Title :
Sliding mode control for time-delay system using a virtual state
Author :
Song, Young Sam ; Kwon, Sung-Ha ; Park, Seung Kyu ; Oh, Do-Chang ; Jeung, Eun Tae
Author_Institution :
Dept. of Control & Instrum. Eng., Changwon Nat. Univ., South Korea
Abstract :
This paper presents a sliding mode control (SMC) design method for single input linear systems with uncertainties and time delay in the state. We define a sliding surface for the augmented system with a virtual state which is defined from the nominal system. We make a virtual state from LQR (linear quadratic regulator) gain and the states of the nominal system. We construct a controller that combines SMC with LQR controller. The proposed sliding mode controller guarantees the stability of the overall closed-loop system
Keywords :
closed loop systems; control system synthesis; delays; linear quadratic control; stability; variable structure systems; closed-loop system; controller construction; linear quadratic regulator gain; single input linear systems; sliding mode control design; sliding surface; time delay; uncertainties; virtual state; Control systems; Delay effects; Delay systems; Design methodology; Instruments; Optimal control; Robust control; Sliding mode control; State feedback; Uncertainty;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945717