Title :
An Approach of Asymptotic Stability Domain Estimation of Discrete Polynomial Systems
Author :
Bacha, Anis ; Jerbi, Houssem ; Braiek, Naceur Benhadj
Author_Institution :
Lab. d´´Etude et de Commande Automatique des Processus, Ecole polytechnique de Tunisie, La Marsa
Abstract :
We present a new approach of estimating the asymptotic stability region for nonlinear polynomial discrete systems. This approach is based on the reversing trajectory principle. An approximate reverse system is proposed for polynomial discrete models, and the application of the backward iteration on this system performed from the boundary of an initial estimated domain of stability leads to a large region of asymptotic stability. The proposed approach has been tested on the known Vander-Pool model, and then applied for a discrete synchronous generator system
Keywords :
asymptotic stability; discrete systems; estimation theory; nonlinear systems; polynomials; Kronecker product; Vander-Pool model; approximate reverse system; asymptotic stability domain estimation; backward iteration; discrete polynomial systems; discrete synchronous generator system; nonlinear discrete systems; nonlinear polynomial discrete systems; polynomial discrete models; reversing trajectory principle; Asymptotic stability; Lab-on-a-chip; Linear systems; Nonlinear equations; Nonlinear systems; Oscillators; Polynomials; Synchronous generators; System testing; Systems engineering and theory; Kronecker product; Nonlinear discrete systems; asymptotic stability region; reversing trajectory method;
Conference_Titel :
Computational Engineering in Systems Applications, IMACS Multiconference on
Conference_Location :
Beijing
Print_ISBN :
7-302-13922-9
Electronic_ISBN :
7-900718-14-1
DOI :
10.1109/CESA.2006.4281665
