An LMI approach to H∞ boundary control of semilinear parabolic and hyperbolic systems

被引：120

作者：

Fridman, Emilia ^{[1
]}

Orlov, Yury ^{[2
]}

机构：

[1] Tel Aviv Univ, Dept Elect Engn, IL-69978 Tel Aviv, Israel

[2] CICESE Res Ctr, Ensenada 22860, Baja California, Mexico

来源：

AUTOMATICA | 2009年 / 45卷 / 09期

关键词：

Distributed parameter systems; Stability; H-infinity control; Lyapunov functional; LMI; STABILIZATION;

D O I：

10.1016/j.automatica.2009.04.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Exponential stability analysis and L-2-gain analysis are developed for scalar uncertain distributed parameter systems, governed by semilinear partial differential equations of parabolic and hyperbolic types. Sufficient exponential stability conditions with a given decay rate are derived in the form of Linear Matrix Inequalities (LMIs) for both systems. These conditions are then utilized to synthesize H-infinity static output feedback boundary controllers of the systems in question. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2060 / 2066

页数：7

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