Parameter-Dependent Lyapunov Function Method for a Class of Uncertain Nonlinear Systems with Multiple Equilibria

被引：0
|
作者：
Zhisheng Duan
Jinzhi Wang
Lin Huang
机构：
[1] State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science,
[2] Peking University,undefined
来源：
Circuits, Systems & Signal Processing | 2007年 / 26卷
关键词：
Lyapunov Function; Controller Design; Linear Matrix Inequality; Global Convergence; Multiple Equilibrium;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
First, a new linear matrix inequality (LMI) characterization of extended strict positive realness is presented for linear continuous-time systems. Then a class of nonlinear systems with multiple equilibria subject to polytopic uncertainty is addressed by the parameter-dependent Lyapunov function method. New sufficient conditions for global convergence are presented. This allows the Lyapunov function to be parameter dependent. Furthermore, an LMI-based controller design method is also given, and reduced-order controllers can be designed by performing a structural constraint on the introduced slack variables. Several numerical examples are included to demonstrate the applicability of the proposed method.
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页码：147 / 164
页数：17
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