Quadratic Stability methodology by parameter dependent state feedback for LPV systems

Author

Martinez, E. ; Galindo, R.

Author_Institution

Dept. of Electr. & Mech. Eng., Autonomus Univ. of Nuevo Leon, Nuevo Leon, Mexico

fYear

2012

fDate

26-28 Sept. 2012

Firstpage

1

Lastpage

6

Abstract

This paper presents an alternative methodology to solve the quadratic stabilization problem via parameter dependent state feedback. Sufficient conditions for Quadratic Stability by parameter dependent state feedback are given, the LPV control law is gotten by a parameter dependent interpolation of LTI controllers (one for each vertex) solving the regulation problem. This technique is proved using an upper bound of the parameter dependent Lyapunov function of the system. The results are illustrated by a simulation example of a two-cart system.

Keywords

Lyapunov methods; linear matrix inequalities; linear systems; stability; state feedback; LPV control law; LPV system; linear parameter varying system; parameter dependent Lyapunov function; parameter dependent interpolation; parameter dependent state feedback; quadratic stability methodology; quadratic stabilization; sufficient condition; two-cart system; Interpolation; Linear matrix inequalities; Lyapunov methods; Stability analysis; State feedback; Symmetric matrices; Upper bound; Linear Matrix Inequalities (LMI´s); Linear Parameter Varying Systems (LPV Systems); Lyapunov´s stability; Quadratic Stabilization by state feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering, Computing Science and Automatic Control (CCE), 2012 9th International Conference on

Conference_Location

Mexico City

Print_ISBN

978-1-4673-2170-9

Type

conf

DOI

10.1109/ICEEE.2012.6421138

Filename

6421138