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International Standard Serial Number:
ISSN 1001-4551
Sponsor:
Zhejiang University;
Zhejiang Machinery and Electrical Group
Edited by:
Editorial of Journal of Mechanical & Electrical Engineering
Chief Editor:
ZHAO Qun
Vice Chief Editor:
TANG ren-zhong,
LUO Xiang-yang
Tel:
86-571-87041360,87239525
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86-571-87239571
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No.9 Gaoguannong,Daxue Road,Hangzhou,China
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meem_contribute@163.com
Abstract: The complex coupling nonlinearity, model uncertainty, and external load uncertainty of the electro-hydraulic servo system of medium and large excavators resulted in large trajectory tracking errors and poor dynamic performance of the system. A backstepping controller based on interconnection and damping assignment (IDA) framework was proposed to improve the tracking performance and robustness of excavator working devices in mining tasks. Firstly, a state space model of the electro-hydraulic servo system was constructed using pilot valve, valve controlled asymmetric cylinder, and valve controlled asymmetric cylinder models. Furthermore, based on Hamiltonian theory, the state space model was constructed as a third order open-loop port Hamiltonian (pH) system with disturbances. Based on the interconnection matrix and damping matrix structure obtained from the pH system, the virtual control signal was gradually designed and the control law was ultimately obtained. Then, a matching equation was constructed to simplify the design and calculation process on other systems, and the expected energy function was used as a candidate Lyapunov function. Based on the Lyapunov stability theorem, the convergence and stability of the closed-loop system at the expected trajectory were proved. Finally, the trajectory tracking performance of the proposed control algorithm was verified through numerical simulation experiments on the excavator bucket and its electro-hydraulic servo system. The research results show that, without considering model uncertainty, the proposed controller improves convergence speed in position control by 1.9% to 6.3% compared to the other three controllers; maintaining excellent convergence speed in trajectory tracking while reducing maximum tracking error by 70% to 81%. In the case of model uncertainty and time-varying loads, the maximum tracking error in the face of impact only increases by 0.004 m, and the required control input for adjustment is reduced by 4% to 20%. The above results indicate that the proposed control algorithm has better comprehensive tracking performance and robustness.
Key words: excavator; electro-hydraulic servo system; bucket system; lead system model; valve controlled asymmetric cylinder model; interconnection and damping assignment passivity-based control(IDA-PBC); backstepping controller