Design of a fuzzy controller with fuzzy swing-up and parallel distributed pole assignment schemes for an inverted pendulum and cart system

IEEE Transactions on Control Systems Technology

Volumn 16, Issue 6, 2008, Pages 1277-1288

  Tao, C W ^a   Taur, Jinshiuh S ^b   Hsieh, Tzuen Wuu ^b   Tsai, C L ^c  

^a NATIONAL ILAN UNIVERSITY   (Taiwan)

^b NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

^c Ardentec Corporation   (Taiwan)

Author keywords

Fuzzy controller; Inverted pendulum and cart system; Pole assignment controller; Takagi Sugeno (T S) fuzzy model

Indexed keywords

CONTROL THEORY; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; POLES; SYSTEM STABILITY;

CART SYSTEMS; CONTROL ACTIONS; EQUILIBRIUM STATES; FUZZY CONTROLLER; FUZZY CONTROLLERS; FUZZY MODELS; INVERTED PENDULUM AND CART SYSTEM; INVERTED PENDULUMS; NONLINEAR FRICTIONS; POLE ASSIGNMENT CONTROLLER; POLE ASSIGNMENT CONTROLLERS; POLE ASSIGNMENTS; SIMULATION RESULTS; SWING UP; TAKAGI-SUGENO (T-S) FUZZY MODEL; TAKAGI-SUGENO FUZZY MODELS;

PENDULUMS;

EID: 55349104091     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2008.921803     Document Type: Article

References (22)

1. J. Q. Huang and F. L. Lewis, "Neural-network predictive control for nonlinear dynamic-systems with time-delay," IEEE Trans. Neural Netw. vol. 14, no. 2, pp. 377-389, Mar. 2003.
2. W. T. Baumann and W. J. Rugh, "Feedback control of nonlinear systems: A extended linearization," IEEE Trans. Autom. Control, vol. AC-31, no. 1, pp. 40-46, Jan. 1986.
3. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis Upper Saddle River, NJ: Prentice-Hall, 2001.
4. W. Li-Xin, A Course in Fuzzy Systems and Control. Upper Saddle River, NJ: Prentice-Hall, 2005.
5. N. Muskinja and B. Tovornik, "Swinging up and stabilization of a real inverted pendulum," IEEE Trans. Ind. Electron., vol. 53, no. 2, pp. 631-639, Apr. 2006.
6. B. C. Kuo, Automatic Control Systems. Upper Saddle River, NJ: Prentice-Hall, 1997.
7. Z. Huanshui and X. Lihua, "Linear quadratic regulation for discrete-time systems with multiplicative noises and input delays," in Proc Amer. Control Conf., Jun. 2006, pp. 1718-1723.
8. C.-S. Chiu, "Mixed feedforward feedback based adaptive fuzzy control for a class of MIMO nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 6, pp. 716-727, Dec. 2006.
9. B. M. Al-Hadithi, F. Matia, and A. Jimenez, "Global stability of fuzzy systems based variable structure control," Proc. NAFIPS IEEE Fuzzy Inf. Processing Soc., pp. 210-215, 2002.
10. X.-J. Ma, Z.-Q. Sun, and Y.-Y. He, "Analysis and design of fuzzy controller and fuzzy observer," IEEE Trans. Fuzzy Syst., vol. 6, no. 1, pp. 41-51, Feb. 1998.
11. L. A. Zadeh, "Fuzzy sets," Inform Control, vol. 8, pp. 338-353, 1965.
12. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic Theory and Application. Englewood Cliffs, NJ: Prentice-Hall, 1995.
13. B. Schweizer and A. Sklar, "Associative functions and abstract sentigroups," Pub. Math. Debrecen, vol. 10, pp. 69-81, 1963.
14. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst. Man. Cybern., vol. SMC-15, no. 1, pp. 116-132, Feb. 1985.
15. F. H. F. Leung, L. K. Wong, and P. K. S. Tam, "Fuzzy model based controller for an inverted pendulum," Electron. Lett., vol. 32, no. 18, pp. 1683-1685, 1996.
16. M. Vidyasagar, Nonlinear Systems Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1993.
17. K. Tanaka and M. Sugeno, "Stability analysis of fuzzy systems using Lyapunov's direct method," in Proc. NAFIPS, 1990, pp. 133-136.
18. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-1.
19. S. Brock, "Practical approach to fuzzy control of inverter pendulum," in Proc. ICIT, Slovenia, pp. 31-35.
20. J. Zhao and M. W. Spong, "Hybrid control for global stabilization of the cart-pendulum system," Automatica, vol. 37, no. 12, pp. 1941-1951, Dec. 2001.
21. M. Bugeja, "Non-linear swing-up and stabilizing control of an inverted pendulum system," in Proc. IEEE Int. Conf. Commun., 2003, vol. 2, pp. 437-441.
22. C. W. Tao and J.-S. Taur, "Flexible complexity reduced PID-like fuzzy controllers," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 30, no. 4, pp. 510-516, Aug. 2000.