Delay-Dependent Linear Quadratic Control Design for Stabilizability of Fuzzy Systems With Multiple Non-Commensurate Time Delays via LMI
نویسنده
چکیده
In this paper, the T-S fuzzy model approach is extended to design a fuzzy state feedback controller for the stabilizability of a fuzzy system with multiple non-commensurate time delays. Based on Riccati-type inequalities and delay-dependent Lyapunov functional approach, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole fuzzy time-delay system asymptotically. These design approaches are dependent on time delays. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMI’s.A practical example based on the CSTR (continuous stirred tank reactor) model is given to illustrate the control design and its effectiveness.
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