Super-twisting disturbance-observer-based nonlinear control of the overhead crane system

• Published in: Nonlinear dynamics Vol. 111; no. 15; pp. 14015 - 14025
• Main Authors: Lei, Meizhen, Wu, Xianqing, Zhang, Yibo, Ke, Liuting
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2023; Springer Nature B.V
• Subjects: Automotive Engineering; Classical Mechanics; Closed loops; Control; Control systems; Control theory; Controllers; Cranes; Damping; Disturbance observers; Dynamical Systems; Engineering; Feedback control; Feedback linearization; Mathematical analysis; Mechanical Engineering; Nonlinear control; Ordinary differential equations; Original Paper; Partial differential equations; Robust control; Sliding mode control; Twisting; Vibration; Disturbance suppression; Vibration control; Overhead crane; Underactuated mechanical systems
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-023-08596-3

In this paper, we consider the application of the disturbance observer technique and interconnection and damping assignment passivity-based control to the disturbance estimation and regulation control of underactuated overhead crane systems. In particular, based on the super-twisting sliding mode control technology, a finite time disturbance estimator is presented, which can identify uncertain disturbances exactly in finite time. Next, we obtain an equivalent system and an auxiliary control input in terms of the partial feedback linearization methodology, and a desired storage function with assigned characteristics is established. On the basis of the matching conditions , we derive the desired storage function by solving two ordinary differential equations, without necessity of solving partial differential equations. Subsequently, a novel disturbance-observer-based nonlinear controller is derived, and rigorous theoretical analysis is given to prove that all of the states of the closed-loop system asymptotically converge to the origin. Experimental tests are carried out to illustrate the disturbance estimation and regulation performance of the presented control law. In addition, to demonstrate the excellent robustness of the presented controller, a comparison study is included as well.