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

Author:

Sabrine Bedoui1ORCID,Anis Belhadj Brahim1,Salwa Elloumi1,Naceur Benhadj Braiek1

Affiliation:

1. Laboratoire des Systèmes Avancés (LSA), Ecole Polytechnique de Tunisie, Université de Carthage, Tunisia

Abstract

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.

Publisher

SAGE Publications

Subject

Instrumentation

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Enlarging Nonlinear Discrete System’s Domain of Attraction Via Linear Control Law;2022 5th International Conference on Advanced Systems and Emergent Technologies (IC_ASET);2022-03-22

2. A near-optimal decentralized control approach for polynomial nonlinear interconnected systems;Transactions of the Institute of Measurement and Control;2020-12-21

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