Fuzzy logic-based tuning of PID controller to control flexible manipulators
Tóm tắt
Flexible manipulators are widely used in overhead cranes for industrial purposes and accurate control of the tip point of such a system is very difficult. Control of a 6DOF flexible manipulator is attempted in this study. Model of the manipulator is built in sim-mechanics environment of MATLAB and simulated. Joints of the manipulator are made flexible with the use of joint spring and damper. The behavior of the system was found to be unstable and a controller was used to bring the stability. For this purpose, a conventional PID controller was used and its gain values are tuned using different approaches in this study. Finally, a manually designed fuzzy logic-based approach was also used to tune the PID gains and compared with that of the conventional tuning approaches. In order to apply controller to the system, equivalent linearized transfer function of the model is derived in MATLAB. Among all the conventional tuned PID controllers applied, RRT-based method has performed best in terms of phase margin and gain margin. Also, the performance of fuzzy logic-tuned PID controller was found to be better compared to the conventional PID tuned controllers.
Tài liệu tham khảo
Theodore RJ, Ghosal A (2003) Robust control of multilink flexible manipulators. Mech Mach Theory 38:367–377
Shan J, Liu H-T, Sun D (2005) Slewing and vibration control of a single link flexible manipulator by positive position feedback (PPF). Mechatronics 15:487–503
De Lucaa A, Sicilianob B, Zolloc L (2005) PD control with on-line gravity compensation for robots with elastic joints: theory and experiments. Automatica 41:1809–1819
Feliu V, Pereira E, Díaz IM, Roncero P (2006) Feedforward control of multimode single-link flexible manipulators based on an optimal mechanical design. Robot Auton Syst 54:651–666
Vakil M, Fotouhi R, Nikiforuk PN (2009) Maneuver control of the multilink flexible manipulators. Int J Non-Linear Mech 44:831–844
Subudhi B, Morris AS (2009) Soft computing methods applied to the control of a flexible robot manipulator. Appl Soft Comput 9:149–158
Mehrez MW, EI-Badawy AA (2010) Effect of the joint inertia on selection of under-actuated control algorithm for flexible-link manipulators. Mech Mach Theory 45:967–980
Ahmad MA, Tumari MZM, Nasir ANK (2013) Composite fuzzy logic control approach to a flexible joint manipulator. Int J Adv Robot Syst 10(1):58
Ramalingam S, Rasool Mohideen S, Manigandan S, Prem Anand TP (2019) Hybrid polymer composite material for robotic manipulator subject to single link flexibility. Int J Ambient Energy pp 1–8
Wang B, Lou J (2019) Coupling dynamic modelling and parameter identification of a flexible manipulator system with harmonic drive. Meas Control 52(1–2):122–130
Liu Z, Liu J, He W (2016) Adaptive boundary control of a flexiblemanipulator with input saturation. Int J Control 89(6):1191–1202
Mohamed Z, Khairudin M, Husain AR, Subudhi B (2016) Linear matrix inequality-based robust proportional derivative control of a two link flexible manipulator. J Vib Control 22(5):1244–1256
Shaheed MH, Tokhi O (2012) Adaptive closed loop control of a single-link flexible manipulator. J Vib Control 19(13):2068–2080
Kiang CT, Spowage A, Yoong CK (2015) Review of control and sensor system of flexible manipulator. J Intell Robot Syst 77:187–213
Karagulle H, Malgaca L, Dirilmis M, Akdag M, Yavuz S (2017) Vibration control of a two-link flexible manipulator. J Vib Control 23(12):2023–2034
Ahmad MA, Tumari MZM, Nasir ANK (2013) Composite fuzzy logic control approach to a flexible joint manipulator. Int J Adv Robot Syst 10:58
Shawky A, Zydek D, Elhalwagy YZ, Ordys A (2013) Modeling and nonlinear control of a flexible-link manipulator. Appl Math Model 37:9591–9602
Sun C, He W, Hong J (2017) Neural network control of a flexible robotic manipulator using the lumped spring-mass model. IEEE Trans Syst Man Cybern Syst 47(8):1863–1874
Kim S-M (2015) Lumped element modelling of a flexible manipulator system. IEEE/ASME Trans Mechatron 20(2):967–974
Liu Z, Liu J, He W (2018) Dynamic modelling and vibration control for a non-linear 3-D flexible manipulator. Int J Robust Nonlinear Control 28:3927–3945
Gao H, He W, Zhou C, Sun C (2019) Robotic manipulator using assumed mode method. IEEE Trans Ind Inform 15(2):755–765
Meng D, She Y, Xu W, Lu W, Liang B (2018) Dynamic modeling and vibration characteristic analysis of flexible-link and flexible-joint space manipulator. Multibody Syst Dyn 43:321–347
Wei J, Cao D, Liu L, Huang W (2017) Global mode method for dynamic modeling of a flexible-link flexible-joint manipulator with tip mass. Appl Math Model 48:787–805
Meng D, Wang X, Xu W, Liang B (2017) Space robots with flexible appendages: dynamic modeling, coupling measurement, and vibration suppression. J Sound Vib 396:30–50
Yanga X, Geb SS, He W (2018) Dynamic modelling and adaptive robust tracking control of a space robot with two-link flexible manipulators under unknown disturbances. Int J Control 91(4):969–988
Sayahkarajy M (2018) Mode shape analysis, modal linearization, and control of an elastic two-link manipulator based on the normal modes. Appl Math Model 59:546–570
Kumar P, Pratiher B (2019) Nonlinear modeling and vibration analysis of a two-link flexible manipulator coupled with harmonically driven flexible joints. Mech Mach Theory 131:278–299
Lochan K, Roy BK, Subudhi B (2017) Robust tip trajectory synchronisation between assumed modes modelled two-link flexible manipulators using second order PID terminal SMC. Robot Auton Syst 97:108–124