Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application

Author

He, Xu ; Dimirovski, Georgi M. ; Zhao, Jun

Author_Institution

Key Lab. of Integrated Autom. of Process Ind., Northeastern Univ., Shenyang, China

fYear

2010

fDate

10-13 Oct. 2010

Firstpage

386

Lastpage

392

Abstract

This paper presents a controller design method for dealing with the induced ℒ₂-norm problem for switched linear parameter-varying (LPV) systems. Considering the arbitrary switchings caused by the parameters varying, a common parameter-dependent Lyapunov function is employed to derive sufficient linear matrix inequality (LMI) conditions for the switched LPV systems. A family of LPV controllers are designed according to the LMI conditions, and each of them is suitable for the corresponding parameter region. The proposed switching LPV control method is applied to an F-16 aircraft longitudinal model and simulation results demonstrate the effectiveness of the approach.

Keywords

Lyapunov methods; aircraft control; control system synthesis; linear matrix inequalities; linear systems; time-varying systems; ℒ₂-norm; F-16 aircraft longitudinal model; linear matrix inequality; parameter dependent Lyapunov function method; switched LPV system; switched linear parameter-varying systems; switching LPV control method; Equations; Switches; Common parameter-dependent Lyapunov function; Linear matrix inequality; Switched linear parameter-varying system;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Man and Cybernetics (SMC), 2010 IEEE International Conference on

Conference_Location

Istanbul

ISSN

1062-922X

Print_ISBN

978-1-4244-6586-6

Type

conf

DOI

10.1109/ICSMC.2010.5641742

Filename

5641742