A convex hybrid H∞ synthesis with guaranteed convergence rate

Author

Fichera, F. ; Prieur, Christophe ; Tarbouriech, S. ; Zaccarian, Luca

Author_Institution

LAAS, Toulouse, France

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

4217

Lastpage

4222

Abstract

In this paper, a hybrid controller design for a continuous-time linear time-invariant (LTI) plant is presented. The idea is to simultaneously design the flow and jump maps with the respective sets of the controller, guaranteeing H_∞ specifications and decay rate of the plant state of the hybrid closed-loop system. A convex LMI-based design procedure is proposed, generalizing the results in [22].

Keywords

H^∞ control; closed loop systems; continuous time systems; control system synthesis; convergence; linear matrix inequalities; linear systems; H∞ specification; LTI plant; continuous-time linear time-invariant plant; convex LMI-based design; convex hybrid H∞ synthesis; decay rate; flow design; guaranteed convergence rate; hybrid closed-loop system; hybrid controller design; jump map; plant state; Closed loop systems; Control theory; Convergence; Eigenvalues and eigenfunctions; Helium; Lyapunov methods; Stability; ℌ∞ specification; Hybrid controller synthesis; convergence rate; exponential stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426190

Filename

6426190