Title :
H∞ design with pole placement constraints: an LMI approach
Author :
Chilali, Mahmoud ; Gahinet, Pascal
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
This paper addresses the design of H∞ controllers that satisfy an additional constraint on the closed-loop pole location. In the state-feedback case, sufficient conditions for feasibility are derived for a general class of stability regions. These conditions are expressed as a system of linear matrix inequalities (LMI). Mixed H2 /H∞ design with root clustering constraints is also discussed. In the output-feedback case, similar results are obtained when the stability region is either a disk or the shined left-half plane. The validity and tractability of this approach are illustrated by a few examples
Keywords :
H∞ control; closed loop systems; control system synthesis; matrix algebra; pole assignment; stability; state feedback; H∞ controllers; closed-loop pole; linear matrix inequality; output-feedback; pole placement constraints; stability; state-feedback; sufficient conditions; tractability; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Polynomials; Region 2; Stability; State feedback; Strips; Symmetric matrices; Transient response;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410998
