Fuzzy Stabilization of Fuzzy Control Systems

Abstract

This chapter presented a practical approach to stabilize fuzzy systems based on adaptive nonlinear feedback using a fuzzy stabilizer in the feedback loop. For this we needed to identify the nonlinearity range of the system. The fuzzy stabilizer is tuned so that the system nonlinearities lie in a bounded sector as delivered by using the circle criterion theory. Because of circle criterion’s graphical nature; the designer is given a physical feel for the system. The concept has been used to ensure stability of a car-like robot controller. In addition, the idea has been extended to stabilize MIMO systems based on the additively decomposition technique.