A Multilevel Fuzzy Control Design for a Class of Multiinput Single-Output Systems

In this paper, an adaptive fuzzy controller is developed for a class of multiinput single-output nonlinear systems, where the system differential output has a monotonically increasing or decreasing relationship with each system differential input. The system dynamics is modeled in fuzzy domain, and the fuzzy inverse model is automatically constructed, which uniquely determines the inverse relationship for each differential input-output pair. Based on this inverse model, a multilevel fuzzy controller is designed with an embedded adaptive structure for each control variable to compensate for system uncertainties and time-varying parameters. Two sets of simulation examples are presented to illustrate the effectiveness of the proposed controller for this class of multivariable systems under different operating conditions.