Proportional Derivative control of Hysteretic systems

We discuss a controller strategy for hysteretic systems, including magnetic and smart actuators, by using two output feedbacks. We show that a proportional--derivative (PD) controller derived from two feedback signals is sufficient to achieve tracking control. We further discuss regularity, well-posedness, and stability of such controllers. Most controllers use inverse compensators to cancel out actuator hysteresis nonlinearity. We show that we can achieve uniform ultimate bounded control without an explicit inverse computation (using least squares minimization or otherwise).