Title :
H2 gain scheduling control for rational LPV systems using the descriptor framework
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 the design of H2 gain scheduled controllers for rational linear parameter varying systems (LPV). Such systems are equivalently recast as affine descriptor LPV systems. Based on this, new sufficient LMI-based conditions for H2 performance analysis are proposed. These conditions can be turned to a finite set of LMIs and allow the use of parameter-dependent Lyapunov functions. Accordingly, new LMI conditions for the H2 gain scheduled controller synthesis problem are given. A numerical example highlights the effectiveness of the proposed conditions.
Keywords :
Lyapunov methods; control system synthesis; gain control; linear matrix inequalities; linear systems; rational functions; scheduling; H2 gain scheduling control design; LMI; descriptor framework; linear matrix inequality; parameter-dependent Lyapunov function; rational linear parameter varying system; Control system analysis; Control system synthesis; Control systems; Equations; Hydrogen; Interpolation; Performance analysis; Scheduling; Stability; State-space methods;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738689
