Analysis and control with performance of piecewise affine and hybrid systems

Author

Ferrari-Trecate, Giancarlo ; Cuzzola, Rancesco Alessandro ; Mignone, Domenico ; Morari, Manfred

Author_Institution

Inst. fur Autom., Swiss Fed. Inst. of Technol., Zurich, Switzerland

Volume

1

fYear

2001

fDate

2001

Firstpage

200

Abstract

In this paper we investigate some analysis and control problems with performance for discrete-time hybrid systems in the piecewise affine form. By using arguments from the dissipativity theory for nonlinear systems, we show that H_∞ analysis and synthesis problems can be formulated and solved via linear matrix inequalities that take into account the switching structure of the systems. Moreover, such procedures can be generalized in order to solve both robust control problems and analysis/synthesis with other performance indices like the generalized H₂ norm

Keywords

H^∞ control; control system analysis; control system synthesis; discrete time systems; matrix algebra; nonlinear control systems; performance index; robust control; H_∞ analysis; H_∞ synthesis; LMI; control analysis; control synthesis; discrete-time hybrid systems; dissipativity theory; generalized H₂ norm; hybrid system control; linear matrix inequalities; nonlinear systems; performance indices; piecewise-affine system control; robust control problems; Control system analysis; Control systems; Ear; Hydrogen; Linear matrix inequalities; Lyapunov method; Performance analysis; Robust control; Stability; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.945542

Filename

945542