Generalization of a stability domain estimation method for nonlinear discrete systems

2016 ◽  
Vol 37 (2) ◽  
pp. 1130-1141 ◽  
Author(s):  
Rim Zakhama ◽  
Anis Bacha Bel Hadj Brahim ◽  
Naceur Benhadj Braiek
Keyword(s):  
Estimation Method ◽  
Discrete Systems ◽  
Stability Domain ◽  
Nonlinear Discrete Systems

On the synthesis of a polynomial controller for enlarging the stability domain for nonlinear discrete system

2020 ◽  
Vol 42 (10) ◽  
pp. 1834-1839 ◽  
Author(s):  
Bedoui Sabrine ◽  
Belhadj Brahim Anis ◽  
Elloumi Salwa ◽  
Benhadj Braiek Naceur
Keyword(s):  
Stability Region ◽  
Algebraic Method ◽  
Discrete Systems ◽  
Stability Domain ◽  
Attraction Domain ◽  
Initial Stability ◽  
Polynomial Controller ◽  
The Stability ◽  
Nonlinear Discrete System ◽  
Nonlinear Discrete Systems

This paper aims to propose an algebraic method for estimating the stability region for nonlinear discrete systems. The main contribution is the improvement of an existing technique to enlarge the initial stability region in which the asymptotic stability is guaranteed. To deal with the maximization issue, a state feedback controller is proposed to extend the largest estimation of attraction domain of nonlinear polynomial discrete systems. The proposed approach is illustrated and validated on an isothermal stirred tank reactor.

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