Title :
H∞ control for discrete-time linear systems with time-varying delays in state
Author :
Kim, Ki Tae ; Cho, Sang Hyun ; Bang, Kyung Ho ; Park, Hong Bae
Author_Institution :
Sch. of Electron. & Electr. Eng., Kyungpook Nat. Univ., Taegu, South Korea
Abstract :
Deals with the H∞ control problems for discrete-time linear systems with time-varying delays in state. The existence condition and the design method of the H∞ state feedback controller are given. The H∞ control law is assumed to be a memoryless state feedback, and the upper-bound of time-varying delay is used. Through some changes of variables and Schur complement, the obtained condition can be rewritten in linear matrix inequality form in terms of all variables
Keywords :
H∞ control; closed loop systems; control system synthesis; delays; discrete time systems; linear systems; matrix algebra; state feedback; time-varying systems; H∞ control; H∞ state feedback controller; Schur complement; design method; discrete-time linear systems; existence condition; linear matrix inequality; memoryless state feedback; time-varying delays; upper-bound; Algorithm design and analysis; Control systems; Delay effects; Delay systems; Design methodology; Electric variables control; Linear systems; State feedback; Symmetric matrices; Time varying systems;
Conference_Titel :
Industrial Electronics Society, 2001. IECON '01. The 27th Annual Conference of the IEEE
Conference_Location :
Denver, CO
Print_ISBN :
0-7803-7108-9
DOI :
10.1109/IECON.2001.976701
