A numerical investigation of phase and magnitude compensation in adaptive control of uncertain hammerstein systems with hysteretic nonlinearities

Abstract

We apply retrospective cost adaptive control (RCAC) to a command-following problem for uncertain Hammerstein systems with Duhem hysteresis nonlinearities. The only required modeling information of the linear plant is a single Markov parameter. We numerically investigate the sense in which RCAC achieves internal model control. The properties of the asymptotic controller are analyzed by using phase shift calculations.