Stabilizing switching laws for switched LPV systems with all unstable subsystems

Author

Xu He ; Dymirkovsky, Gyorgyi

Author_Institution

State Key Lab. of Robot., Shenyang Inst. of Autom., Shenyang, China

fYear

2013

fDate

4-6 July 2013

Firstpage

377

Lastpage

382

Abstract

This investigation presents a synthesis solution for stabilizing switching laws a class of parameter-varying plants represented via linear LPV systems that has all unstable subsystems. Considered class of LPV systems has state matrices as parametrically affine with parameter varying in a convex set for which all the subsystems are unstable. Stabilization design of switching laws is solved that enforce overall state trajectory that is asymptotically convergent to the equilibrium state. Via the parameter-dependent multiple Lyapunov function approach, a set of linear matrix inequalities guaranteeing the existence of parameter-dependent Lyapunov functions is derived. An illustrative example and the respective simulation results are given that demonstrate the effectiveness of this new synthesis design for this class of LPV systems.

Keywords

Lyapunov methods; control system synthesis; linear matrix inequalities; linear systems; stability; time-varying systems; LPV systems; asymptotic convergence; convex set; linear matrix inequalities; linear parameter-varying systems; parameter-dependent multiple Lyapunov function approach; parameter-varying plants; stabilization design; stabilizing switching laws; state matrices; state trajectory; switched LPV systems; synthesis solution; unstable subsystems; Asymptotic stability; Linear matrix inequalities; Lyapunov methods; Simulation; Switches; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

System Science and Engineering (ICSSE), 2013 International Conference on

Conference_Location

Budapest

ISSN

2325-0909

Print_ISBN

978-1-4799-0007-7

Type

conf

DOI

10.1109/ICSSE.2013.6614694

Filename

6614694