A descriptor system approach to robust quadratic stability and stabilization of nonlinear systems

Author

Zuo, Zhiqiang ; Wang, Yijing

Author_Institution

Sch. of Electr. Eng. & Autom., Tianjin Univ., CT, China

Volume

1

fYear

2005

fDate

10-12 Oct. 2005

Firstpage

486

Abstract

The problems of quadratic stability and stabilization for continuous-time systems subject to nonlinear perturbations are considered in this paper. By using a descriptor model transformation of the system, some less conservative conditions are given in terms of linear matrix inequalities. An optimization procedure is given to stabilize the systems and at the same time, maximize the bounds on the nonlinearities. Some numerical examples are presented to show the effectiveness of our method.

Keywords

continuous time systems; linear matrix inequalities; nonlinear systems; optimisation; robust control; continuous-time systems; decentralized control; descriptor model transformation; descriptor system; linear matrix inequalities; nonlinear perturbations; nonlinear systems stability; optimization; robust quadratic stability; robust quadratic stabilization; Control systems; Distributed control; Interconnected systems; Linear matrix inequalities; Nonlinear systems; Riccati equations; Robust control; Robust stability; Sufficient conditions; Uncertain systems; Robust quadratic stabilization; decentralized control; descriptor model transformation; linear matrix inequalities;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2005 IEEE International Conference on

Print_ISBN

0-7803-9298-1

Type

conf

DOI

10.1109/ICSMC.2005.1571193

Filename

1571193