Monday , June 18 2018

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

Boutheina SFAIHI, Sirine FEKIH, Mohamed BENREJEB
Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis,
Laboratoire de Recherche en Automatique (LARA),
B.P. 37, 1002 Tunis, Le Belvédère, Tunisia
Boutheina.sfaihi@isetr.rnu.tn; Sirine.fekih@enit.rnu.tn; Mohamed.benrejeb@enit.rnu.tn

Abstract: 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.

Keywords: HDiscrete Lur’e Postnikov systems; Finite-time stability; Dead-beat control; Vector norm; Benrejeb arrow form matrix.

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CITE THIS PAPER AS:
Boutheina SFAIHI, Sirine FEKIH, Mohamed BENREJEB,
Finite-Time Convergence Stability of Lur’e Discrete-Time Systems, Studies in Informatics and Control, ISSN 1220-1766, vol. 25(4), pp. 401-410, 2016.

https://doi.org/10.24846/v25i4y201601