Proportional Derivative control of Hysteretic systems

Dinesh Ekanayake, Ram Iyer

Research output: Contribution to journalArticlepeer-review


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).
Original languageEnglish
Pages (from-to)3415–-3433
JournalSIAM Journal of Control and Optimization
StatePublished - Oct 2013


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