Abstract

A new design of a robust impedance controller for constrained robotic manipulators is presented. The main objective is to stabilize asymptotically, in the task space, the robotic manipulator's end ...

Highlights

  • A state/parameter observer and an acceleration estimator are proposed to handle the problems of force estimation, disturbance rejection and acceleration measurement

  • Control of constrained robotic manipulators that are subject to uncertainties is currently considered to be one of the most challenging problems in the field of robotics [1]

  • Based on the lack of results within this framework, the most important contribution of this paper is its proposal of a new design for a Particle Swarm Optimization (PSO)-robust controller of constrained robotic systems with model uncertainties and measurement noise

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Summary

Introduction

Control of constrained robotic manipulators that are subject to uncertainties is currently considered to be one of the most challenging problems in the field of robotics [1]. Uncertainties can include the environment model [2,3,4,5], the robotic model [6] or both [7, 8] To solve such complex problems, there is an increasing requirement for robust asymptotic stability of the nonlinear system, taking account of coupling effects between multiple joints and considering position/force interaction between the manipulator and the constrained environment. The difficult problem of position/force control of constrain‐ ed robotic manipulators was discussed, without consider‐ ing such uncertainties, in several books [9, 10] and survey papers [11,12,13,14,15], in which different solutions are provided. Based on the lack of results within this framework, the most important contribution of this paper is its proposal of a new design for a PSO-robust controller of constrained robotic systems with model uncertainties and measurement noise. The robust asymp‐ totic stability conditions, using the Lyapunov-Hamiltoni‐

Problem Formulation
Angular acceleration estimation
Robust Control-based Lyapunov-Hamiltonian Approach
PSO Controller Design
The robot arm with model uncertainties
The constrained optimization problem via PSO
PSO-robust controller’s simulation results
Figures k and
Conclusion

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