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Stabilization and equilibrium control of a new pneumatic cart-seesaw system

Published online by Cambridge University Press:  01 March 2008

J. Lin*
Affiliation:
Department of Mechanical Engineering, Ching Yun University, Jung-Li City, Taiwan 320, R.O.C.
J. H. Zhan
Affiliation:
Department of Mechanical Engineering, Ching Yun University, Jung-Li City, Taiwan 320, R.O.C.
Julian Chang
Affiliation:
Department of Mechanical Engineering, Ching Yun University, Jung-Li City, Taiwan 320, R.O.C.
*
*Corresponding author. E-mail: jlin@cyu.edu.tw

Summary

This investigation describes the mechanical configuration and control environment for a novel cart-seesaw system. This mechanism is called a super articulated mechanical system (SAMS). The system comprises a cart that slides on the pneumatic rodless cylinder. The rodless cylinder is double-acting with the carrier bracket, on which a cart is a pinion mechanism for the tracks. The cart-seesaw system brings the cart from any initial position to a desired position on the seesaw by applying an appropriate force to the cart and thus adjusting the angle of the seesaw. The position of a cart denotes the first degree of freedom, which is activated by a pneumatic proportional valve, and the angle of the seesaw indicates the second degree of freedom that is not actuated. Consequently, the proposed new pneumatic cart-seesaw system is straightforward to construct and direct to operate in different scenarios of performance. A state feedback controller is applied for stabilization of the equilibrium point of the system. Moreover, this study adds a supervisory controller that takes control action in extreme situations. Test results reveal excellent properties in control performance. The proposed product can be extensively applied in SAMS and pneumatic control for robotics control laboratory.

Type
Article
Copyright
Copyright © Cambridge University Press 2007

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References

1.Uran, S. and Jezernik, K., “Control of a Ball and Beam Like Mechanism,” Proceedings of the Advanced Metallization Conference (2002) pp. 376–380.Google Scholar
2.Wang, G., Tian, Y. and Hong, W., “Stabilization and Equilibrium Control of Super Articulated Ball and Beam System,” Proceedings of the 3rd World Congress on Intelligent Control and Automation (2000) pp. 3290–3293.Google Scholar
3.Seto, S. and Baillieul, J., “Control problems in super-articulated mechanical systems,” IEEE Trans. Autom. Control 39 (12), 24422453 (1994).CrossRefGoogle Scholar
4.Bloch, A. M., Reyhanoglu, M. and McClamroch, N. H., “Control and stabilization of nonholonomic dynamic systems,” IEEE Trans. Autom. Control 39 (12), 17461757 (1992).CrossRefGoogle Scholar
5.Lafferriere, G. and Sussmann, H. J., “Motion Planning for Controllable Systems Without Drift,” Proceedings of the IEEE International Conference on Robotics and Automation, Sacramento, California (1991) pp. 1148–1153.Google Scholar
6.Murray, R. M. and Sastry, S. S., “Nonholonomic motion planning: Steering using sinusoids,” IEEE Trans. Autom. Control 38, 700716 (1993).CrossRefGoogle Scholar
7.Choi, J. H. and Grizzle, J. W., “Feedback control of an underactuated planar bipedal robot with impulsive foot action,” Robotica 23 (5), 567580 (2005).CrossRefGoogle Scholar
8.Nikkhah, M., Ashrafiuon, H. and Fahimi, F., “Robust control of underactuated bipeds using sliding modes,” Robotica 25 (3), 367374 (2007).CrossRefGoogle Scholar
9.Hagan, M. T. and Latino, C. D., “An Interdisciplinary Control Systems Laboratory,” Proceedings of the IEEE International Conference on Control Applications 1996, pp. 403–408.Google Scholar
10.Hauser, J., Sastry, S. and Kokotovic, P., “Nonlinear control via approximate input-output linearization: The ball and beam example,” IEEE Trans. Autom. Control 37 (3), 392398 (1992).CrossRefGoogle Scholar
11.Huang, J. and Lin, C.-F., “Robust Nonlinear Control of the Ball and Beam System,” Proceedings of the American Control Conference (1995) pp. 306–310.Google Scholar
12.Simmons, A. T. and Hung, J.-Y., “Hybrid Control of System With Poorly Defined Relative Degree: The Ball-on-Beam Example,” Proceedings of the 30th Annual Conference of the IEEE Industrial Electronics Society (2004) pp. 2436–2440.Google Scholar
13.Lam, H. K., Leung, F. H. F. and Tam, P. K. S., “Design of a Fuzzy Controller for Stabilizing a Ball-and-Beam System,” Proceedings of the IECON (1999) pp. 520–524.Google Scholar
14.Eaton, P. H., Prokhorov, D. V. and Wunsch, D. C. II, “Neurocontroller alternatives for “fuzzy” ball-and-beam systems with nonuniform nonlinear friction,” IEEE Trans. Neural Netw. 11 (2), 423435 (2000).CrossRefGoogle ScholarPubMed
15.Fan, X., Zhang, N. and Teng, S., “Trajectory planning and tracking of ball and plate system using hierarchical fuzzy control scheme,” Fuzzy Sets Syst. 144, 297312 (2003).CrossRefGoogle Scholar
16.Richer, E. and Hurmuzlu, Y., “A high performance pneumatic force actuator system: Part I—Nonlinear mathematical model,” Trans. ASME J. Dynam. Syst. Meas. Control 122, 416425 (2000).CrossRefGoogle Scholar
17.Bobrow, J. E. and Jabbari, F., “Adaptive pneumatic force actuation and position control,” Trans. ASME J. Dynam. Syst. Meas. Control 113, 267272 (1991).CrossRefGoogle Scholar
18.McDonell, B. W. and Bobrow, J. E., “Adaptive tracking control of an air powered robot actuator,” Trans. ASME J. Dynam. Syst. Meas. Control 115, 427433 (1993).CrossRefGoogle Scholar
19.Arun, P. K., Mishra, J. K. and Radke, M. G., “Reduced order sliding mode control for pneumatic actuator,” IEEE Trans. Control Syst. Technol. 2 (3), 271276 (1994).Google Scholar
20.Pandian, S. R., Hayakawa, Y., Kanazawa, Y., Kamoyama, Y. and Kawamura, S., “Practical design of a sliding moth controller for pneumatic actuators,” Trans. ASME J. Dynam. Syst. Meas. Control 119, 666 (1997).CrossRefGoogle Scholar
21.Richer, E. and Hurmuzlu, Y., “A high performance pneumatic force actuator system: Part I –Nonlinear Mathematical Model,” Trans. of the ASME Journal of Dynamic Systems, Measurement, and Control 122, 416425 (2000).CrossRefGoogle Scholar
22.Richer, E. and Hurmuzlu, Y., “A high performance pneumatic force actuator system: Part II—Nonlinear controller design,” Trans. ASME J. Dynam. Syst. Meas. Control 122, 426434 (2000).CrossRefGoogle Scholar
23.McCloy, D. and Martin, H. R., Control of Fluid Power (Ellis Horwood, New York, 1980).Google Scholar
24.Lin, J. and Huang, Z.-Z., “A novel PID control parameters tuning approach for robot manipulators mounted on oscillatory bases,” Robotica 25 (4), 467477 (2007).CrossRefGoogle Scholar
25.Jamshidi, M., Large-Scale Systems: Modeling, Control, and Fuzzy Logic (Prentice Hall, Englewood cliffs, NJ, 1996).Google Scholar