Finite-Time Convergence Stability of Lur’e Discrete-Time Systems | Zendy

Boutheina Sfaihi | Zendy; Sirine Fekih | Zendy; Mohamed Benrejeb | Zendy

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Finite-Time Convergence Stability of Lur’e Discrete-Time Systems

Author(s) -

Boutheina Sfaihi,

Sirine Fekih,

Mohamed Benrejeb

Publication year - 2016

Publication title -

studies in informatics and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.321

H-Index - 22

eISSN - 1841-429X

pISSN - 1220-1766

DOI - 10.24846/v25i4y201601

Subject(s) - computer science , convergence (economics) , stability (learning theory) , discrete time and continuous time , mathematics , control theory (sociology) , artificial intelligence , machine learning , statistics , control (management) , economics , economic growth

In this paper, a constructive design methodology for Finite-Time Stability (FTS) of a class of nonlinear discrete-time systems is proposed. A dead-beat controller that can achieve n–finite-time stability is constructed. Furthermore, stability conditions, based on the use of Borne and Gentina practical stability criterion and matrices in the Benrejeb arrow form, are synthesized. Similarity between transient behaviors of dead-beat controlled linearized and nonlinear third order systems are shown and concluding remarks are formulated.

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