Relaxed Stabilization Conditions for Switching T-s Fuzzy Systems with Practical Constraints

Stability issues in Takagi-Sugeno (T-S) fuzzy control system have been widely investigated using the Lyapunov theorem. With respect to stability analysis, the groupfired rules and the maximal width of state steps are applied to deriving a more relaxed stability criterion for T-S fuzzy discrete models. For the stabilization problem, however, the controller synthesis and the analysis of the maximal width of state steps cannot be performed simultaneously. Evolutionary algorithms or the iterative linear matrix inequality (ILMI) methods can be employed to solve this problem, but the computational demand is high. In this study, the practical constraints of a control system are adopted in place of the iterative procedures of the ILMI method. The method reduces the computational burden of the previous stabilization design. Finally, two simulation results are carried out to demonstrate the effectiveness of the proposed controller design method.