Optimal control of non-linear systems through hybrid cell-mapping/artificial-neural-networks techniques

International Journal of Adaptive Control and Signal Processing

Volumn 13, Issue 4, 1999, Pages 307-319

  Martínez Marín, Tomás ^a   Zufiria, Pedro J ^b  

^a UNIVERSIDAD EUROPEA DE MADRID   (Spain)

^b Ciudad Universitaria s n   (Spain)

Author keywords

Cell mapping; Neural networks; Non linear systems; Optimal control

Indexed keywords

EID: 0038949308     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1115(199906)13:4<307::AID-ACS545>3.0.CO;2-B     Document Type: Article

References (19)

1. Sciavicco, L. and B. Siciliano, Modeling and Control of Robot Manipulators, McGraw-Hill, New York, 1996.
2. Shin, K. G. and N. D. Mckay, 'A Dynamic Programming Approach to Trajectory Planning of Robotic Manipulators', IEEE Trans. Automat. Control, 31, 491-500 (1986).
3. Bryson, A. E. and Y. C. Ho, Applied Optimal Control, Hemisphere, New York, 1975.
4. Lewis, F. L., Optimal Control, Wiley, New York, 1986.
5. Hsu, C. S., Cell-to-Cell Mapping: A Method of Global Analysis of Dynamical Systems, Springer, New York, 1987.
6. Hsu, C. S. and R. S. Guttalu, 'An unravelling algorithm for global analysis of dynamical systems: an application of cell-to-cell mapping', J. Appl. Mech., 47, 940-948 (1980).
7. Hsu, C. S. 'A discrete method of optimal control based upon the cell state space concept', J. Optim. Theory Appl., 46, 547-569 (1985).
8. Papa, M., H. M. Tai and S. Shenoi, 'Cell mapping for controller design and evaluation', IEEE Control Systems Mag., 17, 52-65 (1997).
9. Smith, S. M. and D. J. Comer, 'Automated calibration of a fuzzy logic controller using a cell state space algorithm', IEEE Control Systems Mag., 11, 18-28 (1991).
10. Smith, S. M. and D. J. Comer, 'An algorithm for automated fuzzy logic controller tuning', Proc. IEEE Int. Conf. on Fuzzy Systems, 1992, pp. 615-622.
11. Vachtsevanos, G., S. S. Farinwata and D. K. Pirovolou, 'Fuzzy logic control of an automotive engine', IEEE Control Systems Mag., 13, 62-68 (1993).
12. Zufiria, P. J. and R. S. Guttalu, 'The adjoining cell mapping and its recursive unraveling, part I: description of adaptive and recursive algorithms', Nonlinear Dyn., 4, 204-226 (1993).
13. Guttalu, R. S. and P. J. Zufiria, 'The adjoining cell mapping and its recursive unraveling, Part II: Application to selected problems', Nonlinear Dyn., 4, 309-336 (1993).
14. Martinez, T. and P. J. Zufiria, 'Robot Arm Optimal Control through Hybrid Cell-Mapping/Neural Techniques', Proc. Int. Conf. on Engineering Applications of Neural Networks, 1997, pp. 95-98.
15. Chen, Y. Y. and T. C. Tsao, 'A Description of the Dynamical Behavior of Fuzzy Systems', IEEE Trans. Systems Man Cybernet., 19, 745-755 (1989).
16. Narendra, K. S., J. Balakrishnan and M. K Ciliz, 'Adaptation and learning using multiple models, switching, and tuning', IEEE Control Systems Mag., 15, 37-52 (1995).
17. Zurada, J. M., Introduction to Artificial Neural Systems, West Publishing Company, 1992.
18. Barron, A. R., 'Universal Approximation Bounds for Superpositions of a Sigmoidal Function', IEEE Trans. Inform. Theory, 39, 930-945 (1993).
19. Haykin, S., Neural Networks. A Comprehensive Foundation, Macmillan Publishing Company, New York, 1994.