Stability analysis of an adaptive fuzzy control system using Petri Nets and learning automata

Mathematics and Computers in Simulation

Volumn 51, Issue 3-4, 2000, Pages 315-339

  Tzafestas, S G ^a   Rigatos, G G ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Adaptive fuzzy control; Discrete event systems; Finite state automata; Hybrid intelligent control; Lyapunov stability theory; Petri Nets; Sliding mode control; Supervisory control

Indexed keywords

EID: 0346107521     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(99)00127-5     Document Type: Article

References (23)

1. R.E. Kalman, P.L. Falb, M.A. Arbib, Topics in Mathematical System Theory, McGraw-Hill, New York, 1969.
2. P.J. Ramadge, W.M. Wohnam, Supervisory control of a class of discrete event processes, SIAM J. Contr. Optimization 25(1) (1987) 206-230.
3. S.G. Tzafestas, G.G. Rigatos, A simple robust fuzzy-logic sliding-mode controller of the diagonal type, in: Proc. 3rd IEEE/IFIP Int. Conf. BASYS '98, Prague, 1998.
4. S.C. Lin, C.C. Kung, Linguistic fuzzy sliding mode controller, in: Proc. 1992 Am. Contr. Conf, Chicago, IL, pp. 1904-1905.
5. J.C. Wu, T.S. Liu, A sliding-mode approach to fuzzy control design, IEEE Trans. Contr. Syst. Technol. 4(2) (1996) 141-151.
6. R. Palm, D. Driankov, H. Hellendoorn, Model Based Fuzzy Control, Springer, Berlin, 1996, pp. 75-113.
7. J.E. Slotine, W. Li, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ, 1991.
8. L.X. Wang, Adaptive Fuzzy Systems and Control: Design and Stability Analysis, Prentice Hall, Englewood Cliffs, NJ, 1994, pp. 9-28.
9. K. Passino, K. Burgess, Stability Analysis of Discrete Event Systems, Wiley, New York, 1998.
10. J.-M. Proth, X. Xie, Petri Nets: A Tool for Design and Management of Manufacturing Systems, Wiley, 1996.
11. J.L. Peterson, Petri Net Theory and The Modeling of Systems, Prentice-Hall, Englewood Cliffs, NJ, 1981.
12. S.G. Tzafestas, Knowledge-Based System Diagnosis, Supervision and Control, Plenum Press, New York, London, 1989.
13. S.G. Tzafestas, H.B. Verbruggen, Artificial Intelligence in Industrial Decision Making, Control and Automation, Kluwer Academic Publishers, Dordrecht, Boston, 1994.
14. S.G. Tzafestas, Expert Systems in Engineering Applications, Springer, Berlin, 1993.
15. K. Passino, A. Mitchel, P. Antsaklis, Lyapunov stability of a class of discrete event systems, IEEE Trans. Automatic Contr. 37 (1994) 269-279.
16. C. Reutenauer, Non commuting variables: finite automata, in: M.G. Singh (Ed.), Systems and Control Encyclopedia, Pergamon Press, Oxford, 1987, pp. 3268-3272.
17. M. Jafari, Introduction to Petri Nets in flexible and agile automation, in: M. Zhou (Ed.), Petri Nets in Flexible and Agile Automation, Kluwer Academic Publishers, Dordrecht, 1995.
18. K.S. Narendra, M.A. Thathachar, Learning Automata: an Introduction, Prentice Hall, Englewood Cliffs, NJ, 1989.
19. S.G. Tzafestas, E. Kyriannakis, G. Rigatos, Adaptive, model based predictive and neural control of the welding process, in: S.G Tzafestas (Ed.), Methods and Applications of Intelligent Control, Kluwer Academic Publishers, Dordrecht, 1997, pp. 509-548.
20. G.G. Rigatos, C.S. Tzafestas, S.G. Tzafestas, Robust fuzzy-logic velocity control of a mobile robot for moving obstacles avoidance, in: Proc. 2nd IMACS CCSC Conf., vol. 1, Piraeus, Gveece 1998, pp. 1-8.
21. S.G. Tzafestas, M.P. Tzamtzi, G.G. Rigatos, Robust control and motion design for mobile robots in a time-varying environment, in: Proc. CESA '96 IMACS Multiconference Proceedings, Lille-France, 1996, pp. 706-712.
22. S.G. Tzafestas, K. Blekas, Hybrid soft computing systems: a critical survey with applications, The Knowledge Engineering Review, in press.
23. P. Antsaklis, W. Kohn, A. Nerode, S. Sastry, Hybrid Systems II. Lecture Notes in Computer Science, LNCS 999, Springer, New York, 1995.