Abstract

This paper presents a self-structured organizing single-input control system based on differentiable cerebellar model articulation controller (CMAC) for an n-link robot manipulator to achieve the high-precision position tracking. In the proposed scheme, the single-input CMAC controller is solely used to control the plant, so the input space dimension of CMAC can be simplified and no conventional controller is needed. The structure of single-input CMAC will also be self-organized; that is, the layers of single-input CMAC will grow or prune systematically and their receptive functions can be automatically adjusted. The online tuning laws of single-input CMAC parameters are derived in gradient-descent learning method and the discrete-type Lyapunov function is applied to determine the learning rates of the proposed control system so that the stability of the system can be guaranteed. The simulation results of three-link De-icing robot manipulator are provided to verify the effectiveness of the proposed control methodology.

Highlights

  • Robotic manipulators have to face various uncertainties in their dynamics, such as friction and external disturbance

  • A three-link De-icing robot manipulator as shown in Figure 1 is utilized in this paper to verify the effectiveness of the proposed control scheme

  • A structured organizing single-input CMAC (SOSICM) control system is proposed to control the joint position of a three-link De-icing robot manipulator

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Summary

Introduction

Robotic manipulators have to face various uncertainties in their dynamics, such as friction and external disturbance. The authors proposed a multilayer hierarchical CMAC model and used Shannon’s entropy measure and golden-section search method to determine the input space quantization Their approach is too complicated and lacks online real-time adaptation ability. We propose a novel self-structured organizing single-input CMAC (SOSICM) control system for three-link De-icing robot manipulator to achieve the high-precision position tracking. This control system combines advantages of S-CMAC and it does not require prior knowledge of a certain amount of memory space, and the self-organizing approach demonstrates the properties of generating and pruning the input layers automatically.

System Description
Brief of the S-CMAC
Self-Structured Organizing S-CMAC
On-Line Learning Algorithm
Convergence Analysis
Simulation Results
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Conclusions
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