Robust state feedback H¥ control for discrete-time fuzzy system with random delays

[+] Author and Article Information
Sakthivel Rathinasamy

Department of Mathematics Sungkyunkwan University Suwon 440-746, South Korea

Arunkumar A.

Department of Mathematics Anna University Regional Campus Coimbatore - 641 046, India

Mathiyalagan Kalidass

Department of Mathematics Anna University Regional Campus Coimbatore - 641 046, India

Ju H. Park

Department of Electrical Engineering Yeungnam University Kyongsan 712-749, Republic of Korea

1Corresponding author.

ASME doi:10.1115/1.4036237 History: Received October 28, 2013; Revised March 10, 2017


This paper investigates the problem of robust stabilization for a class of discrete-time TS fuzzy systems via input random delays in control input. The main objective of this paper is to design a state feedback H¥ controller. Linear matrix inequality approach together with the construction of proper Lyapunov-Krasovskii functional is employed for obtaining delay dependent sufficient conditions for the existence of robust H¥ controller. In particular, the effect of both variation range and distribution probability of the time delay are taken into account in the control input. The key feature of the proposed results in this paper is that the time-varying delay in the control input not only dependent on the bound but also the distribution probability of the time delay. The obtained results are formulated in terms of linear matrix inequalities (LMIs) which can be easily solved by using the standard optimization algorithms. Finally, a numerical example with simulation result is provided to illustrate the effectiveness of the obtained control law and less conservativeness of the proposed result.

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