In this work, a position control for slider-crank mechanisms without Jacobian and joint measurements is presented. A Jacobian compensator that depends on the sign of the direction of rotation of the input link and the output link is proposed. A linear sensor is mounted at the slider to measure its position. Simulations and experiments are presented using two different Whitworth mechanisms to validate and compared the proposed approach with Jacobian-based controllers.
HsiehW-HTsaiC-H.A study on a novel quick return mechanism. Trans Can Soc Mech Eng2009; 33(3): 487–500.
2.
MartinGH.Kinematics and dynamics of machines. 2nd ed.New York: McGraw-Hill, 1982.
3.
NortonRL.Design of machinery. 2nd ed.New York: McGraw-Hill, 2001.
4.
DwivediSN.Application of Whitworth quick return mechanism for high velocity impacting press. Mech Mach Theory1984; 19(1): 51–59.
5.
FungRFChenKW.Constant speed control of the quick return mechanism driven by a DC motor. JSME Int J C: Mech Sy1997; 40(3): 454–461.
6.
FatehMMFarhangfardH.On the transforming of control space by manipulator Jacobian. Int J Control Autom2008; 6(1): 101–108.
7.
YazarelHCheahCC. Adaptive visual servoing of robots with uncertain gravity regressor and Jacobian matrices. In: Proceedings of the American control conference, Arlington, VA, 25–27 June 2001. New York: IEEE.
8.
HasaATHamoudaAIsmailN, et al. Trajectory tracking for a serial robot manipulator passing through singular configurations based on the adaptive kinematics Jacobian method. Proc IMechE, Part I: J Systems and Control Engineering2009; 223: 393–415.
9.
PerrusquíaAYuWSoriaA, et al. Stable admittance control without inverse kinematics. IFAC PapersOnLine2017; 50: 15835–15840.
10.
LinF-JWaiR-J.Adaptive and fuzzy neural network sliding-mode controllers for motor-quick-return servomechanism. Mechatronics2003; 13: 477–506.
11.
FungRFChangCF. Force/motion sliding mode control of three typical mechanisms. In: BartoszewiczA (ed.) Sliding mode control. Rijeka: IntechOpen, 2011, pp.281–306.
12.
KellyRSantibáñezVPerezL.Control of robot manipulators in joint space. London: Springer-Verlag, 2005.
13.
YuWRosenJLiX. PID admittance control for an upper limb exoskeleton. In: Proceedings of the 2011 American control conference, San Francisco, CA, 29 June–1 July 2011, pp.1124–1129. New York: IEEE.
14.
KhatibO.A unified approach for motion and force control of robot manipulators: the operational space formulation. IEEE J Robotic Autom1987; 3: 43–53.
15.
HoganN.Impedance control: an approach to manipulation. J Dyn Syst: T ASME1985; 107: 1–7.
16.
RodríguezGCarrascoDGonzálezS, et al. Aproximación eficiente de Jacobianos para sistemas no lineales aplicado a simulación, Memory IV Automatic Control Symposium, DF, Mexico, 5–6 September 1985, pp. 179–187. INEAD.
17.
LeeAYYimJChoiY.Scaled Jacobian transpose based control for robotic manipulators. Int J Control Autom2014; 12: 1102–1109.
WitCCSicilianoBBastinG.Task space control. In: de WitCCSicilianoBBastinG (eds) Theory of robot control (Communications and control engineering). London: Springer, 1996, pp.115–139.
20.
GhorbelFHChételatOGunawardanaR, et al. Modeling and set point control of closed-chain mechanisms: theory and experiment. IEEE T Contr Syst T2000; 8(5): 801–815.
21.
YuWRosenJ. A novel linear PID controller for an upper limb exoskeleton. In: 2010, 49th IEEE conference on decision and control, Atlanta, GA, 15–17December. New York: IEEE.
22.
LiXYuW. A systematic tunning method of PID controller for robot manipulators. In: 9th IEEE international conference on control and automation, Santiago, Chile, 19–21 December 2011, pp.274–279. New York: IEEE.
23.
FungRLinFWaiR, et al. Fuzzy neural network control of a motor quick-return servomechanism. Mechatronics2000; 10: 145–167.
24.
FungRFChangCF.Force/motion sliding mode control of three typical mechanisms. Asian J Control2009; 11(2): 196–210.
