DESIGN OF DELAY DEPENDENT ROBUST CONTROLLER FOR UNCERTAIN SYSTEMS WITH TIME VARYING DELAY
Dong Yue*, Sangchul Won**, Ohmin Kwon**
* College of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China, Email:medongy@163.com
** Steel Processing Automation Research Center (SPARC), Pohang University of Science and Technology, San 31, Hyoja-Dong, Nam-Gu, Pohang 790-784, Korea, Email:won@postech.ac.kr
This paper investigates the controller synthesis problem of uncertain systems with time varying delays. A robust controller with delay compensation is proposed, based on Lyapunov function method. The stability criterion of the closed-loop system, which is dependent on the size of the time delay and the size of its derivative, is derived in the form of linear matrix inequalities (LMI). Examples show that the results using the method in this paper are less conservative than most existing results by other methods.
Keywords: delay, Lyapunov methods, stability, stabilization, uncertainty.
Session slot T-Th-E17: Time Delay II/Area code 2e : Robust Control

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