Disturbance attenuation of discrete-time switched linear systems

Author

Ji, Zhijian ; Yu, Haisheng ; Guo, Xiaoxia ; Wang, Long

Author_Institution

Sch. of Autom. Eng., Qingdao Univ.

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

868

Lastpage

873

Abstract

Based on multiple Lyapunov functions methodology, we study disturbance attenuation of discrete-time switched linear systems. A bilinear matrix inequalities (BMIs) based condition is derived to stabilize the switched system with a prescribed disturbance attenuation level Upsi when only switching can be utilized in the control of systems. This condition can be dealt with as linear matrix inequalities (LMIs) if the associated scalars are selected in advance. Then the synthesis problem via switched state feedback is studied. All the switching rules adopted are state dependent and are constructively designed

Keywords

Lyapunov methods; discrete time systems; linear matrix inequalities; linear systems; state feedback; switching theory; bilinear matrix inequality; discrete-time switched linear system; disturbance attenuation; linear matrix inequality; multiple Lyapunov function; switched state feedback; switched system stabilization; switching rules; Attenuation; Control systems; Intelligent control; Linear matrix inequalities; Linear systems; Lyapunov method; Stability; State feedback; Switched systems; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE

Conference_Location

Munich

Print_ISBN

0-7803-9797-5

Electronic_ISBN

0-7803-9797-5

Type

conf

DOI

10.1109/CACSD-CCA-ISIC.2006.4776759

Filename

4776759