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

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

3878

Lastpage

3883

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4738689

Filename

4738689