Adaptive fuzzy H∞ control for a class of nonlinear systems with sliding performance

A robust indirect adaptive fuzzy H_∞ control strategy on the basis of fuzzy basis functions is developed for the SISO system by using linear matrix inequality technique. Meanwhile, the variable structure system (VSS) control scheme has also been adopted in the design. A robust variable structure control compensator is derived to alleviate the effect of plant uncertainties. It can be shown that the effect of the external disturbance on the tracking error can be attenuated to prescribed level and then the tracking control performance is achieved. Theory and simulation have proved that the algorithm of on-line self-adjusting by means of altering the fuzzy rules basis made the control system stable globally and then the tracking control has been achieved.