Abstract

This paper represents 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 proposed control system so that the stability of the system can be guaranteed. The simulation results of 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 structured organizing single‐input CMAC (SOSICM) control system is proposed to control the joint position of a two‐link robot manipulator

  • In the SOSICM system, system dynamics is completely unknown and auxiliary compensated control is not required in the control process

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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. Chen proposed self‐organizing control system [25] This control system does not require prior knowledge amount of memory space, the layers of CMAC will grow or prune systematically. We suggest a novel self‐structured organizing single‐input CMAC (SOSICM) control system for an n‐link 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
Output space O
Self‐Structured Organizing S‐CMAC
On‐line learning algorithm
The updating law for the kth weight memory can be derived according to wki wi
Convergence Analysis
Simulation Results
Conclusion
Full Text
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