H Infinite Stabilization of Uncertain Piecewise Linear Systems with Filippov Solutions
- Authors
-
-
Mohamadreza Ahmadi
Department of Electrical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran, P.O. Box: 41635-3756, Postal Code: 41996-13769, Tel: +98 131 6690270, Fax: +98 131 6690271
-
Hamed Mojallali
Department of Electrical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran, P.O. Box: 41635-3756, Postal Code: 41996-13769, Tel: +98 131 6690270, Fax: +98 131 6690271
-
Rafael Wisniewski
Department of Electronic Systems, Automation and Control, Aalborg University, Fredrik Bajers Vej 7 C, 9220, Aalborg East, Denmark, Tel: +45 9940 8762, Fax: +45 9815 1739
-
- Abstract
- This paper is concerned with robust stabilization and H infinite control of piecewise linear switched systems subject to uncertainty in the context of Filippov solutions. The analysis developed here encapsulates solutions with infinite switching in finite time. First, a set of linear matrix inequalities are brought forward which determines suficient conditions to investigate the asymptotic stability of Filippov solutions. Then, a method to construct robust stabilizing switching controllers is proposed. Subsequently, the latter result is extended to switching controllers with H infinite performance. The suggested controller synthesis schemes are based on solving sets of bilinear matrix inequalities for which appropriate algorithms are delineated.
- References
- Downloads
- Published
- 2012-06-29
- Issue
- Vol. 14 No. 2 (2012)
- Section
- Articles