Dynamic feedback controller design using computational mathematics methods

Author

Krokavec, D. ; Filasová, A.

Author_Institution

Dept. of Cybern. & Artificial Intell., Tech. Univ. of Kosice, Kosice

fYear

2008

fDate

21-22 Jan. 2008

Firstpage

55

Lastpage

58

Abstract

The questions addressed in this paper concern the applicability of the linear matrix inequalities (LMI) to design system control using dynamic controller structures. Based on Lyapunov equation and LMI technique, the paper presents method for design of those dynamic controllers which stabilize a class of linear continuous time MIMO systems. A stabilization criterion is reformulated in terms of two LMI, which can be easily solved by efficient convex optimization algorithms using self-dual-minimization (SeDuMi) package for Matlab. A numerical example is included to show the properties of the method presented.

Keywords

Lyapunov methods; MIMO systems; control system synthesis; feedback; linear matrix inequalities; linear systems; optimisation; stability criteria; LMI technique; Lyapunov equation; computational mathematics methods; convex optimization algorithms; dynamic feedback controller design; linear continuous time MIMO systems; linear matrix inequalities; self-dual-minimization package; stabilization criterion; Adaptive control; Constraint optimization; Control systems; Design methodology; Equations; Informatics; Linear feedback control systems; Linear matrix inequalities; MIMO; Mathematics;

fLanguage

English

Publisher

ieee

Conference_Titel

Applied Machine Intelligence and Informatics, 2008. SAMI 2008. 6th International Symposium on

Conference_Location

Herlany

Print_ISBN

978-1-4244-2105-3

Electronic_ISBN

978-1-4244-2106-0

Type

conf

DOI

10.1109/SAMI.2008.4469133

Filename

4469133