Root-mean-square gains of switched linear systems: A variational approach

被引：57

作者：

Margaliot, Michael ^{[1
]}

Hespanha, Joao P. ^{[2
]}

机构：

[1] Tel Aviv Univ, Sch Elect Eng Syst, IL-69978 Tel Aviv, Israel

[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

AUTOMATICA | 2008年 / 44卷 / 09期

关键词：

switched and hybrid systems; bilinear control systems; optimal control; maximum principle; algebraic Riccati equation; differential Riccati equation; Hamilton-Jacobi-Bellman equation;

D O I：

10.1016/j.automatica.2008.01.026

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 consider the problem of computing the root-mean-square (RMS) gain of switched linear systems. We develop a new approach which is based on an attempt to characterize the "worst-case" switching law (WCSL), that is, the switching law that yields the maximal possible gain. Our main result provides a sufficient condition guaranteeing that the WCSL can be characterized explicitly using the differential Riccati equations (DREs) corresponding to the linear subsystems. This condition automatically holds for first-order SISO systems, so we obtain a complete solution to the RMS gain problem in this case. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2398 / 2402

页数：5

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