TITLE:
Validity of Approach to Maximize the ASR of the Order Superiorly Two in Discrete Nonlinear Systems
AUTHORS:
Samia Charfeddine, Lassaad Sbita
KEYWORDS:
Discrete-Time Systems, Reverse Trajectory Method, Nonlinear Polynomial Systems, Asymptotic Stability Region (ASR), Synchronous Generateur
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.3 No.3,
July
30,
2014
ABSTRACT:
This paper is, in fact, a proposal of a polynomial approach to the
nonlinear systems control by using the concept of linearization by state
feedback. In this context, a discretization method is presented. We developed a
discrete control scheme based on an approximate feedback linearization method
and the reversing trajectory method. The proposed control strategy sits on the
methods of widening the stability domains of operating points. Such domains are
expanded through the use of the non Lyapunov stability synthesis methods.
Additionally, the developed technique is employed for the control of the class
of systems with an order higher than two; more precisely, the example of a
synchronous generator featured in a strongly nonlinear model.