Title :
H∞ controller design for discrete-time linear systems with time-varying delays in state
Author :
Kim, Ki Tae ; Cho, Sang Hyun ; Kim, Joon Ki ; Park, Hong Bae
Author_Institution :
Sch. of Electron. and Electr. Eng., Kyungpook Nat. Univ., Taegu, South Korea
Abstract :
This paper deals with the H∞ controller design 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. In this paper, 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, Schur complement, and S -procedure, the obtained condition can be rewritten as an LMI (linear matrix inequalities) form in terms of all variables
Keywords :
H∞ control; control system synthesis; delays; discrete time systems; linear systems; matrix algebra; time-varying systems; H∞ controller design; H∞ state feedback controller; LMI; S -procedure; Schur complement; discrete-time linear systems; linear matrix inequalities; memoryless state feedback; time-varying delay upper-bound; time-varying state delays; Closed loop systems; Control systems; Delay systems; Equations; Linear feedback control systems; Linear systems; State feedback; Sufficient conditions; Time varying systems; Upper bound;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981096
