Robust static output feedback design for polynomial nonlinear systems

被引:41
作者
Zhao, Dan [1 ]
Wang, Jian-Liang [1 ]
机构
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
关键词
nonlinear systems; output feedback; H-infinity control; sum of squares; semidefinite programming; H-INFINITY-CONTROL; SQUARES OPTIMIZATION; SUM;
D O I
10.1002/rnc.1541
中图分类号
TP [自动化技术、计算机技术];
学科分类号
080201 [机械制造及其自动化];
摘要
A computational scheme of solving the nonlinear static output feedback design problems for a class of polynomial nonlinear systems is investigated in this paper. Sufficient conditions to achieve the closed-loop stability with or without H-infinity performance are presented as state-dependent matrix inequalities, which provides an effective way for the application of the new sum of squares programming technique to obtain computationally tractable solutions. By introducing additional matrix variables, we succeed in eliminating the coupling between system matrices and the Lyapunov matrix. The proposed methodology is also extended to the synthesis for the parameter-dependent polynomial systems. Robust polynomial output feedback controller is designed in an efficient computational manner. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed methodology. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:1637 / 1654
页数:18
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