Adaptive Control of Systems with Actuator and Sensor Nonlinearities
Adaptive Control of Systems with Actuator and Sensor Nonlinearities
An Energy-Based Hysteresis Model for Magnetostrictive Transducers
An Energy-Based Hysteresis Model for Magnetostrictive Transducers
A Nonlinear Physics-Based Optimal Control Method for Magnetostrictive Actuators
A Nonlinear Physics-Based Optimal Control Method for Magnetostrictive Actuators
Technical communique: An integrating linearization method for Hammerstein models
Automatica (Journal of IFAC)
Modeling and H∞ robust control of a smart structure with rate-dependent hysteresis nonlinearity
International Journal of Automation and Computing
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This paper addresses the development of inverse compensation techniques for a class of ferromagnetic transducers including magnetostrictive actuators. If unaccommodated, the hysteresis and nonlinear dynamics can produce severe loss of control authority and potential instabilities when the actuators are incorporated in control design. In this work, hysteresis is modeled through the domain wall theory originally proposed by Jiles and Atherton [1]. This model is based on the quantification of the energy required to translate domain walls pinned at inclusions in the material with the magnetization at a given field level specified through the solution of an ordinary differential equation. A complementary differential equation is then employed to compute the inverse which can be used to compensate for hysteresis and nonlinear dynamics in control design. The performance of the inverse compensator and its employment in LQR control design are illustrated through numerical examples.