A synthesis theorem: adaptive output tracking control for a class of composite systems

In this paper the output-tracking problem of a class of composite nonlinear systems is studied. Composite system can be represented solely by models on the grounds of its inputs and measurable outputs. It is assumed that the plant system belongs to a class of composite nonlinear systems, and that the fuzzy logic control system applied can efficiently use adjustable parameters to approximate its nonlinear system function. The new theorem guarantees the synthesized indirect fuzzy adaptive control does ensure stable output tracking and possesses the ability to reduce the number of fuzzy rules.