An Improved ILMI Method for Static Output Feedback Control With Application to Multivariable PID Control

Author

He, Yong ; Wang, Qing-Guo

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore

Volume

51

Issue

10

fYear

2006

Firstpage

1678

Lastpage

1683

Abstract

An improved iterative linear matrix inequality (ILMI) algorithm for static output feedback (SOF) stabilization problem without introducing any additional variables is proposed in this note. The proposed ILMI algorithm is also extended to solve the SOF H_infin controller design problem. They are applied to the multivariable PID controllers. Numerical examples show that the proposed algorithms yield better results and faster convergence than the existing ones

Keywords

H^infin control; control system synthesis; feedback; iterative methods; linear matrix inequalities; multivariable control systems; stability; three-term control; H_infin controller design; iterative linear matrix inequality; multivariable PID control; stabilization; static output feedback control; Chaotic communication; Communication system control; Control theory; Limit-cycles; Linear feedback control systems; Linear matrix inequalities; Nonlinear systems; Output feedback; Stability; Three-term control; linear matrix inequality (LMI); multivariable PID control; stabilization; static output feedback (SOF);

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.883029

Filename

1707889