An H∞ approach to adaptive controller of T-S fuzzy model

In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model is considered in the context of control system design. As a result, an H_∞ approach to adaptive controller that consists of two parts: one is obtained by solving certain linear matrix inequalities (LMIs) (fixed part) and another one is acquired by the fuzzy approximator in which the related parameters are tuned by adaptive law (variable part), is proposed. The proposed controller can guarantee the control state to converge and uniformly bounded while maintaining all the signals involved stable.