Robust control of uncertain time delay system: a novel sliding mode control design via LMI

Qu Shaocheng1 & Wang Yongji2

1. Dept. of Information and Technology, Huazhong Normal Univ. , Wuhan 430079,P. R. China;

2. Dept of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, P. R China

Abstract:

The sliding mode control problem (SMC) is studied for a class of uncertain delay system in the presence

of both parameter uncertainties and external disturbances. A novel virtual feedback control method is presented.

Based on Lyapunov theory, sufficient conditions for design of the robust sliding mode plane are derived. Sliding

mode controller based on reaching law concept is developed, which is to ensure system trajectories from any initial

conditions asymptotically convergent to sliding mode plane. The global asymptotically stability of the closed-loop

system is guaranteed A numerical example with simulation results is given to illustrate the effectiveness of the

methodology.

Key words:

time-delay systems, sliding mode control, robust control, LMI

. [J]. Journal of Systems Engineering and Electronics, 2006, 17(3): 524-528.

Qu Shaocheng & Wang Yongji.

Robust control of uncertain time delay system: a novel sliding mode control design via LMI

[J]. Journal of Systems Engineering and Electronics, 2006, 17(3): 524-528.

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