Stabilization Conditions for Continuous T-S Fuzzy Systems with Time-Delays

In this paper, stabilization problems for a particular class of non linear continuous model with time-delays in the form of Takagi-Sugeno(TS) are investigated. The considered models are of multiple time-delays in state. Some new sufficient conditions for stability and stabilizability are given. They are based on some PDC control laws and some matrix translation properties. First of all, we derive stability conditions of unforced and forced system of considering model, respectively. We then discuss stabilization problem with two cases: (i) unknown delays and (ii) known delays, and give stabilization conditions via LMI. All given conditions are in the form of LMI´s and it´s easy to be checked by means of MATLAB. Finally, two examples are worked out to illustrate the theory.