KEYWORDS: Actuators, Control systems, Feedback control, Mathematical modeling, Sensors, MATLAB, Simulink, Data modeling, Control systems design, Smart materials
This paper presents the classical Preisach modeling of the hysteresis and tracking control of a Thunder actuator system. The numerical expressions of the classical Preisach model were presented in details for different input variations. It was found that the saturation output values in these numerical expressions could be cancelled out. A series of tests were conducted to study the hysteresis properties of the Thunder actuator system. The classical Preisach model was then applied to simulate the static hysteresis behavior of the system. Higher-order hysteresis reversal curves predicted by the classical Preisach model were verified experimentally. The good agreement found between the measured and predicted curves showed that the classical Preisach model is an effective mean for modeling the hysteresis of the Thunder actuator system. Subsequently, the inverse classical Preisach model was established and applied to the real time microposition tracking control of the Thunder actuator system. Real time tracking control was achieved by combining a lead-lag feedback controller and the inverse model. On a moving range of 0-0.1mm, the tracking error with hysteresis compensation was less than 2.5%, compared to an error of up to 10% without hysteresis compensation. Experimental results showed that control accuracy with hysteresis compensation is greatly improved compared to that without hysteresis compensation.
Maintaining surface shape of precision structures such as spacecraft antenna reflectors has been a challenging task. The surface errors are often introduced by thermal distortions due to temperature differences. This paper presents numerical and experimental results of active compensation of thermal deformation of a composite beam using piezoelectric ceramic actuators. To generate thermal distortion to the composite beam, two film heaters are bonded to only one-side of the beam using thermally conductive materials. To correct thermal deformation caused by the film heaters, PZT (Lead Zirconate Titanate), a type of a piezoelectric ceramic material, is used in the form of patches as actuators. These PZT patches are bonded on the other side of the beam. First, finite element analyses are conducted with the consideration of the coupled effects of structural, electric, and thermal fields on the composite beam. These analyses include static coupled field modeling of the beam deformation with PZT actuation, transient modeling of the beam under thermal loading, and static coupled field modeling of the composite beam with thermal distortion and simultaneous PZT actuation to correct this distortion. Then, experiments are conducted to study thermal effect, PZT actuation effect and active thermal distortion compensation using PZT actuators with a Proportional, Integral, and Derivative (PID) feedback controller. FEM and experimental results agree well and demonstrate the proposed method can actively perform structural shape control in the presence of thermal distortion.
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