Adaptive coupled double-pendulum overhead crane control strategy with enhanced attitude suppression under initial input constraints

Abstract

During the actual transportation process, overhead cranes are always affected by the double-pendulum effect, resulting in excessive swinging angles that affect the control performance of the anti-swing system. Moreover, the viscous resistance, air resistance, and swing angle suppression force encountered during transportation have uncertainties and cannot be accurately fed back to the controller’s input, resulting in poor swing angle suppression capability. In order to suppress the undesired swinging of the hook and load, this paper proposes an adaptive coupling anti-swing control strategy with enhanced swing angle suppression under initial input constraints. Specifically, more system parameters are included in the design of the coupling signal, and a sine term is introduced to adjust the oscillation of the hook and load swing angle. At the same time, a hyperbolic tangent term is introduced to suppress the driving force of the overhead crane to prevent excessive driving force from affecting the control performance. Furthermore, for the problem of uncertain parameters, an adaptive law is used to estimate the uncertain parameters online, ultimately designing an adaptive coupling anti-swing controller with enhanced swing angle suppression under initial input constraints. The asymptotic stability of the equilibrium point of the closed-loop system is proven using the Lyapunov method and LaSalle’s invariance principle. Through extensive experimental simulations, the proposed control strategy demonstrates good control performance.