Stability and performance of discrete-time switched linear systems

Author(s)

Deaecto, Grace S. ^[1] ; Geromel, Jose C. ^[2]

Affiliation

^[1] Univ Estadual Campinas, DMC, Sch Mech Engn, BR-13083860 Campinas, SP - Brazil

^[2] Univ Estadual Campinas, DCA, Sch Elect & Comp Engn, BR-13083852 Campinas, SP - Brazil

• Document type: Journal article
• Source: SYSTEMS & CONTROL LETTERS; v. 118, p. 1-7, AUG 2018.
• Web of Science Citations: 5

Abstract

This paper deals with stability analysis and control design of discrete-time switched linear systems. The results are based on a new sufficient condition for exponential stabilizability. A performance index that falls in the context of H-2 norm is considered in order to optimize the joint design of a state dependent switching function and a state feedback control law. All control design conditions are expressed through linear matrix inequalities (LMIs). Comparisons with other available design procedures are made by means of examples borrowed from the literature. The present procedure is more amenable for control synthesis purposes and simpler from both theoretical and numerical viewpoints. Three state feedback control switching strategies are presented. The complexity of the control law is discussed. (C) 2018 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 17/20343-0 - Switched control systems: new theoretical perspectives and practical applications
• Grantee: Grace Silva Deaecto
• Support Opportunities: Regular Research Grants