Adaptive hysteresis model for model reference control with actuator hysteresis

When working with active materials which exhibit profound hysteresis, such as shape memory alloys, the "perfect" mathematical representation of the hysteresis does not exist. However, we can represent many hysteretic trends by means of operator models that vary in their theoretical, physical, and computational complexity, depending on how precisely they model the hysteresis. In previous studies by the authors, generalized Preisach representations of the hysteresis phenomena by use of Krasnosel'skii and Pokrovskii (KP) operators have been represented in linear parametric form. This parameterized KP model has been successfully implemented with a gradient-adaptive law for on-line identification and adaptive compensation when the hysteresis output can be measured. The applicability of the parameterized KP model is extended to model reference control systems with hysteresis actuators whose output cannot be measured.

Adaptive hysteresis model for model reference control with actuator hysteresis Academic Article