Fuzzy indirect adaptive output tracking control of nonlinear systems.

*(English)*Zbl 0988.93051The paper is concerned with the design of a fuzzy controller for a single input single output system described in the following form

$${x}^{\left(n\right)}=g(x,{x}^{\text{'}},\cdots ,{x}^{(n-1)})u\phantom{\rule{2.em}{0ex}}y=x\xb7$$

The fuzzy controller is realized using a center-of-average defuzzifier, product-based inference and can be represented as $y\left(x\right)={p}^{T}v\left(x\right)$ with $p$ being a vector of parameters and $v\left(x\right)$ resulting from the fuzzy basis functions used in the antecedent part of the fuzzy controller. As the system is unknown, the authors propose a control $u={u}_{1}+{u}_{2}$ with ${u}_{1}$ being the output of the equivalence controller and ${u}_{2}$ standing for the robust compensator. The design of the controller is discussed and its tracking performance analyzed.

Reviewer: Witold Pedrycz (Edmonton)