Analysis and state feedback control for PWA systems with additive noise

Author

Rodrigues, Luis ; Gollu, Narendra

Author_Institution

Dept. of Mech. & Ind. Eng., Concordia Univ., Montreal, Que.

fYear

2006

fDate

14-16 June 2006

Abstract

This work presents new analysis and state feedback synthesis methods for piecewise-affine (PWA) systems with additive noise. The analysis problem can be cast as an optimization program subject to linear matrix inequalities (LMIs) and can be solved very efficiently using currently available software packages. The synthesis problem can also be cast as am optimization program subject to a set of linear matrix inequalities (LMIs) analytically parameterized by a vector. Analysis and controller design are performed by using a stochastic globally quadratic Lyapunov function. A numerical example is included to illustrate the procedure

Keywords

Lyapunov methods; control system analysis; control system synthesis; linear matrix inequalities; noise; optimisation; piecewise linear techniques; state feedback; PWA systems; additive noise; controller design; globally quadratic Lyapunov function; linear matrix inequality; piecewise-affine systems; software packages; state feedback control; Additive noise; Control system synthesis; Control systems; Linear matrix inequalities; Lyapunov method; Performance analysis; Software packages; State feedback; Stochastic processes; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657589

Filename

1657589