Sample-data stabilization of fuzzy systems with input delay
Jun Yoneyama · 2007
This paper is concerned with sampled-data stabilization for fuzzy systems. A new approach to sampled-data control is introduced. The system is modelled as a continuous-time fuzzy system, while the control input has a piecewise-conthmous delay. Sufficient stability conditions for the closed-loop system with a sampled- data state feedback controller are given in terms of linear matrix inequalities(LMls). We derive such stability 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 stability conditions coincide with sufficient stability conditions for continuous- time state feedback stabilization for fuzzy systems. We also propose a design method of sampled-data state feedback controller for fuzzy systems. A numerical example is given to illustrate our sampled-data state feedback control.