Simultaneous stabilization for a collection of uncertain time-delay systems using sliding-mode output feedback control. Issue 9 (1st September 2020)

• Record Type: Journal Article
• Authors: Dastaviz, A.; Binazadeh, T.
• Is Part Of: International journal of control. Volume 93:Issue 9(2020)
• Page Start: 2135
• Page End: 2144
• Publication Date: 2020-09-01
• Subjects: Time-delay nonlinear systems -- uncertain terms -- robust simultaneous stabilisation -- sliding mode -- linear matrix inequality (LMI); Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2018.1543897
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: In this paper, the simultaneous stabilisation problem is addressed for a collection of time-delay nonlinear systems which are perturbed by time-varying norm-bounded uncertainties. The time-delay is considered to change within an interval. A design procedure for constructing a simultaneously stabilising sliding mode output feedback controller is presented. At first, by applying a delay-range-dependent stability analysis, sufficient conditions concerned with the existence of a common sliding surface are derived which are then transformed into the LMI-based conditions. Finally, a robust simultaneously stabilising control law is proposed to drive all the systems to the sliding surface in finite-time. A numerical example is included to demonstrate the effectiveness of the proposed method.