Control System based on Affine T-S Fuzzy Model with Uncertainty

Hugang Han · 2020

A class of affine T-S fuzzy models with uncertainty is considered in the paper. It partitions the system state space into two regions where one is away from the origin, which provides an opportunity to use the S-procedure in the corresponding LMIs for controller design. In order to deal with the uncertainty, an observer is proposed, capable of catching the uncertainty's trajectory which, in turn, is used in controller design to counteract the influence from the uncertainty. In addition, adaptive law is introduced in an effort to compensate the difference between the real uncertainty and the estimated trajectory.

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