eprintid: 2254
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/22/54
datestamp: 2023-11-09 15:50:27
lastmod: 2023-11-09 15:50:27
status_changed: 2023-11-09 15:42:20
type: article
metadata_visibility: show
creators_name: Minh, V.T.
creators_name: Awang, M.
creators_name: Parman, S.
title: Conditions for stabilizability of linear switched systems
ispublished: pub
keywords: Closed loops; Closed-loop feedback system; Continuous time; continuous time linear switched systems; Discrete time; Discrete-time switched system; Global asymptotical stability; Linear quadratic; Linear switched systems; Lyapunov matrix; Open loop systems; Polytopic uncertainties; Stabilizability; Switched linear system; Switched system; Switching signals, Closed loop systems; Feedback; Linear matrix inequalities; Linear systems; Riccati equations; State feedback; Switching systems; Time sharing systems; Time varying systems, Continuous time systems
note: cited By 15
abstract: This paper investigates some conditions that can provide stabilizability for linear switched systems with polytopic uncertainties via their closed loop linear quadratic state feedback regulator. The closed loop switched systems can stabilize unstable open loop systems or stable open loop systems but in which there is no solution for a common Lyapunov matrix. For continuous time switched linear systems, we show that if there exists solution in an associated Riccati equation for the closed loop systems sharing one common Lyapunov matrix, the switched linear systems are stable. For the discrete time switched systems, we derive a Linear Matrix Inequality (LMI) to calculate a common Lyapunov matrix and solution for the stable closed loop feedback systems. These closed loop linear quadratic state feedback regulators guarantee the global asymptotical stability for any switched linear systems with any switching signal sequence. © 2011 Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg.
date: 2011
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79951688520&doi=10.1007%2fs12555-011-0118-2&partnerID=40&md5=15812a46b4d04d4144d7dfe9f457acf3
id_number: 10.1007/s12555-011-0118-2
full_text_status: none
publication: International Journal of Control, Automation and Systems
volume: 9
number: 1
pagerange: 139-144
refereed: TRUE
issn: 15986446
citation:   Minh, V.T. and Awang, M. and Parman, S.  (2011) Conditions for stabilizability of linear switched systems.  International Journal of Control, Automation and Systems, 9 (1).  pp. 139-144.  ISSN 15986446