Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay

Citation
Sy. Xu et al., Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay, SYST CONTR, 43(2), 2001, pp. 77-84
Citations number
18
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
SYSTEMS & CONTROL LETTERS
ISSN journal
01676911 → ACNP
Volume
43
Issue
2
Year of publication
2001
Pages
77 - 84
Database
ISI
SICI code
0167-6911(20010615)43:2<77:QSASOU>2.0.ZU;2-L
Abstract
This paper deals with the problem of quadratic stability analysis and quadr atic stabilization for uncertain linear discrete-time systems with state de lay. The system under consideration involves state time delay and time-vary ing norm-bounded parameter uncertainties appearing in all the matrices of t he state-space model. Necessary and sufficient conditions for quadratic sta bility and quadratic stabilization are presented in terms of certain matrix inequalities, respectively. A robustly stabilizing state feedback controll er can be constructed by using the corresponding feasible solution of the m atrix inequalities. Two examples are presented to demonstrate the effective ness of the proposed approach. (C) 2001 Elsevier Science B.V. All rights re served.