Title :
Constrained control of delayed discrete-time positive systems
Author_Institution :
Inst. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu
Abstract :
This paper addresses the stability and stabilization problem of a class of discrete-time linear systems with delays, under positivity restriction. A controller is designed for guaranteeing asymptotical stability and positivity of the resulted closed-loop systems. The necessary and sufficient conditions for the existence of such a controller proposed in terms of a set of linear matrix inequalities (LMIs), and the method of how to figure out the controller, if it exists, is provided. In addition, some sufficient stability and stabilization conditions are also established for delayed systems with uncertainties.
Keywords :
asymptotic stability; closed loop systems; control system synthesis; delays; discrete time systems; linear matrix inequalities; linear systems; asymptotical stability; closed- loop systems; constrained control; delayed discrete-time positive systems; discrete-time linear systems; linear matrix inequalities; Asymptotic stability; Control system synthesis; Control systems; Delay lines; Delay systems; Linear matrix inequalities; Linear systems; Lyapunov method; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on
Conference_Location :
Fujian
Print_ISBN :
978-1-4244-2063-6
Electronic_ISBN :
978-1-4244-2064-3
DOI :
10.1109/ICCCAS.2008.4657967
