About Gain Scheduled State Feedback Controllers for Rational LPV Systems

Author

Bouali, A. ; Chevrel, P. ; Yagoubi, M.

Author_Institution

Dept. Automatique, Inst. de Recherche en Commun. et Cybernetique de Nantes

fYear

2006

fDate

5-8 Dec. 2006

Firstpage

1

Lastpage

6

Abstract

The problem of H_infin, state-feedback control synthesis for a subclass of rational LPV (linear varying parameter) systems is studied. It is shown first that rational LPV systems may be equivalently recast as an affine descriptor LPV system. Working on such realizations and under some simplifying assumptions, sufficient conditions for stability and H_infin, performance are proposed in terms of LMI (linear matrix inequalities). Based on these conditions, a LMI problem is formulated in order to design constant or affine (in the varying parameters) H_infin state-feedback. The effectiveness of the controllers so obtained is illustrated through academic examples

Keywords

H^infin control; control system synthesis; gain control; linear matrix inequalities; linear systems; stability; state feedback; H_infin; gain scheduled state feedback controllers; linear matrix inequalities; linear varying parameter systems; rational LPV systems; stability; state-feedback control synthesis; sufficient conditions; Automatic control; Communication system control; Constraint optimization; Control system synthesis; Control systems; Lyapunov method; Stability; State feedback; Sufficient conditions; Time varying systems; LMI; descriptor realization; quadratic Lyapunov functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision, 2006. ICARCV '06. 9th International Conference on

Conference_Location

Singapore

Print_ISBN

1-4244-0341-3

Electronic_ISBN

1-4214-042-1

Type

conf

DOI

10.1109/ICARCV.2006.345380

Filename

4150203