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.

引用

页码：147 / 164

页数：17

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