A Linear Controller for Hysteretic Systems

This note deals with the problem of regulating the displacement and velocity of a mechanical system that includes a Bouc-Wen hysteresis model both of which have uncertain parameters. The dynamic part of the hysteresis is not accessible to measurement and acts as an uncertain dynamic. It is shown that the global boundedness of the control and closed loop signals along with asymptotic regulation can be assured using a simple PID controller.