Synthesis of local state feedback for continuous-time recurrent fuzzy systems

A synthesis method for global stabilization of equilibria in continuous-time recurrent fuzzy systems is presented. By exploiting the fact that in recurrent fuzzy systems, the state derivative is an interpolation of gradients at corners of hypersquares in the input state space, our approach is based on directly influencing these gradients such that the controlled system is asymptotically stable. In addition, it is shown that after obtaining a feasible solution, the resulting controller can be optimized towards higher performance. Besides the clarity of the synthesis process, the approach offers the advantage of an interpretation of the resulting controller as static fuzzy system. Thus, the resulting controller can be linguistically interpreted. The synthesis method is illustrated by two examples.