Switching Fuzzy Model-based Control for Dynamical Systems with Input Nonlinearity

Abstract

Fuzzy model-based control mainly deals with dynamical systems which affinely depend on control inputs. In this paper, we propose the switching fuzzy model construction and controller design for dynamical systems which is permitted to have nonlinearity not only in the states, but also in the inputs. By utilizing the dynamic state feedback control approach, we show that we can deal with membership functions which depend on control inputs and that the number of the fuzzy model rules which fire simultaneously can be decreased in comparison with the ordinary switching fuzzy model. We design the switching fuzzy dynamic state feedback controller and derive the controller design conditions based on the switching Lyapunov function in terms of LMIs. A design example illustrates the utility of this approach.