线性系统; 时间控制器; 离散; 线性切换系统; 观测器; packet losses; modal persistent dwell-time; observer-based control; switched systems; redundant channels
• ISSN: 1674-7321; 1869-1900
• DOI: 10.1007/s11431-015-5976-z

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.