Title :
A convex hybrid H∞ synthesis with guaranteed convergence rate
Author :
Fichera, F. ; Prieur, Christophe ; Tarbouriech, S. ; Zaccarian, Luca
Author_Institution :
LAAS, Toulouse, France
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426190
