Stability of uncertain piecewise affine systems with time-delay

Author

Moezzi, Kaveh ; Rodrigues, Luis ; Aghdam, Amir G.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, QC, Canada

fYear

2009

fDate

10-12 June 2009

Firstpage

2373

Lastpage

2378

Abstract

This paper addresses the problem of robust stability of piecewise affine (PWA) uncertain systems with unknown time-varying delay in the state. It is assumed that the uncertainty is norm-bounded and that upper bounds on the state delay and its rate of change are available. A set of linear matrix inequalities (LMI) is derived providing sufficient conditions for the stability of the system. These conditions depend on the upper bound of the delay. The main contributions of the paper are as follows. First, new delay-dependent LMI conditions are derived for the stability of PWA time-delay systems. Second, the stability conditions are extended to the case of uncertain PWA time-delay systems. Numerical examples are presented to show the effectiveness of the approach.

Keywords

delays; linear matrix inequalities; piecewise constant techniques; stability; time-varying systems; uncertain systems; linear matrix inequalities; robust stability; time-varying delay; uncertain piecewise affine systems; Control systems; Delay; Lyapunov method; Robust stability; Stability analysis; Sufficient conditions; Time varying systems; Uncertain systems; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2009. ACC '09.

Conference_Location

St. Louis, MO

ISSN

0743-1619

Print_ISBN

978-1-4244-4523-3

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2009.5160711

Filename

5160711