Abstract:
In this paper, we derive a finite-time positioning controller for an ultrasonic motor based on homogeneous control Lyapunov functions and stochastic stability analysis. I...Show MoreMetadata
Abstract:
In this paper, we derive a finite-time positioning controller for an ultrasonic motor based on homogeneous control Lyapunov functions and stochastic stability analysis. In theory, finite-time stabilizers are useful for accelerating a settling time neighborhood of a target position. However, in practical experiments, the stabilizers cause chattering-like phenomena around the target position. In this paper, we treat the chattering-like phenomena as Gaussian white noises appearing around the target position in order to construct a new compensator for them by using stochastic stability analysis. In the procedure for achieving practical experiments, we construct a state-space model for an ultrasonic motor control system by analyzing step responses, design a homogeneous finite-time controller, and propose a compensator of the chattering-like phenomena caused by the controller. Then, we confirm the availability of the compensator via the investigation of the simulation and experimental results.
Date of Conference: 23-26 October 2016
Date Added to IEEE Xplore: 22 December 2016
ISBN Information: