Adaptive Identification of System with Bouc-Wen Hysteresis Modifications

Abstract

The adaptive identification method is developed to evaluate the parameters of the Bouc-Wen hysteresis (BWH). The adaptive approach is based on the use of adaptive observer. We synthesize adaptive identification algorithms using the second Lyapunov method. Requirements for the input of the system which guarantee the identification of parameters is considered. We propose BWH modifications (BWHM). Adaptive algorithms for estimating BWHM parameters are developed. The boundedness of adaptive system processes is shown in coordinate and parametric spaces. We prove the exponential dissipativity of processes in an adaptive system by using the Lyapunov vector function method. Estimating method is proposed for signaling uncertainty in the system.