Robust stabilization of uncertain fuzzy systems under sampled-data control

This paper is concerned with robust sampled-data stabilization for uncertain fuzzy systems. A new approach to robust sampled-data control is introduced. A practical system is usually modelled as a continuous-time fuzzy system, while the control input has a piecewise-continuous delay. Sufficient robust stability conditions for the closed-loop system with a sampled-data state feedback controller are given in terms of linear matrix inequalities(LMIs). We derive such robust stability conditions via descriptor approach to fuzzy time-delay systems under the assumption that sampling interval may vary but is not greater than some prescribed bounded number. As such a prescribed number goes to zero, our robust stability conditions become sufficient robust stability conditions for continuous-time state feedback stabilization for fuzzy systems. We also propose a design method of robust sampled-data state feedback controller for uncertain fuzzy systems. A numerical example is given to illustrate our sampled-data state feedback control.