Title :
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
Abstract :
The problem of Hinfin, 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 Hinfin, 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) Hinfin state-feedback. The effectiveness of the controllers so obtained is illustrated through academic examples
Keywords :
Hinfin control; control system synthesis; gain control; linear matrix inequalities; linear systems; stability; state feedback; Hinfin; 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;
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
DOI :
10.1109/ICARCV.2006.345380
