Simultaneous Stabilization and Robust Control of Polynomial Nonlinear Systems Using SOS Techniques

被引：40

作者：

Xu, Jun ^{[1
,2
]}

Xie, Lihua ^{[2
]}

Wang, Youyi ^{[2
]}

机构：

[1] Natl Univ Singapore, Temasek Labs, Singapore 117508, Singapore

[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 08期

关键词：

Nonlinear control; polynomial nonlinear systems; simultaneous stabilization; sum of squares (SOS); DESIGN;

D O I：

10.1109/TAC.2009.2022108

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 technical note is concerned with the simultaneous stabilization and robust performance control for a class of polynomial nonlinear systems. Building on the tenets of state-dependent polynomial Lyapunov functions, we present sufficient conditions for simultaneous stabilization with and without H-infinity performance. These conditions can be verified by the recently developed sum of squares technique which essentially solves a linear matrix inequality feasibility problem.

引用

页码：1892 / 1897

页数：6

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