On the contact dynamics and adaptive fuzzy sliding mode impedance control for 4-PS parallel mechanism with model uncertainties and external disturbances

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The 4-PS parallel mechanism, with four kinematic chains, excels in heavy-load, large-stroke, and high-dynamic-response scenarios. However, when operating in complex dynamic environments with external disturbances and contact interactions, the 4-PS parallel mechanism exhibits significant degradation in pose tracking accuracy and contact force regulation. To address these challenges, this paper addresses two critical issues concerning the mechanism: contact dynamics and control under model uncertainties and external disturbances. First, a comprehensive dynamic model incorporating parametric model uncertainties and external disturbances is constructed for the 4-PS parallel mechanism, alongside its environmental contact model. Second, to compensate for model uncertainties and external disturbances, a fuzzy approximation system is employed to estimate sliding mode switching functions, augmented by an adaptive strategy to eliminate approximation residuals, thereby ensuring highly accurate pose tracking. Simultaneously, a fuzzy impedance controller is designed with force error and its rate as inputs to dynamically adjust damping and stiffness coefficients, achieving high-precision force tracking. Finally, simulations in a coal mine temporary support scenario demonstrate that the proposed adaptive fuzzy sliding mode impedance control strategy enables the mechanism to converge rapidly and accurately to the desired states, validating its effectiveness and reliability in simultaneous pose and force tracking for the 4-PS parallel mechanism.

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