Title :
New LMI-based conditions for stability, H∞ performance analysis and state-feedback control of rational LPV systems
Author :
Bouali, A. ; Yagoubi, M. ; Chevrel, P.
Author_Institution :
Inst. de Rech. en Cybernetique et Commun. de Nantes, Nantes, France
Abstract :
This paper provides new LMI-based conditions for stability and H∞ performance analysis and state-feedback synthesis of rational linear parameter varying systems (LPV). Such systems are equivalently recast as affine descriptor LPV systems. Sufficient LMI-based conditions for stability and H∞ performance are then proposed based on a descriptor representation. These conditions are given in terms of dilated strict LMIs. A numerical example is provided to illustrate the efficiency of the proposed conditions.
Keywords :
H∞ control; linear matrix inequalities; linear parameter varying systems; stability; state feedback; H∞ performance analysis; affine descriptor LPV systems; dilated strict LMI; rational LPV systems; rational linear parameter varying systems; stability; state-feedback control; sufficient LMI-based conditions; Europe; Lyapunov methods; Numerical stability; Optimization; Performance analysis; Stability analysis; Sufficient conditions;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
