An LMI-based L2 gain performance analysis for reset control systems

Author

Aangenent, W.H.T.M. ; Witvoet, G. ; Heemels, W.P.M.H. ; van de Molengraft, M.J.G. ; Steinbuch, M.

Author_Institution

Dept. of Mech. Eng., Tech. Univ. Eindhoven, Eindhoven

fYear

2008

fDate

11-13 June 2008

Firstpage

2248

Lastpage

2253

Abstract

In this paper we present a general LMI-based analysis method to determine an upperbound on the L₂ gain performance of a reset control system. These computable sufficient conditions for L₂ stability, based on piecewise quadratic Lyapunov functions, are suitable for all LTI plants and linear-based reset controllers, thereby generalizing the results available in literature. Our results furthermore extend the existing literature by including tracking and measurement noise problems by using strictly proper input filters. We illustrate the approach by a numerical example.

Keywords

Lyapunov methods; filters; linear matrix inequalities; nonlinear control systems; LMI-based L₂ gain performance analysis; input filters; linear-based reset controllers; measurement noise problems; piecewise quadratic Lyapunov functions; reset control systems; Control systems; Filters; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Noise measurement; Performance analysis; Performance gain; Stability analysis; Sufficient conditions; Hybrid systems; L2 gain; Lyapunov stability; linear matrix inequality; reset control; tracking;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2008

Conference_Location

Seattle, WA

ISSN

0743-1619

Print_ISBN

978-1-4244-2078-0

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2008.4586826

Filename

4586826