Journal
ADVANCES IN MECHANICAL ENGINEERING
Volume 10, Issue 1, Pages -Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1687814017752213
Keywords
Under-actuated system; anti-swing control; double-pendulum overhead cranes; robustness; Lyapunov techniques; LaSalle's invariance theorem
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Funding
- National High-tech Research and Development (863 Program) of China [2015AA042307]
- Shandong Provincial Scientific and Technological Development Foundation, China [2014GGX103038]
- Shandong Province Independent Innovation & Achievement Transformation Special Foundation, China [2015ZDXX0101E01]
- Fundamental Research Funds of Shandong University, China [2015JC027]
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A novel energy-coupling-based control method for under-actuated double-pendulum overhead cranes with initial control force constraint is proposed in this article. The significant feature of the designed controller is its superior control performance as well as its strong robustness with respect to parameter variations and external disturbances. By incorporating a smooth hyperbolic tangent function into the control law, the proposed controller guarantees soft start of the trolley. Moreover, to improve the transient performance of the crane system, coupling behavior among the trolley movement, the hook swing, and the payload swing is enhanced by introducing a generalized payload horizontal-displacement signal. Lyapunov techniques and LaSalle's invariance theorem are utilized to prove the stability of the designed closed-loop system. Simulation results demonstrate that the new energy-coupling control method achieves superior control performance and strong robustness over different payload masses, cable lengths, desired positions, and external disturbances with reduced initial control force.
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