On fuzzy control of nonlinear systems with large parameter uncertainties: fuzzy scheduler approach

This paper presents the design of a fuzzy scheduler which is robust enough to (1) stabilize an uncertain nonlinear system subject to large parameter uncertainties, and (2), give an acceptable closed-loop performance. Based on a fuzzy model with parameter uncertainty information, a stability criterion which involves solving an algebraic Riccati equation (ARE) is derived, and fuzzy controllers corresponding to the vertices of the operation parameter space (vertex fuzzy controllers) are designed. It is shown that the actual control signal can be interpolated by a proposed fuzzy scheduler from the control signals of vertex fuzzy controllers