State-estimator-based robust vibration control of crane bridge system with trolley via PDE model

The main focus of this paper is to cope with the vibration and stabilization problem of crane bridge control systems. For the concern of improving control accuracy, a PDE model is put forward without neglecting the modal information of the system. Besides, dynamic properties of the trolley and transferred payload of the crane are taken into account in the modeling, which accords with the request of application in the practice. Considering the immeasurability of velocity, a speed-estimator-based robust control (SERC) is developed to achieve vibration suppression of the PDE crane bridge with time-varying disturbances. By giving detailed stability analysis as well as numerical simulations, the proposed con-trol strategy is proven to be effective and limits the vibration of the crane bridge within required regions. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper focuses on addressing the vibration and stabilization challenges of crane bridge control systems by proposing a PDE model for improved control accuracy, considering dynamic properties of the system, and developing a robust control strategy for vibration suppression. The proposed control strategy effectively limits the vibration of the crane bridge within required regions, as demonstrated through detailed stability analysis and numerical simulations.