Structured control of affine linear parameter varying systems

Author

Adegas, F.D. ; Stoustrup, J.

Author_Institution

Dept. of Electron. Syst., Aalborg Univ., Aalborg, Denmark

fYear

2011

fDate

June 29 2011-July 1 2011

Firstpage

739

Lastpage

744

Abstract

This paper presents a new procedure to design structured controllers for discrete-time affine linear parameter-varying systems (A-LPV). The class of control structures includes decentralized of any order, fixed-order output feedback, simultaneous plant-control design, among others. A parameter-varying non-convex condition for an upper bound on the induced L₂-norm performance is solved by an iterative linear matrix inequalities (LMI) optimization algorithm. Numerical examples demonstrate the effectiveness of the proposed approach.

Keywords

concave programming; control system synthesis; discrete time systems; feedback; iterative methods; linear matrix inequalities; parameter estimation; L₂-norm performance; discrete time affine linear parameter varying system; fixed order output feedback; iterative linear matrix inequality optimization algorithm; parameter varying nonconvex condition; simultaneous plant control design; structured controller design; Linear matrix inequalities; Lyapunov methods; Numerical stability; Optimization; Output feedback; Symmetric matrices; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2011

Conference_Location

San Francisco, CA

ISSN

0743-1619

Print_ISBN

978-1-4577-0080-4

Type

conf

DOI

10.1109/ACC.2011.5991517

Filename

5991517