Impedance control makes the manipulator compliant by regulating the dynamic behavior between the environment and itself. As contact-based applications become more complex, variable impedance control has attracted more attention. However, variable impedance control can cause instability when directly switching impedance parameters, which is a conflict between maintaining the passivity and varying impedance parameters. To solve this conflict, a novel passivity-constrained variable impedance controller for hydraulic manipulators is proposed within the framework of model predictive control. With the impedance relationship and the manipulator dynamics integrated into a prediction model, the proposed strategy utilizes the passivity constraint and the impedance error cost to achieve an optimized tradeoff between passivity guarantee and impedance variation. Furthermore, the inner-loop motion of the hydraulic manipulator is controlled by the hierarchical decoupling controller with the manipulator dynamics and the nonlinearity of the valve-controlled cylinder system considered. The effectiveness of this method was verified by experiments on a heavy-duty hydraulic manipulator. Compared with the traditional method, the proposed method can improve the passivity while ensuring the timely modulation of impedance parameters.
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