Adaptive finite-time hybrid tension-velocity control of uncertain multi-section web machines with uniform ultimate...

Multi-section web machines are widely employed in manufacturing environments that are subjected to complex external disturbances. In addition, other adverse factors such as parametric uncertainties and measurement noises also significantly degrade the operating performance of multi-section web machines, raising the challenges in control design. In the paper, an adaptive finite-time hybrid tension-velocity control approach for multi-section web machines is evolved to ensure the operating performance against parametric uncertainties, external disturbances, and measurement noises. First of all, a filter-based extended state observer is proposed to simultaneously estimate uncertainties and disturbances while mitigating the effects of measurement noises on the feedback states. The proposed observer not only improves estimation performance but also achieves practical finite-time stability. Leveraging the critical information from the observer, a dynamic surface control is developed by combining the backstepping technique with a proposed nonlinear low-pass filter to guarantee the high-precision performance of multi-section web machines after a finite-time interval. By integrating an adaptive mechanism into the control framework, the proposed method can eliminate the requirement for knowledge of moments of inertia. Rigorous analysis based on Lyapunov theory confirms that both the proposed observer and the closed-loop systems are uniformly ultimately bounded stable within the explicit settling times. Finally, the effectiveness of our approach is validated through several comparative simulation scenarios against other state-of-the-art methods.