Sensitivity stabilization for a class of fuzzy systems

We examine the problem of stabilizing the sensitivity of a model based system that is controlled via fuzzy logic and fuzzy sets. A general state space nonlinear system model is considered with possibly multiple regimes of operation so that a linearized model would suffice at each regime, thus giving rise to class of Takagi-Sugeno (TS) fuzzy system. The system is parameterized via its membership function description. The parameters that characterize the membership functions of the system´s states basically accentuate the essential fuzziness in the system by specifying for instance, the spread and location of a membership function in the universe of discourse. While stability analysis of fuzzy control systems is important and even necessary, particularly for a model based fuzzy control system, the problem of sensitivity analysis is equally important, even when not discussed, as usual, in the framework of robust stability. Furthermore, sensitivity stabilization is important in its own right