ZHOU Junhong, LIN Guanglong, WU Jianfang, ZHANG Longhao, ZENG Fanjing, WU Ronghua
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A novel nonlinear integral sliding mode control method is developed to resolve the constant speed regulation challenge in closed-circuit hydraulic traction machine systems for power transmission cable deployment equipment. Firstly, a comprehensive mathematical model of the traction machine's constant speed control system is formulated through rigorous dynamic analysis. Moreover, to simplify controller complexity and facilitate engineering implementation, the model's order is systematically reduced following singular perturbation theory principles. Subsequently, a nonlinear integral sliding mode control scheme is developed through the strategic incorporation of nonlinear compensation terms, with its enhanced convergence properties and tracking accuracy being theoretically verified using Lyapunov stability analysis. Additionally, an uncertainty observer is developed to improve system robustness by observing and compensating for multiple uncertainties, including parametric variations and external disturbances. Finally, a high-fidelity multi-physics simulation platform is established using Simscape modeling toolbox for the traction machine's speed control system. Comparative simulations with traditional integral sliding mode control and proportional-integral control are conducted, and the results not only validate the effectiveness of the reduced-order model-based controller design, but also demonstrate that the designed uncertainty observer achieves accurate estimation under both step-type and sinusoidal time-varying loads. The traction machine's speed step response exhibits no overshoot, with a settling time reduced to 1.2 seconds. Under a 100 N·m static load, the speed drop is merely 0.0127 m/s. For a 100sin(πt) N·m dynamic load, the maximum speed steady-state error is 0.012 m/s. Even under the combined operating condition of simultaneous positive/negative parameter perturbations and a 100sin(πt) N·m time-varying load, the maximum speed steady-state error remains as low as 0.016 m/s. Consequently, the constant speed control performance of the traction machine is significantly enhanced by the proposed control method.