Fast Point-To-Point Transportation of the Portal Crane via Double-Input Inversion-Based Feedforward and Feedback Control
ABSTRACT
This paper describes a double-input double-output inversion-based feedforward control (DIDOIBFC) scheme for fast point-to-point (PTP) transportation of the portal crane. Luffing and rotation of the portal crane are two mutually coupled motions in the process of PTP transportation, which are actuated by two control input, respectively. In this paper, the Bessel curve is used to obtain the PTP space transportation trajectory, and the relationship between the luffing length and the rotation angle is fitted into a polynomial function. The control strategy based on inversion system is a two-point boundary value problem (TPBVP) about the input-output coordinates of the portal crane. Then, the time-varying control nominal trajectory (CNT) of the system is obtained by solving a TPBVP for the internal dynamics of the portal crane, and the feedforward controller is designed. In order to realize the anti-swinging transportation, the gain scheduling feedback controller (GSFC) is designed to stabilize the motion along the feedforward trajectories in real time. When the crane is staying at the start/end point of the transportation or at any other position, the linear quadratic regulator (LQR) controller optimized by the particle swarm optimization (PSO) algorithm is used to keep the system stabilizing. Moreover, in order to improve the robustness of the system, the feedback controller is improved by an feedback control, and the numerical experiments are carried out. Finally, the numerical experiments are carried out. The experimental results verify the effectiveness of the control scheme proposed in this paper, which can realize fast PTP transportation with high efficiency and good stability.
Disclosure
The authors have nothing to report.
Conflicts of Interest
The authors declare no conflicts of interest.
Open Research
Data Availability Statement
Data sharing not applicable to this article as no datasets were generated or analysed during the current study.