Pole assignment stabilization for a class of switched nonlinear time-varying delay systems

Marwen Kermani; Anis Sakly

doi:10.1016/j.isatra.2020.06.022

Pole assignment stabilization for a class of switched nonlinear time-varying delay systems

ISA Trans. 2020 Nov:106:138-151. doi: 10.1016/j.isatra.2020.06.022. Epub 2020 Jun 30.

Authors

Marwen Kermani¹, Anis Sakly²

Affiliations

¹ Laboratory of Automation, Electrical Systems and Environment (LAESE), National Engineering School of Monastir (ENIM), Ibn El Jazzar, Skaness, 5019, Monastir, University of Monastir, Tunisia; National School of Advanced Science and Technology of Borj Cedria, BP 122 Hammam-Chott 1164, Tunisie, University of Carthage, Tunisia. Electronic address: marwen.kermani@ensta-b.rnu.tn.
² Laboratory of Automation, Electrical Systems and Environment (LAESE), National Engineering School of Monastir (ENIM), Ibn El Jazzar, Skaness, 5019, Monastir, University of Monastir, Tunisia. Electronic address: sakly_anis@yahoo.fr.

PMID: 32624174
DOI: 10.1016/j.isatra.2020.06.022

Abstract

This paper investigates the pole assignment stabilization with memory state feedback controllers for switched nonlinear time-varying delay systems. More general time-varying delays which depend on the subsystem number are considered. Based on novel common Lyapunov functions (CLFs), the aggregation techniques, the proprieties and the Borne-Gentina criterion, new algebraic stabilization criteria are established. The proposed design can guarantee the stability of the closed-loop systems under arbitrary switching. It allows to avoid researching a common Lyapunov function (CLF), considered a difficult matter. Four illustrate examples were finally utilized to exhibit the effectiveness of the obtained results.

Keywords: Aggregation techniques; Approach; Arbitrary switching; Borne–Gentina criterion; Pole assignment; Stabilization; State feedback controllers; Switched nonlinear systems; Time-varying delays.