Title :
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
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;
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
DOI :
10.1109/SAMI.2008.4469133