Multi-cable parallel suspension system (MCPSS) is designed to lift a heavy object with rapid development of deep resources exploitation. An adaptive fuzzy backstepping control strategy combining with nonlinear disturbance observer is studied to synthetically control the posture for the underactuated MCPSS with tension constraint in this article. Firstly, a theoretical modelling of the MCPSS with boundary constraints is derived by the extended Hamilton’s Principle. Secondly, the parameter uncertainties and time-varying disturbances are compensated by the fuzzy system and nonlinear disturbance observer, respectively. Thirdly, an adaptive fuzzy backstepping feedback controller based on the reference model is proposed to suppress vibration and control posture of the suspension platform. Finally, an Automatic Dynamic Analysis of Mechanical Systems (ADAMS) simulation and a numerical calculation are used to illustrate the theoretical model and the proposed control performance.
AbbasnejadGCarricatoM (2015) Direct geometrico-static problem of underconstrained cable-driven parallel robots with cables. IEEE Transactions on Robotics31(2): 468–478.
2.
AbdolshahSZanottoDRosatiGAgrawalSK (2017) Optimizing stiffness and dexterity of planar adaptive cable-driven parallel robots. Journal of Mechanisms and Robotics9(3): 1–11.
3.
BarikbinBFakharianA (2018) Trajectory tracking for quadrotor UAV transporting cable-suspended payload in wind presence. Transactions of the Institute of Measurement and Control41(5): 1243–1255.
4.
BehzadipourSKhajepourA (2006) Stiffness of cable-based parallel manipulators with application to stability analysis. Journal of Mechanical Design128(1): 303–310.
5.
GagliardiniLCaroSGouttefardeMGirinA (2016) Discrete reconfiguration planning for cable-driven parallel robots. Mechanism and Machine Theory100(1): 313–337.
6.
HeWHeXGeSS (2015) Boundary output feedback control of a flexible string system with input saturation. Nonlinear Dynamics80(1–2): 871–888.
7.
HongFGeSSPangCK (2010) Robust adaptive neuro-fuzzy control of uncertain nonholonomic systems[J]. Journal of Control Theory and Applications8 (2): 125–138.
8.
HwangSWBakJ-HYoonJ, et al. (2016) Trajectory generation to suppress oscillations in under-constrained cable-driven parallel robots. Journal of Mechanical Science and Technology30(12): 5689–5697.
9.
KaczmarczykSOstachowiczW (2003a) Transient vibration phenomena in deep mine hoisting cables. Part 1: Mathematical model. Journal of Sound and Vibration262(2): 219–244.
10.
KaczmarczykSOstachowiczW (2003b) Transient vibration phenomena in deep mine hoisting cables. Part 2: Numerical simulation of the dynamic response. Journal of Sound and Vibration262(2): 245–289.
11.
LuBFangYSunN (2018) Nonlinear coordination control of offshore boom cranes with bounded control inputs. International Journal of Robust and Nonlinear Control29(4): 1165–1181.
12.
MeunierGBouletBNahonM (2009) Control of an overactuated cable-driven parallel mechanism for a radio telescope application. IEEE Transactions on Control Systems Technology17(5): 1043–1054.
13.
OhSRAgrawalSK (2005) A reference governor-based controller for a cable robot under input constraints. IEEE Transactions on Control Systems Technology13(4): 639–645.
14.
PuseyJFattahAAgrawalSMessinaE (2004) Design and workspace analysis of a 6–6 cable-suspended parallel robot. Mechanism and Machine Theory39(7): 761–778.
15.
QiZMcInroyJEJafariF (2006). Trajectory tracking with parallel robots using low chattering, fuzzy sliding mode controller. Journal of Intelligent and Robotic Systems48(3): 333–356.
16.
RenYChenMShiP (2018) Robust adaptive constrained boundary control for a suspension cable system of a helicopter. International Journal of Adaptive Control and Signal Processing32(1): 50–68.
17.
RendaFGiorelliMCalistiM, et al. (2014) Dynamic model of a multibending soft robot arm driven by cables. IEEE Transactions on Robotics30(5): 1109–1122.
18.
WangNGCaoGHWangL (2020) Modelling and control of flexible guided lifting system with output constraints and unknown input hysteresis[J]. Journal of Vibration and Control26(1–2): 112–128.
19.
WangPHFungRFLeeMJ (1998) Finite element analysis of a three-dimensional underwater cable with time-dependent length. Journal of Sound and Vibration209(2): 223–249.
20.
WeiHShuzhi SamG (2015) Vibration control of a flexible string with both boundary input and output constraints. IEEE Transactions on Control Systems Technology23(4): 1245–1254.
21.
YuanHCourteilleEGouttefardeMHervéP-E (2017) Vibration analysis of cable-driven parallel robots based on the dynamic stiffness matrix method. Journal of Sound and Vibration, 394(1): 527–544.
22.
YuzhengGPengYungW (2003) An adaptive fuzzy sliding mode controller for robotic manipulators. IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans33(2): 149–159.
23.
ZakeZChaumetteFPedemonteNCaroS (2019) Vision-based control and stability analysis of a cable-driven parallel robot. IEEE Robotics and Automation Letters4(2): 1029–1036.
24.
ZhangNShangW (2016) Dynamic trajectory planning of a 3-DOF under-constrained cable-driven parallel robot. Mechanism and Machine Theory98(1): 21–35.
25.
ZhuWDNiJ (2000) Energetics and stability of translating media with an arbitrarily varying length. Journal of Vibration and Acoustics122(3): 295–304.
