Abstract

Gravity and flexibility will cause fluctuations of the rotation angle in the servo system for flexible manipulators. The fluctuation will seriously affect the motion accuracy of end-effectors. Therefore, this paper adopts a control method combining the RBF (Radial Basis Function) neural network and pole placement strategy to suppress the rotation angle fluctuations. The RBF neural network is used to identify uncertain items caused by the manipulator’s flexibility and the time-varying characteristics of dynamic parameters. Besides, the pole placement strategy is used to optimize the PD (Proportional Differential) controller’s parameters to improve the response speed and stability. Firstly, a dynamic model of flexible manipulators considering gravity is established based on the assumed mode method and Lagrange’s principle. Then, the system’s control characteristics are analyzed, and the pole placement strategy optimizes the parameters of the PD controllers. Next, the control method based on the RBF neural network is proposed, and the Lyapunov stability theory demonstrates stability. Finally, numerical analysis and control experiments prove the effectiveness of the control method proposed in this paper. The means and standard deviations of rotation angle error are reduced by the control method. The results show that the control method can effectively reduce the rotation angle error and improve motion accuracy.

Highlights

  • Accepted: 5 April 2021Flexible manipulators are complex systems with multiple inputs and multiple outputs

  • The control method combining the pole placement strategy and the RBF neural network is applied to reduce the fluctuation of the rotation angle of flexible manipulators

  • The RBF neural network is used to distinguish the uncertain items of the system

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Summary

Introduction

Flexible manipulators are complex systems with multiple inputs and multiple outputs. They are widely used in in-depth space exploration, industrial assembly, and other fields [1,2]. If the gravity factor is considered in flexible manipulators’ dynamic modeling processes, the nonlinear factor is introduced again This further increases the difficulty of the servo system controller design. In literature [18], internal control loops with nonlinear terms are added to compensate for the influence of gravity factors on rigid manipulators. Literature [19,20] uses the neural network to identify the uncertain items in the dynamic system of flexible-joint manipulators, improving the control precision. The RBF neural network is used to identify the uncertain items of the servo system for flexible manipulators. The rest of the paper is organized as follows: Section 2 establishes the dynamic equation of the servo drive system for flexible manipulators with gravity found using the AMM and Lagrange’s principle.

Dynamic Modeling of the Flexible Manipulator Servo System
Description of Flexible Load-Deformation
Modeling of the Flexible Manipulator Servo System
Modeling of Flexible Manipulator Servo System Considering the Gravity
Transfer Function of the Servo System
Design of the PD Controller Based on Pole Placement Strategy
Control Method of Flexible Manipulators Based on RBF Neural Network
Internal Control Loop with Nonlinear Compensation Term
Control Law Considering the Uncertain Items
RBF Neural Network to Identify the Uncertain Items of the Model
Proof of Stability
Numerical Simulation Analysis and Experiment
The influence of Physical Parameters of the Manipulator
The Influence of Coefficients of the Pole on the Rotation Angle
Control Method Based on the Combination of RBF Neural Network and Pole
Experiment
Findings
Conclusions

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