Abstract:Abstract-In this paper, we study the robustness property of a second-order linear plant controlled by a proportional, integral and derivative (PID) controller with a hysteretic actuator. The hysteretic actuator is modeled by a Duhem model that exhibits clockwise (CW) input-output (I/O) dynamics (such as the Dahl model, LuGre model and Maxwell-Slip model, which describe hysteresis phenomena in mechanical friction). Based on our main result, we provide sufficient conditions on the controller gains that depend on… Show more
“…For example, it has been shown in [19] that the monotonicity constant can be used to design a stabilizing PID controller. Alternatively the dissipativity property (that is related to the counterclockwise or clockwise behavior) can accommodate the design of PID or state feedback controllers as discussed in [15], [20], [21]. Using nonsmooth analysis combined with the classical circle criterion theorem, one can appropriately define a sector bound condition for hysteresis operator and use it in the stability analysis of hysteretic systems [22].…”
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“…For example, it has been shown in [19] that the monotonicity constant can be used to design a stabilizing PID controller. Alternatively the dissipativity property (that is related to the counterclockwise or clockwise behavior) can accommodate the design of PID or state feedback controllers as discussed in [15], [20], [21]. Using nonsmooth analysis combined with the classical circle criterion theorem, one can appropriately define a sector bound condition for hysteresis operator and use it in the stability analysis of hysteretic systems [22].…”
Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.
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