Abstract
The active controlled hydrostatic bearing is becoming more and more popular because of its accuracy, safety, as well as low vibration and noise. In this paper, we present a design approach for a hydrostatic thrust bearing system, where the analytical nonlinear state space equation of the system is established first, and then three kinds of control inputs are investigated and compared to each other. It is found that, by selecting the supply pressure as the control input, we could obtain an affine nonlinear system, which could be linearized by the feedback linearization method, and its robustness could be enhanced by the sliding mode control method. The tracking control law could be easily obtained with the linearized system. The simulation verifies the effectiveness of the nonlinear control law. The proposed nonlinear control model might have a positive effect on the improvement of the machining accuracy, safety, and vibration absorption.
Highlights
The requirements of high accuracy and reliability demand the high lubrication performance of bearing
In order to verify the effectiveness of the proposed models, computer simulations were performed for the hydrostatic thrust bearing system, and the following calculation procedure was carried out: (1) Assume the value of the static external load, w
For other types of hydrostatic bearings, such as journal bearing, close form analytical solutions can be obtained, and the modeling error can be handled through robust control
Summary
The requirements of high accuracy and reliability demand the high lubrication performance of bearing. Many researchers [1,2,3] have focused on the effect of surface texture on the bearing performance. It was found that the lubrication performance of the textured bearing could be improved with appropriate surface texture geometry and texture distribution [3]. Another way for improving the performance of the bearing is to control the bearing. The design of a nonlinear control system for hydrostatic bearings is related to the fields of tribology, dynamics, and control [4]. The pressure distribution and dynamic response of a hydrostatic bearing are essential for achieving trajectory tracking
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