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Design and simulation of control systems of an inverted pendulum

Published online by Cambridge University Press:  09 March 2009

Qing Feng
Affiliation:
University of Electro-communications, 1-5-1 Chofugaoka Chofu Tokyo 182 (Japan)
Kazuo Yamafuji
Affiliation:
University of Electro-communications, 1-5-1 Chofugaoka Chofu Tokyo 182 (Japan)

Summary

This is a preliminary study to provide useful information for the design of the control of a monocycle which is one of the intelligent movable robots. In this paper, the two-degree-of-freedom monocycle is modeled by an inverted pendulum with a controlling arm pivoted at its upper end. The controlling arm is rotated to give the pendulum restoring moment.

The feedback control systems for the model have been designed using two methods – the pole assignment and the optimal control, respectively. Simulations of the control systems designed with the above methods are carried out on a personal computer. Although the pendulum can be stabilized with either of these methods, it is found that the optimal control method is superior to the pole assignment one, because in the former the control system can be designed to be suitably corresponding to the design demands based on a definite criterion.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1988

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References

1.Golliday, C.L. and Hemami, H.Postural Stability of the Two-Degree-of-Freedom Biped by General Linear Feed backIEEE Trans. Aut. Cont.. AC-21, 7479 (1976).CrossRefGoogle Scholar
2.Mori, S., Nishihara, H. and Furuta, K.Control of unstable mechanical system; Control of pendulumInt. J. Control, 23, No. 5, 673692 (1976).CrossRefGoogle Scholar
3.Hayashi, S., Kanoh, H. and Masubuchi, M.Postural control of An Inverted Pendulum (in Japanese)Trans. SICE 13, No. 5, 425432 (1977).CrossRefGoogle Scholar
4.Gilbert, E.Controllability and Observability in Multivariable Control SystemJ. SIAM. Control, 1, No. 2, 128151 (1963).Google Scholar
5.Wonham, W.M.On Pole Assignment in Multi-input Controllable Linear SystemIEEE Trans. Aut. Cont. AC-12, 660665 (1967).CrossRefGoogle Scholar
6.Kleinman, D.L.On an Iterative Technique for Riccati Equation Computation IEEE Trans. Aut. Cont. AC-13, 114115 (1968).CrossRefGoogle Scholar
7.Uchiyama, T. et al. “Development of a precision multi-articulated robotPreprint for the Annual Meeting of the Japan Society of Precision Engineering, 584596 (1982).Google Scholar