Prescribed Performance Control with Sliding-Mode Dynamic Surface for a Glue Pump Motor Based on Extended State Observers

Peiyu Wang,Chengcheng Wang,Liangkuan Zhu,Chunrui Zhang,Kangming Xiao

doi:10.3390/act10110282

Peiyu Wang, Chengcheng Wang + Show 3 more

Open Access

https://doi.org/10.3390/act10110282

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Journal: Actuators	Publication Date: Oct 22, 2021
Citations: 4	License type: CC BY 4.0

Affiliation: Binzhou University, Northeast Forestry University

Abstract

The actuator of a particleboard glue-dosing system, the glue pump motor, is affected by external disturbances and unknown uncertainty. In order to achieve accurate glue-flow tracking, in this paper, a glue pump motor compound control method was designed. First, the prescribed performance control method is used to improve the transient behaviors, and the error of the glue flow tracking is guaranteed to converge to a preset range, as a result of the design of an appropriate performance function. Second, two extended state observers were designed to estimate the state vector and the disturbance, in order to improve the robustness of the controlled system. To further strengthen the steady-state performance of the system, the sliding-mode dynamic surface control method was introduced to compensate for uncertainties and disturbances. Finally, a Lyapunov stability analysis was conducted, in order to prove that all of the signals are bounded in a closed-loop system, and the effectiveness and feasibility of the proposed method were verified through numerical simulation.

Highlights

Particleboard is widely used in the wood industry, due to its highly comprehensive rate of utilization of wood resources, its uniform structure, and its good processing ability
Through the analysis of the previous research results, it can be seen that the prescribed performance control (PPC) method can improve the transient performance of a system; the traditional method usually uses a logarithmic function as the transformation function, and the constraint condition of the performance function for the system is in the form of an inequality, which can lead to highly complex control laws
Motivated by the above discussions and inspired by the extended state observer (ESO) design concept described in [44] and the integration of the prescribed performance output control [31], a compound control method that uses slidingmode dynamic surface control (SMDSC) is proposed for a glue pump motor in the presence of external disturbances and unknown uncertainties, including matched and unmatched uncertainties

Summary

Introduction

Particleboard is widely used in the wood industry, due to its highly comprehensive rate of utilization of wood resources, its uniform structure, and its good processing ability. Reference [31] proposed a PPC method based on a dynamic surface, in order to restrict the position tracking error They designed a V function for the unknown uncertainty using the DSC method. Motivated by the above discussions and inspired by the ESO design concept described in [44] and the integration of the prescribed performance output control [31], a compound control method that uses SMDSC is proposed for a glue pump motor in the presence of external disturbances and unknown uncertainties, including matched and unmatched uncertainties. For |ε| < 1 and any positive integer a, the following inequality holds: lo g

Extend State Observer Design

Design Steps for a Compound Controller

Stability Analyses

Simulation Analysis

Findings

Conclusions