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Piezoelectric actuators (PEAs) are widely used in active vibration control engineering. Dynamic hysteresis nonlinearities existing in the PEAs reduce the control accuracy. Using accelerometers for vibration control makes dynamic hysteresis modeling more challenging. In this study, a Hammerstein dynamic hysteresis model for a PEA is proposed based on the acceleration signal. Then, a hysteresis inverse...
In this paper, a robust repetitive control for time delay systems is investigated supporting high precision tracking of nano-manipulating systems. To handle the time delay of such systems, the repetitive control structure is reformulated and the design of q filter is converted to the mixed sensitivity optimization of infinite dimensional systems, where Skew-Toeplitz based approach is used for controller...
A two-stage decoupling identification method is developed for Hammerstein system containing the threshold-discrete Prandtl-Ishlinskii (TDPI) operator with non-local memories. In the first stage, a persistently exciting input is designed so that the linear subsystem can be made decoupled from the nonlinear element and linear subsystem identification is coped with using a least squares estimator. Then,...
Hysteresis nonlinearity, which is an inherent characteristic of piezoelectric actuators (PEAs), decreases the tracking precision and may even result in limit cycle oscillations. A tracking control based on H∞ robust disturbance observer (DOB) is presented for PEAs in this paper. Hammerstein system is applied to modeling dynamic hysteresis nonlinearity of PEA. Then, a control scheme that combines H...
Piezoelectric actuator has been frequently utilized in the micromanipulation control. However, the rate-dependent hysteresis properties in the actuator affect severely the high precision tracking control. In this study, a Hammerstein-based model with Bouc-Wen hysteresis nonlinearity is proposed to describe the dynamic characteristics of rate-dependent hysteresis in a piezoelectric actuator. The Bouc-Wen...
Most smart materials used in engineering applications have rate-dependent hysteresis nonlinearity. In this paper, a Hammerstein-based model is proposed to describe the dynamic characteristics of rate-dependent hysteresis in piezoelectric actuator. A Bouc-Wen model is used to approximate the static nonlinear characteristic while a linear dynamic model is constructed to capture the rate-dependent property...
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