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.
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页码：2060 / 2066
页数：7
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