Variable Structure Control of switched systems based on Lyapunov-Metzler-SPR systems

Author

Cardim, Rodrigo ; Teixeira, Marcelo C M ; Assuncao, Edvaldo ; Covacic, Marcio R.

Author_Institution

Dept. of Electr. Eng., UNESP-Sao Paulo State Univ., Sao Paulo

fYear

2008

fDate

8-10 June 2008

Firstpage

18

Lastpage

23

Abstract

This paper presents two variable structure controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzler (LM) inequalities and also on strictly positive real (SPR) systems stability results. The definition of Lyapunov-Metzler-SPR (LMS) systems and its direct application in the design of VSC for switched systems are introduced in this paper. Two examples illustrate the design of the proposed VSC, considering a plant given by a switched system with a switched-state control law and two linear time-invariant systems, that are not controllable and also can not be stabilized with state feedback.

Keywords

Lyapunov methods; continuous time systems; control system synthesis; linear systems; stability; state feedback; time-varying systems; variable structure systems; Lyapunov-Metzler inequalities; Lyapunov-Metzler-SPR system; continuous-time switched plant; linear time-invariant system; state feedback vector; strictly positive real systems stability; switched systems; variable structure control; Control system synthesis; Control systems; Design methodology; Filtering theory; Linear feedback control systems; Linear matrix inequalities; Output feedback; Stability; State feedback; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Variable Structure Systems, 2008. VSS '08. International Workshop on

Conference_Location

Antalya

Print_ISBN

978-1-4244-2199-2

Electronic_ISBN

978-1-4244-2200-5

Type

conf

DOI

10.1109/VSS.2008.4570676

Filename

4570676