Stability analysis and design of fuzzy control systems based on interval approach

Based on the equivalent representation of interval matrix, the stability problem of fuzzy control system is converted into the robust stability problem of linear system with time-varying uncertainty. A necessary and sufficient condition for the quadratic stability of T-S fuzzy system is given, then, the controller design procedure is shown. In the case that the input matrices are identical, a necessary and sufficient condition for the quadratic stabilizability of the system is obtained, the fuzzy controller can be constructed directly. Simulation result shows the effectiveness and advantage of the proposed method.