Stability analysis of sampled-data switched systems with quantization

被引：81

作者：

Wakaiki, Masashi ^{[1
]}

Yamamoto, Yutaka ^{[2
]}

机构：

[1] Univ Calif Santa Barbara, Ctr Control Dynam Syst & Computat CCDC, Santa Barbara, CA 93106 USA

[2] Kyoto Univ, Grad Sch Informat, Kyoto 6068501, Japan

来源：

AUTOMATICA | 2016年 / 69卷

关键词：

Quantization; Sampled-data control; Switched systems; Lyapunov function; Randomized algorithm; NETWORKED CONTROL-SYSTEMS; LINEAR-SYSTEMS; FEEDBACK STABILIZATION; STABILIZABILITY; COMPUTATION; CONSTRAINTS; DESIGN;

D O I：

10.1016/j.automatica.2016.02.025

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We propose a stability analysis method for sampled-data switched linear systems with finite-level static quantizers. In the closed-loop system, information on the active mode of the plant is transmitted to the controller only at each sampling time. This limitation of switching information leads to a mode mismatch between the plant and the controller, and the system may become unstable. A mode mismatch also makes it difficult to find an attractor set to which the state trajectory converges. A switching condition for stability is characterized by the total time when the modes of the plant and the controller are different. Under this condition, we derive an ultimate bound on the state trajectories by using a common Lyapunov function computed from a randomized algorithm. The switching condition can be reduced to a dwell-time condition. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：157 / 168

页数：12

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