Abstract
This research work is focused on the nonlinear modeling and control of a hydrostatic thrust bearing. In the proposed work, a mathematical model is formulated for a hydrostatic thrust bearing system that includes the effects of uncertainties, unmodelled dynamics, and nonlinearities. Depending on the type of inputs, the mathematical model is divided into three subsystems. Each subsystem has the same output, i.e., fluid film thickness with different types of input, i.e., viscosity, supply pressure, and recess pressure. An extended state observer is proposed to estimate the unavailable states. A backstepping control technique is presented to achieve the desired tracking performance and stabilize the closed-loop dynamics. The proposed control technique is based on the Lyapunov stability theorem. Moreover, particle swarm optimization is used to search for the best tuning parameters for the backstepping controller and extended state observer. The effectiveness of the proposed method is verified using numerical simulations.
Highlights
Enhanced lubrication performance of mechanical bearings ensures high reliability and accuracy of the machining process
Several studies have reported on the improvement of lubrication performance by utilizing the optimization of bearing geometry [1,2,3]
This paper proposes a backstepping combined extended-state observer-based control scheme for active lubrication of hydrostatic bearings
Summary
Enhanced lubrication performance of mechanical bearings ensures high reliability and accuracy of the machining process. Hesselbach [4], Wang [5], and Zhang [6] used magnetorheological fluids (MR fluids) to provide active lubrication in hydrostatic bearings by utilizing an external magnetic field This field changes the viscosity of magnetorheological fluids to maintain a constant fluid film gap by varying the load. Proposed an active aerostatic thrust bearing, where high-speed pneumatic valves are used to control recess pressure and adjust fluid film thickness. This paper proposes a backstepping combined extended-state observer-based control scheme for active lubrication of hydrostatic bearings. The combined extended-state-observer-based backstepping controller is an adaptive type compared to the previously reported method of [23]. The rest of the paper is organized as follows: Section 2 formulates the mathematical models for hydrostatic thrust bearings, Section 3 designs an extended-state-observer-based.
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