Smooth Parametric Hysteresis Operator for Control

On hysteresis and air gap disturbance in current and voltage mode feed-forward control of variable reluctance actuators

“…the direct hysteresis operator, can be constructed using the Lambert W function. For the definition of the direct hysteresis operator and more properties of the inverse operator, the reader is refereed to [20].…”

“…The equation (20) shows that the error due to hysteresis is scaled with lm 2g which depends on the actuator structure, and S H which depends on the amplitude of the desired field signal.…”

“…For the purpose of hysteresis compensation in the variable reluctance actuators, a parametric direct and inverse hysteresis operator pair is used in this paper. This operator is formally defined and analyzed in [20], whereas the identification procedure and hysteresis compensation results for currentmode variable reluctance actuator are given in [21], where an order of magnitude improved compensation compared to the best single-valued compensation was experimentally verified. This operator will be used in the analysis present in this paper, since it can be mathematically manipulated, is directly implementable in a digital controller, and gives a very good approximation of hysteretic effects for synthesis of control laws for variable reluctance actuators.…”

“…The effects of these disturbances on the force error are quantified for currentmode and voltage-mode feed-forward control of reluctance actuators, and it is shown that voltage-mode control has fundamental advantages. A parametric hysteresis inverse [20], which was used to invert hysteresis in current-mode operated reluctance force actuators [21], is used for the analysis and synthesis of the voltage-mode hysteresis compensation law. Simulation results are demonstrated on a high-fidelity actuator model which is derived from fundamental physical laws and magnetization laws of materials.…”

Hysteresis Compensation Control for a Current-Driven Reluctance Actuator Using the Adaptive MNN

“…When the force predictability specification become very strict, the current-air gap-force is no longer a single-valued function, hysteresis in soft ferromagnetic materials becomes dominant. So the hysteresis has to be modeled and compensated to obtain a predictable force to meet required position accuracy in nanometer range [4]. Many researchers have developed a variety of models and compensate algorithms.…”