ICIRA 2017: Intelligent Robotics and Applications pp 624-636 | Cite as
Research of the Active Vibration Suppression of Flexible Manipulator with One Degree-of-Freedom
Abstract
A flexible manipulator with concentrated mass at its end is simplified to be a Bernoulli-Euler beam module in this paper. The oscillatory differential equation and system decoupling equation of the one DOF flexible manipulator is deduced according to the module simplified from practical engineering. And then, based on the establishment of dynamic model, we get the state of space expression through the Lagrange equation. Take the first order modal parameters of the flexible manipulator to track the angular displacement of the manipulator and the deflection of its end. According to the established state space expression, a comparison is done between the PD controller and the integral separation PID controller in the active control of flexible manipulator through simulation in Simulink. Result shows that the integral separation PID controller has obvious advantage than the PD controller in the control of flexible manipulator. The former is better to quickly arrive at the specified position and both its static error and overshoot are smaller.
Keywords
Flexible manipulator Active vibration suppression PD controller Integral separation PID controllerReferences
- 1.Kerr, M.L., Asokanthan, S.F., Jayasuriya, S.: Robust tracking control of a single-link flexible manipulator. In: IFAC Proceedings, vol. 35(1), pp. 241–246 (2002)Google Scholar
- 2.Rios-Bolívar, M., Navas, A.: Output feedback regulation of a flexible joint manipulator. In: IFAC Proceedings, vol. 40(12), pp. 342–347 (2007)Google Scholar
- 3.Qiu, Z.-c., Zhao, Z.-l.: Vibration suppression of a pneumatic drive flexible manipulator using adaptive phase adjusting controller. J. Vib. Control 21(15), 2959–2980 (2014)CrossRefGoogle Scholar
- 4.Cannon, R.H., Schmitz, E.: Initial experiments on end-point control of a flexible one-link robot. Int. J. Robot. Res. 3(3), 62–75 (1984)CrossRefGoogle Scholar
- 5.Ozen, F: New non-linear stabilizing control law for flexible-link manipulator. In: Proceedings of the Japan/USA Symposium on Flexible-Link Manipulator, vol. 1, pp. 291–298 (1996)Google Scholar
- 6.Talebi, H.A., Khorasani, K.: Neural network based control schemes for flexible-link manipulators: simulations and experiments. Neural Netw. 11(7–8), 1337–1357 (1998)Google Scholar
- 7.Talebi, H.A., Khorasani, K: Tip-position tracking for flexible-link manipulator using artificial neural networks: experimental results. In: IEEE International Conference on Neural Networks Conference Proceedings, vol. 3(4–9), pp. 2063–2068 (1998)Google Scholar
- 8.Yigit, A.S.: On the stability of PD control for a two-link rigid-flexible manipulator. ASME J. Dyn. Syst. Measur. Control 116(2), 208–2015 (1994)CrossRefMATHGoogle Scholar
- 9.Kelly, R., Omega, R., Ailton, A.: Global regulation of Flexible joint robots using approximate differentiation. IEEE Trans. Autom. Control 116(2), 208–215 (1994)Google Scholar
- 10.Robert, F.: Steidel: An Introduction to Mechanical Vibrations. John wiley and sons Press, New Jersey (1989)Google Scholar
- 11.Ogata, K.: Modern Control Engineering, 5th edn. Prentice Hall Press, Hong Kong (2009)MATHGoogle Scholar
- 12.Lou, J.-q., Wei, Y.-d., et al.: Hybrid PD and effective multi-mode positive position feedback control for slewing and vibration suppression of a smart flexible manipulator. Smart Mater. Struct. 24(3), 1–14 (2015)CrossRefGoogle Scholar
- 13.Dai, Y.Q., Loukianov, A., Uchyama, M.: A hybrid numerical method for solving the inverse kinematics of a class flexible manipulators. In: Proceedings of IEEE International Conference on Robotics and Automation (1997)Google Scholar
- 14.Jahed, A., Piltan, F., et al.: Design computed torque controller with parallel fuzzy inference system compensator to control of robot manipulator. Int. J. Inf. Eng. Electron. Bus. (IJIEEB) 5(3), 66–77 (2013)Google Scholar