Modelling and robust control of uncertain dynamical systems using fuzzy set theory

International Journal of Control

Volumn 68, Issue 6, 1997, Pages 1367-1396

  Ghalia, Mounir Ben ^a  

^a Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; FUZZY SETS; ROBOTIC ARMS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

SLIDING MODE CONTROL;

NONLINEAR CONTROL SYSTEMS;

EID: 0031375068     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071797223073     Document Type: Article

References (27)

1. Aubin, J.-P., 1991, Viability Theory (Boston, MA: Birkhâuser).
2. Ben Ghalia, M., 1996, On the decomposition of lr-fuzzy numbers. Technical report. Duke University, Durham, NC.
3. Ben Ghalia, M., and Alouani, A. T., 1995, A fuzzy variable structure approach to feedback regulation of uncertain dynamical systems, with application to robotics. Information Sciences-Intelligent Systems, 85(4), 241-273.
4. Chapman, J. W., Ilic, M. D., King, C. A., Eng, L., and Kaufman, H., 1993, Stabilizing a multi-machine power system via decentralized feedback linearizing excitation control. IEEE Transactions on Power Systems, 8(3), 830-839.
5. Corless, M., and Leitmann, G., 1981, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems. IEEE Transactions on Automatic Control, 26, 1139-1144.
6. Dahleh, M. A., and Diaz-Bobillo, I. J., 1995, Control of Uncertain Systems: A Linear Programming Approach (Englewood Cliffs, New Jersey U.S.A.: Prentice Hall).
7. Dubois, D., and Prade, H., 1978, Operations on fuzzy numbers. International Journal of Systems Science, 9(6), 613-626.
8. Dwyer, T. A. W., 1986. Exact nonlinear control of spacecraft slewing maneuvers with internal momentum transfer. Journal of Guidance, Control, and Dynamics, 9, 240-247.
9. ∞ Control Theory (Berlin: Springer-Verlag).
10. Goodall, D. P., and Ryan, E. P., 1988, Feedback controlled differential inclusions and stabilization of uncertain dynamical systems. SIAM Journal on Control and Optimization, 26(6), 1431-1441.
11. Gutman, S., 1976, Uncertain dynamical systems-Lyapunov min-max approach. IEEE Transactions on Automatic Control, 24, 437-443.
12. Haddad, G., 1981, Monotone viable trajectories for functional differential inclusions. Journal of Differential Equations, 1-24.
13. Isidori, A., 1989, Nonlinear Control Systems: an Introduction (Berlin: Springer-Verlag).
14. Jain, R., 1976, Outline of an approach for the analysis of fuzzy systems. International Journal of Control, 23(5), 627-640.
15. Kaleya, O., 1987, Fuzzy differential equations. Fuzzy Sets and Systems, 24, 301-317.
16. Khalil, H. K., 1992, Nonlinear Systems (New York: Macmillan).
17. Lewis, F. L., Abdallah, C. T., and Dawson, D. M., 1993, Control of Robot Manipulators (New York: Macmillan).
18. Maciejowski, J. M., 1989, Multivariable Feedback Design (Wokingham, U.K.: Addison-Wesley).
19. Meyer, G., Su, R., and Hunt, L. R., 1984. Application of nonlinear transformation to automatic flight control. Automatica, 20, 103-107.
20. Morgan, G. R., and Ozguner, Ü., 1985, A decentralized variable structure control algorithm for robotic manipulators. IEEE Journal of Robotics and Automation, 1(1), 57-65.
21. Oden, J. T., 1979, Applied Functional Analysis (Englewood Cliffs, New Jersey, U.S.A.: Prentice-Hall).
22. Qu, Z., 1995, Robust control of nonlinear uncertain systems without generalized matching conditions. IEEE Transactions on Automatic Control, 40(8), 1453 1460.
23. Slotine, J.-J. E., and Sastry, S. S., 1983, Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators. International Journal of Control, 38, 465-492.
24. Tarn, T. J., Bejczy, A. K., Isidori, A., and Chen, Y., 1984, Nonlinear feedback in robot arm control. Proceedings of 23rd IEEE Conference on Decision and Control, Las Vegas, NV, 12-14 December.
25. Yager, R. R., and Filev, D. P., 1994, Essentials of Fuzzy Modeling and Control (New York, U.S.A.: Wiley Interscience).
26. Zadeh, L. A., 1965, Fuzzy sets. Information and Control, 8, 338-353; 1971, Toward a theory of fuzzy systems. Aspects ofNetwork and Systems Theory, edited by R. E. Kalman and N. De Claris, pp. 469-490.
27. Zimmerman, H.-J., 1985, Fuzzy Set Theory and Its Applications (Kluwer Academic).