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Global Finite Time Active Disturbance Rejection Control for Parallel Manipulators With Unknown Bounded Uncertainties

Van‐Truong Nguyen, Chyi‐Yeu Lin, Shun‐Feng Su, Wei Sun, Meng Joo Er

2020IEEE Transactions on Systems Man and Cybernetics Systems53 citationsDOI

Abstract

In this article, a global finite-time active disturbance rejection control (ADRC) scheme is proposed for tracking control of redundant parallel manipulators with unknown bounded uncertainties. This approach combines an ADRC and a global finite-time control for high accuracy trajectory tracking control. Based on the nonsingular fast terminal sliding mode control, the proposed approach can remove the condition in the original ADRC that the derivative of the uncertainties is required to be bounded. The extended state observer is employed to handle the real-time estimation of the total uncertainty. It can be found that the proposed scheme not only can converge fast to the semi-global finite-time stable equilibrium but also can have superior tracking control performance. In summary, compared to existing approaches, the proposed scheme can have several advantages, such as uncertainty rejection, easy implementation, robustness, chattering-free, high precision, and no need for prior knowledge of bounded uncertainties. The simulation results validate the effectiveness of the proposed method.

Topics & Concepts

Bounded functionControl theory (sociology)Robustness (evolution)Computer scienceInvertible matrixActive disturbance rejection controlState observerTrajectoryScheme (mathematics)Control (management)MathematicsNonlinear systemArtificial intelligenceMathematical analysisChemistryBiochemistryPhysicsGeneAstronomyPure mathematicsQuantum mechanicsAdaptive Control of Nonlinear SystemsIterative Learning Control SystemsAdvanced Control Systems Optimization