Abstract
This paper proposes an adaptive hierarchical sliding mode control method based on radial basis function neural network for an uncertain 2D overhead crane system. A second-level sliding surface is defined by a linear combination of two subsystem’s sliding surfaces. A radial basis function neural network is adopted to approximate the unknown dynamic model. The control law is designed in order to ensure the stability of sliding surfaces and an updated law for neural network’s weight matrices is derived from a candidate of Lyapunov function. Simulation results show that the effectiveness of the proposed control scheme, such as smaller swing and accurate position as desired. Besides that, the controller is installed in micro-controller for the actual model in laboratory and experiment result evaluate the applicability of this control design in industrial applications.
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References
Fang Y, Zergeroglu E, Dixon WE, Dawson DM (2003) Nonlinear coupling control laws for an overhead crane system. IEEE/ASME Trans Mechatron 8(3):418–423
Yu J, Lewis FL, Huang T (1995) Nonlinear feedback control of a gantry crane. In: Proceedings of 1995 American control conference, pp 4310–4315
Park H, Chwa D, Hong K (2007) A feedback linearization control of container cranes: varying rope length. Int J Control Autom Syst 5(4):379
Tuan LA, Kim GH, Lee SG (2012) Partial Feedback linearization control of the three dimensional overhead crane. In: IEEE International Conference on Automation Science and Engineering, pp 1198–1203
Le TA, Kim GH, Kim MY, Lee SG (2012) Partial feedback linearization control of overhead cranes with varying cable lengths. Int J Precis Eng Manuf 13(4):501–507
Cho S-K, Lee H-H (2002) A fuzzy-logic antiswing controller for three-dimensional overhead cranes. ISA Trans 41(2):235–243
Mahfouf M, Kee CH, Abbod MF, Linkens DA (2000) Fuzzy logic-based anti-sway control design for overhead cranes. Neural Comput Appl 9(1):38–43
Wang L, Zhang H, Kong Z (2015) Anti-swing control of overhead crane based on double fuzzy controllers. In: Proceedings of 27th Chinese Control Decision Conference, pp 981–986
Shyu KK, Jen CL, Shang LJ (2005) Design of sliding-mode controller for anti-swing control of overhead cranes. In: 31st Annual Conference of IEEE Industry Electronics Society, pp 147–152
Qian D, Yi J, Zhao D (2011) Control of overhead crane systems by combining sliding mode with fuzzy regulator. IFAC Proc 44(1):9320–9325
Tuan LA, Kim JJ, Lee SG, Lim TG, Nho LC (2014) Second-order sliding mode control of a 3D overhead crane with uncertain system parameters. Int J Precis Eng Manuf 15(5):811–819
Ngo QH, Hong KS (2012) Sliding-mode antisway control of an offshore container crane. IEEE/ASME Trans Mechatron 17(2):201–209
Bartolini G, Pisano A, Usai E (2002) Second-order sliding-mode control of container cranes. Automatica 38(10):1783–1790
Xu W, Zheng X, Liu Y, Zhang M, Luo Y (2015) Adaptive dynamic sliding mode control for overhead cranes. In: Proceedings of the 34th Chinese Control Conference, pp 3287–3292
Wang W, Yi J, Zhao D, Liu D (2004) Design of a stable sliding-mode controller for a class of second-order underactuated systems. IEEE Proc Control Theory Appl 151(6):243–250
Qian D, Yi J, Zhao D (2008) Hierarchical sliding mode control for a class of SIMO underactuated system. Control Cybern 37(1):160–175
Wang W, Liu XD, Yi JQ (2007) Structure design of two types of sliding-mode controllers for a class of under-actuated mechanical systems. IET Control Theory Appl 1(1):163–172
Qian D, Liu X (2012) Adaptive control based on hierarchical sliding mode for under-actuated systems. Appl Math Inf Sci 1364(4):1050–1055
Singh AM, Hoang VT, Ha QP (2016) Fast terminal sliding mode control for gantry cranes. In: International symposium on automation and robotics in construction
Tuan LA, Lee S-G, Nho LC, Kim DH (2013) Model reference adaptive sliding mode control for three dimensional overhead cranes. Int J Precis Eng Manuf 14(8):1329–1338
Yang JH, Yang KS (2007) Adaptive coupling control for overhead crane systems. Mechatronics 17(2–3):143–152
Ji G (2012) Adaptive neural network dynamic surface control for perturbed nonlinear time-delay systems. Int J Autom Comput 9(April):135–141
Park MS, Chwa D, Hong SK (2008) Antisway tracking control of overhead cranes with system uncertainty and actuator nonlinearity using an adaptive fuzzy sliding-mode control. IEEE Trans Ind Electron 55(11):3972–3984
Park M, Chwa D, Eom M (2014) Adaptive sliding-mode antisway control of uncertain overhead cranes with high-speed hoisting motion. IEEE Trans Fuzzy Syst 22(5):1262–1271
Hung LC, Chung HY (2007) Decoupled control using neural network-based sliding-mode controller for nonlinear systems. Expert Syst Appl 32(4):1168–1182
Hung LC, Chung HY (2007) Decoupled sliding-mode with fuzzy-neural network controller for nonlinear systems. Int J Approx Reason 46(1):74–97
Huang S-J, Huang K-S, Chiou K-C (2003) Development and application of a novel radial basis function sliding mode controller. Mechatronics 13(4):313–329
Nguyen NP, Ngo QH, Nguyen CN (2017) Adaptive sliding mode control using radial basis function network for container cranes. In: 2017 17th international conference on control, automation and systems, pp 1628–1633
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Le, H.X., Nguyen, T.V., Le, A.V. et al. Adaptive hierarchical sliding mode control using neural network for uncertain 2D overhead crane. Int. J. Dynam. Control 7, 996–1004 (2019). https://doi.org/10.1007/s40435-019-00524-x
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DOI: https://doi.org/10.1007/s40435-019-00524-x