A discrete adaptive controller for a class of T-S fuzzy models

In order to deal with the modelling error between the system to be controlled and its T-S fuzzy model, this paper proposes a discrete-time adaptive controller. The controller consists of two parts: one is obtained by solving certain LMIs (fixed part) and the other is acquired using a fuzzy approximator in which related parameters are tuned by adaptive law (variable part). The proposed controller can guarantee the closed-loop control system uniformly asymptotically stable. Also, computer simulations are provided to illustrate the effectiveness of the proposed controller.

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