Abstract

In this article, a fast terminal sliding mode control technique is used for robust tracking control of a nonlinear uncertain mass–spring system in the existence of external perturbation. This system is considered as a benchmark problem in the flexible joint mechanisms. The joints flexibility in the robotic systems creates one of the most significant sources of parametric uncertainties. The theory of Lyapunov stability is used for the formulation of the proposed control method, and the presence of the sliding around the switching surface is satisfied in the finite time. Simulation results as well as the experimental verifications prove the efficiency and applicability of the suggested approach in the presence of parametric uncertainty, noise, and exterior disturbance.

Highlights

  • The position control of the nonlinear second-order systems is one of the principal issues in the fields of control engineering, mechanics, and robotics.[1,2,3] Modeling of various industrial systems leads to second-order nonlinear equations

  • The Fast Terminal Sliding Mode Control (FTSMC) and PID controllers are applied to position control of the mass on the reference trajectory as xðtÞ 1⁄4 0:02sin t

  • The fast terminal sliding mode control (SMC) approach was investigated for robust tracking control problem of an uncertain nonlinear mass–spring system with parametric uncertainty, noise, and external disturbance

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Summary

Introduction

The position control of the nonlinear second-order systems is one of the principal issues in the fields of control engineering, mechanics, and robotics.[1,2,3] Modeling of various industrial systems leads to second-order nonlinear equations. Keywords Nonlinear mass–spring system, fast terminal sliding mode, Lyapunov theory, finite time convergence, uncertainties In Mamani et al.’s study,[48] the SMC scheme is employed for the robust position tracking control of a light single-link flexible robotic arm without considering the bounding limits on parametric uncertainties.

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