Adaptive control of Hammerstein–Wiener nonlinear systems

Bi Zhang, Hyokchan Hong and Zhizhong Mao

International Journal of Systems Science, 2016, vol. 47, issue 9, 2032-2047

Abstract: The Hammerstein–Wiener model is a block-oriented model, having a linear dynamic block sandwiched by two static nonlinear blocks. This note develops an adaptive controller for a special form of Hammerstein–Wiener nonlinear systems which are parameterized by the key-term separation principle. The adaptive control law and recursive parameter estimation are updated by the use of internal variable estimations. By modeling the errors due to the estimation of internal variables, we establish convergence and stability properties. Theoretical results show that parameter estimation convergence and closed-loop system stability can be guaranteed under sufficient condition. From a qualitative analysis of the sufficient condition, we introduce an adaptive weighted factor to improve the performance of the adaptive controller. Numerical examples are given to confirm the results in this paper.

Date: 2016
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DOI: 10.1080/00207721.2014.971089

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