Analysis and synthesis of robust control systems using linear parameter dependent Lyapunov functions

被引：68

作者：

Geromel, Jose C. ^{[1
]}

Korogui, Rubens H. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Sch Elect & Comp Engn, DSCE, BR-13083970 Campinas, SP, Brazil

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 12期

关键词：

linear matrix inequalities (LMIs); linear systems; robust control design; robust stability and performance;

D O I：

10.1109/TAC.2006.884958

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note provides sufficient robust stability conditions for continuous time polytopic systems. They are obtained from the Frobenius-Perron Theorem applied to the time derivative of a linear parameter dependent Lyapunov function and are expressed in terms of linear matrix inequalities (LMI). They contain as special cases, various sufficient stability conditions available in the literature to date. As a natural generalization, the determination of a guaranteed H-2 cost is addressed. A new gain parametrization is introduced in order to make possible the state feedback robust control synthesis using parameter dependent Lyapunov functions through linear matrix inequalities. Numerical examples are included for illustration.

引用

页码：1984 / 1989

页数：6

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