Design of nonlinear controller for bi-axial inverted pendulum system

IET Control Theory and Applications

Volumn 1, Issue 4, 2007, Pages 979-986

  Chang, L H ^a   Lee, A C ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; FEEDBACK LINEARIZATION; PENDULUMS; PHASE CONTROL; SLIDING MODE CONTROL; THREE TERM CONTROL SYSTEMS; WEBSITES;

BI-AXIAL INVERTED PENDULUM SYSTEM; STEADY-STATE ERROR; TUSTIN'S FRICTION;

NONLINEAR CONTROL SYSTEMS;

EID: 34250861491     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20060338     Document Type: Article

References (20)

1. Furuta, K., Kajiwara, H., and Kosuge, K.: ' Digital control of a double inverted pendulum on an inclined rail ', Int. J. Control, 1980, 32, (5), p. 907-924 0020-7179
2. ∞ control of a triple inverted pendulum with single control input ', IEE Proc., Control Theory Appl., 1999, 146, (6), p. 567-577 10.1049/ip-cta:19990588 1350-2379
3. Lin, C.E., and Sheu, Y.R.: ' A hybrid-control approach for pendulum-car control ', IEEE Trans. Indus. Electron., 1992, 39, (3), p. 208-214
4. Chen, C.S., and Chen, W.L.: ' Robust adaptive sliding-mode control using fuzzy modeling for an inverted-pendulum system ', IEEE Trans. Indus. Electron., 1998, 45, (2), p. 297-306
5. Lozano, R., Fantoni, I., and Block, D.J.: ' Stabilization of the inverted pendulum around its homoclinic orbit ', Systems & Control Lett., 2000, 40, p. 197-204
6. Huang, S.J., and Huang, C.L.: ' Control of an inverted pendulum using grey prediction model ', IEEE Trans. Indus. Applic., 2000, 36, (2), p. 452-458
7. Rubi, J., Rubio, A., and Avello, A.: ' Swing-up control problem for a self-erecting double inverted pendulum ', IEE Proc., Control Theory Appl., 2002, 149, (2), p. 169-175 10.1049/ip-cta:20020326 1350-2379
8. Sprenger, B., Kucera, L., and Mourad, S.: ' Balancing of an inverted pendulum with a SCARA robot ', IEEE/ASME Trans. Mechatronics, 1998, 3, (2), p. 91-97 1083-4435
9. Cho, H.T., and Jung, S.: ' Balancing and position tracking control of an inverted pendulum on an X-Y plane using decentralized neural networks ', Proc. IEEE/ASME Int. Conf. on Advanced Intelligent Mechatronics (AIM2003), 2003, p. 181-186
10. Wai, R.J., and Chang, L.J.: ' Adaptive stabilizing and tracking control for a nonlinear inverted-pendulum system via sliding-mode technique ', IEEE Trans. Indus. Electron., 2006, 53, (2), p. 674-692
11. ∞ control of an experimental inverted pendulum with dry friction ', IEEE Control Syst. Mag., 1993, 13, (4), p. 44-50 10.1109/37.229559 0272-1708
12. Grasser, F., D'Arrigo, A., Colombi, S., and Rufer, A.C.: ' JOE: A mobile, inverted pendulum ', IEEE Trans. Indus. Electron., 2002, 49, (1), p. 107-114
13. Edward, P.C.: ' Digital filtering: an introduction ', (Houghton Mifflin Co., Boston, 1992)
14. Tustin, A.: ' The effects of backlash and of speed-dependent friction on the stability of closed-cycle control systems ', IEE J., 1947, 94, (2A), p. 143-151
15. Armstrong-Hélouvry, B., Dupont, P., and Canudas de Wit, C.: ' A survey of models, analysis tools and compensation methods for the control of machines with friction ', Automatica, 1994, 30, (7), p. 1083-1138 0005-1098
16. Umeno, T., and Hori, Y.: ' Robust speed control of DC servomotors using modern two degree-of-freedom controller design ', IEEE Trans. Indus. Electron., 1991, 38, (5), p. 363-368
17. Lee, H.S., and Tomizuka, M.: ' Robust motion controller design for high-accuracy positioning systems ', IEEE Trans. Indus. Electron., 1996, 43, (1), p. 48-55
18. Millman, J.: ' Microelectronics: digital and analog circuits and systems ', (McGraw-Hill, New York, 1979)
19. Slotine, J.-J.E., and Li, W.: ' Applied nonlinear control ', (Prentice-Hall, New Jersey, 1991)
20. Khalil, H.K.: ' Nonlinear systems ', (Prentice-Hall, New Jersey, 2000)