¹Department of Electrical Engineering and Electronics, Aoyama Gakuin University, Kanagawa, Japan

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Abstract— This paper is concerned with H sampled-data control for uncertain fuzzy systems. A new approach to sampled-data control is introduced. The system is modelled as a continuous-time fuzzy system, while in practice, the control input has a piecewise-continuous delay. Sufficient conditions for the closed-loop system with a sampled-data state feedback controller to achieve a prescribed H disturbance attenuation level are given in terms of linear matrix inequalities(LMIs). We derive such conditions via descriptor approach to fuzzy time-delay systems under the assumption that sampling-time is not greater than some prescribed number. As such a prescribed number goes to zero, our conditions coincide with sufficient ones for continuous-time H state feedback control for fuzzy systems. We also propose a design method of sampled-data state feedback controller for uncertain fuzzy systems. Numerical examples are given to illustrate our sampled-data state feedback control.

Index Terms—Takagi-Sugeno fuzzy systems, sampled-data control, time-delay systems, uncertain systems, linear matrix inequality

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Cite: Jun Yoneyama, "H Sample-Data Control of Fuzzy Systems with Input Delay," Journal of Computers vol. 3, no. 11, pp. 25-31, 2008.