Sampled-Data Stabilization for Fuzzy Systems with Multiple Time-Delays

概要

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In many practical situations, the system is modeled as a continuous-time fuzzy system, while the control input is the zero-order hold, which can be represented as a piecewise-continuous delay. Such a system is called a sampled-data system. In this paper, we consider sampled-data stabilization for fuzzy systems with multiple time-delays is discussed. We take an input delay system approach to the sampled-data control problem. The closed-loop system with the zero-order state feedback controller becomes a system with multiple time-varying delays. First, stability conditions for the closed-loop system are given in terms of linear matrix inequalities(LMIs). Such conditions are derived by using Leibniz-Newton formula and free weighting matrix method for fuzzy time-delay systems under the assumption of time-varying sampling.Then, a design method of sampled-data stabilizing controller for fuzzy time-delay systems is proposed. Numerical examples are given to illustrate our sampled-data control design.
日本知能情報ファジィ学会の論文