Feedback control design of a switched system using non-common solutions of a quadratic minimization problem

Author

Iida, Tomoharu ; Chida, Yuji

Author_Institution

Grad. Sch., Shinshu Univ., Nagano, Japan

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

1509

Lastpage

1514

Abstract

In the present paper, a novel control design procedure for a switched system is proposed. The procedure is based on the guaranteed cost control and the quadratic performance index. A feedback control is designed to be close to the optimal linear quadratic feedback gains under the condition that the stability of the switched system is guaranteed. For this purpose, an iterative procedure is proposed in which the stability of the switched system is guaranteed by a common solution of simultaneous Lyapunov inequalities and the control performance is guaranteed by non-common solutions of linear matrix inequalities derived by the guaranteed cost control. The effectiveness of the proposed method is verified through numerical simulations.

Keywords

Lyapunov methods; control system synthesis; feedback; iterative methods; linear matrix inequalities; linear quadratic control; minimisation; performance index; quadratic programming; stability; time-varying systems; Lyapunov inequalities; feedback control design procedure; guaranteed cost control; iterative procedure; linear matrix inequalities; noncommon solutions; numerical simulation; optimal linear quadratic feedback gains; quadratic performance index; switched system stability; Control design; Performance analysis; Stability criteria; Switched systems; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2014 IEEE Conference on

Conference_Location

Juan Les Antibes

Type

conf

DOI

10.1109/CCA.2014.6981538

Filename

6981538