Title :
Linear quadratic regulators for time-delay systems with an extended cost
Author :
Han, Soo Hee ; Kwon, Wook Hyun
Author_Institution :
Sch. of Electr. Eng., Seoul Nat. Univ., South Korea
Abstract :
A new cost function based on a functional space norm is proposed for systems with time delay. This cost function considers the Euclidean norm for a current state and the L2 norm for a delayed state with a finite horizon. The solution of the finite horizon linear quadratic regulator (LQR) problem with the proposed cost function is derived. It is also shown that, under certain conditions, the finite horizon LQR can be extended to the infinite horizon case and stability in this case can be guaranteed
Keywords :
delay systems; linear quadratic control; stability criteria; Euclidean norm; LQ control; Linear quadratic regulators; cost function; delayed state with a finite horizon; extended cost; finite horizon LQR; functional space norm; stability; time-delay systems; Biological system modeling; Control systems; Cost function; Delay effects; Delay systems; Environmental factors; Infinite horizon; Optimal control; Regulators; Robust stability;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946311
