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http://dx.doi.org/10.5370/JEET.2016.11.4.1027

Anti-Sway Control of the Overhead Crane System using HOSM Observer  

Kwon, Dongwoo (Dept. of Electrical and Computer Engineering, Ajou University)
Eom, Myunghwan (Dept. of Electrical and Computer Engineering, Ajou University)
Chwa, Dongkyoung (Dept. of Electrical and Computer Engineering, Ajou University)
Publication Information
Journal of Electrical Engineering and Technology / v.11, no.4, 2016 , pp. 1027-1034 More about this Journal
Abstract
This paper proposes a sum of squares (SOS) method for anti-swing control of overhead crane system using HOSM (High-Order Sliding-Mode) observer. By representing the dynamic equations of overhead crane as the polynomial dynamic equations via Taylor series expansion, the control input is obtained from the converted polynomial dynamic equations by numerical tool SOSTOOL. Since the actual crane systems include disturbance such as wind and friction, we propose a method to compensate for the disturbance by estimating the disturbance using HOSM observer. Numerical simulations show the effectiveness and the applicability of the proposed method.
Keywords
Sum of squares; Anti-swing crane control; Polynomial dynamic equations; Disturbance; HOSM Observer;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo, “SOSTOOLS: Sum of Squares Optimization Toolbox for MATLAB,” Version 2.00, California Institute of Technology, Pasadena, CA, 2004.
2 A. Levant, “High-order sliding modes: differentiation and output-feedback control,” International Journal of Control, vol. 76, no. 9/10, 2003, pp. 924-941.   DOI
3 F. F. Bejarano, L. Fridman, “High order sliding mode observer for linear systems with unbounded unknown inputs,” International Journal of Control, vol. 83, no. 9, Sep. 2010, pp. 1920-1929.   DOI
4 L. Fridman, A. Levant, and J. Davila “Observation of linear systems with unknown inputs via high-order sliding-modes,” International Journal of Systems Science, vol. 38, no. 10, Oct. 2007, pp. 773-791.   DOI
5 A. Levant, “High-order sliding modes: differentiation and output-feedback control,” International Journal of Control, Vol. 76, 2003, pp. 924-941.   DOI
6 K. Tanaka, H. Yoshida, and H. Ohtake, O. Wang, “A Sum of Squares Approach to Stability Analysis of Polynomial Fuzzy System,” American Control Conference, New York, Jul. 2007.
7 Y. Zhao, H. Gao, “Fuzzy-Model-Based Control of an Overhead Crane With Input Delay and ActuatorSaturation,” IEEE Transactrions on Fuzzy System, vol. 20, no. 1, Feb. 2012, pp. 181-186.   DOI
8 H. Park, D, Chwa, and K-.S. Hong, “A feedback linearization control of container cranes: varying rope length,” International Journal of Control, Automation, and System, Vol. 5, No. 4, Aug. 2007, pp. 379-387.
9 Q. H. Ngo, K.-S. Hong, “Sliding-Mode Antisway Control of an Offshore Container Crane,” IEEE/ASME Transactions on Mechatronics, vol. 17, no. 2, Apr. 2012, pp. 201-209.   DOI
10 S. Prajna, A. Papachristodoulou, and F. Wu, “Nonlinear control synthesis by sum of squares optimization: A Lyapunov-based approach,” Proceedings of Asian Control conference, Melbourne, Victoria, Australia, Jul. 2004.
11 J. Davila, L. Fridman, A. Levant, “Second-order sliding-mode observer form mechanical systems,” IEEE Transactions on Automatic Control, vol. 50, no. 11, 2005, pp. 1785-1789.   DOI
12 K. Tanaka, H. Ohtake, and O. Wang, “A Descriptor System Approach to Fuzzy Control System Design via Fuzzy Lyapunov Function,” IEEE Transactions on Fuzzy System, Vol. 15, Jun. 2007, pp. 331-341.
13 Y-J. Chen, W-J. Wang, and C-L. Chang, “Guaranteed cost control for an overhead crane with practical constraints: Fuzzy descriptor system approach,” Engineering Applications of Artificial Intelligence, vol. 22, no. 4-5, Jun. 2009, pp. 639-645.   DOI
14 R. C. Baker and B. Charlie, “Nonlinear unstable systems,” International Journal of Control, Automation, and Systems, vol. 23, no. 4, May. 1989, pp. 123-145.
15 V. Utkin, J. Guldner, and J. Shi, “Sliding Mode control in Electro-mechanical Systems,” Taylor & Francis: London, 1999, pp. 103-115.
16 L. Fridman, A. Levant, J. Davila, “High-order sliding-mode observation and identification for linear systems with unknown inputs,” Proceedings of the 45th Conference on Decision in Control, San Diego, CA, USA, Dec. 2006, pp. 5567-5572
17 C. Edwards, S. Spurgeon, "Sliding Mode Control," Taylor & Francis: London, 1998.
18 T. Boukhabza, M. Djemai, J. Barbot, “Implicit Triangular Observer Form Dedicated to a Sliding Mode Observer for Systems with Unknown Input,” Asian Journal of Control, vol. 5, no. 4, Dec. 2003, pp. 513- 527
19 A. Piazzi and A. Visioli, “Optimal dynamic inversion based control of an overhead crane,” IEE Proceedings of the Control Theory and Applications, vol. 149, no. 5, Sep. 2002, pp. 405-411.   DOI
20 A. Piazzi and A. Visioli, “Optimal dynamic inversion based control of an overhead crane,” IEE Proceeding of the Control Theory and Application, Vol. 149, No. 5, Sep. 2002, pp. 405-411.   DOI