Geometric approach to nonlinear adaptive control

SACI 2007: 4th International Symposium on Applied Computational Intelligence and Informatics - Proceedings

Volumn , Issue , 2007, Pages 9-23

  Tar, József K ^a   Rudas, Imre J ^a  

^a OBUDA UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; ROBUST CONTROL;

NONLINEAR CONTROL; SINGLE INPUT SINGLE OUTPUT (SISO) SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 34748864109     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SACI.2007.375477     Document Type: Conference Paper

References (50)

1. Joseph-Louis Lagrange: Mécanique Analytique (Analytical Mechanics) (4. ed., 2 vols. Paris: Gauthier-Villars et fils, 1888-1889. (First Edition in 1788)
2. W.R. Hamilton: "On a General Method in Dynamics", Philosophical Transaction of the Royal Society Part I (1834) p.247-308; Part II (1835) p. 95-144. (From the collection Sir William Rowan Hamilton (1805-1865): Mathematical Papers edited by David R. Wilkins, School of Mathematics, Trinity College, Dublin 2, Ireland. (2000); also reviewed as On a General Method in Dynamics)
3. H. Grassmann: Die Lineale Ausdehnungslehre, ein neuer Zweig der Mathematik. Collected Works, 1894-1911.
4. W.K. Clifford: Preliminary Sketch of Biquaternions, (1873)
5. M.S. Lie: On a class of geometric transformations. Ph.D. Dissertation, University of Christiania, 1872.
6. J. Madar, J. Abonyi, F. Szeifert: Engineering Applications of Artificial Intelligence, 18:343-351
7. B. Armstrong, O. Khatib, J. Burdick: The Explicit Dynamic Model and Internal Parameters of the PUMA 560 Arm, in Proc. IEEE Conf. On Robotics and Automation, pp. 510-518, 1986.
8. H.K. Khalil: Nonlinear systems. 2nd ed. Prentice Hall: Upper Saddle River; 1996.
9. B. Goodwine, & G. Stepan: Controlling unstable rolling phenomena. Journal of Vibration and Control 2000, 6:137-158.
10. th Order System Using Coordinate and Velocity Potentials. In proc. 3rd IEEE International Conference on Mechatronics, July 3-5, 2006, Budapest, Hungary (ICM 2006), pp. 513-518.
11. J.K. Tar, I.J. Rudas: Sophisticated Dynamic Adaptive Control of a Polymerization Process. Proc. of the 7th International Symposium of Hungarian Researchers on Computational Intelligence, November 24-25, 2006, Budapest, Hungary, pp. 107-120
12. A.M. Lyapunow: A general task about the stability of motion, PhD Thesis, 1892 (in Russian)
13. A.M. Lyapunov: Stability of motion, Academic Press, New-York and London, 1966
14. Jean-Jacques E. Slotine, W. Li: Applied Nonlinear Control. Prentice Hall International, Inc., Englewood Cliffs, New Jersey, 1991.
15. nd International Congress of Mathematicians, Paris, France, 1900.
16. V.I. Arnold, "Doklady Akademii Nauk USSR" (in Russian), 114:679-68
17. A.N. Kolmogorov, "Doklady Akademii Nauk USSR" (in Russian), 114:953-956
18. J.P. De Figueiredo, IEEE Tr. Autom. Control, 25(6): 1227-1231
19. K. Hornik, M. Stinchcombe, and H. White: Neural Networks, 2:359-366
20. E.K. Blum and L.K. Li, Neural Networks, 4(4):511-515
21. V. Kurková, Neural Networks, 5:501-506
22. L.X. Wang, "Fuzzy systems are universal approximators", Proc. of the IEEE Int. Conf. on Fuzzy Systems, San Diego, USA, California, 8-12 Mar 1992, pp. 1163-1169
23. B. Kosko, IEEE Trans. on Computers, 43(11):1329-1333
24. J.L. Castro, IEEE Trans. on SMC, 25:629-635
25. B. Moser: Fuzzy Sets and Systems, 104(2):269-277
26. D. Tikk, Tatra Mountains Math. Publ., 16:369-377
27. E.P. Klement, L.T. Kóczy, B. Moser, Int. J. General Systems, 28(2):259-282
28. D. Tikk, P. Baranyi, J. Patton, "Polytopic and TS model are nowhere dense in the approximation model space", Proc. of IEEE Int. Conf. on Systems, Man and Cybernetics SMC 2002, Hammamet, Tunisia, October 69, pp. 150-153
29. P. Baranyi, L. Szeidl, P. Várlaki, and Y. Yam. Definition of the HOSVD-based canonical form of polytopic dynamic models. In 3rd International Conference on Mechatronics (ICM 2006), Budapest, Hungary, July 3-5 2006, pp. 660-665.
30. P. Baranyi, L. Szeidl, P. Várlaki, and Y. Yam. Numerical reconstruction of the HOSVD based canonical form of polytopic dynamic models. In 10th International Conference on Intelligent Engineering Systems, London, UK, June 26-28 2006, pp. 196-201.
31. P. Gahinet, P. Apkarian, and M. Chilali. Affine parameter-dependent Lyapunov functions for real parametric uncertainty. In Proceedings of Conference on Decision Control, pp. 2026-2031, 1994.
32. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in Systems and Control Theory. SIAM books, Philadelphia, 1994.
33. J. Bokor, P. Baranyi, P. Michelbereger, and P. Varlaki. Tp model transformation in non-linear system control. In 3rd IEEE International Conference on Computational Cybernetics (ICCC), Mauritius, 13-16 April 2005, pp. 111-119.
34. P. Gáspár and J. Bokor. Progress in system and robot analysis and control design. Springer, 1999.
35. D. Tikk, P. Baranyi,R.J. Patton, I. Rudas, and J.K. Tar: Design methodology of tensor product based control models via HOSVD and LMIs. In Proc. of the IEEE International Conference on Industrial Technology (ICIT 2002), Bangkok, Thailand, December 1.114, 2002, II: pp. 1290-1295
36. Z. Petres: Polytopic Decomposition of Linear Parameter-Varying Models by Tensor-Product Model Transformation. PhD Dissertation, Budapest University of Technology and Economics, 2007.
37. Gy. Schuster,"Fuzzy Approach of Backward Identification of Quasi-linear and Quasi-time-invariant Systems", Proc. of the 11th International Workshop on Robotics in Alpe-Adria-Danube Region (RAAD 2002), June 30-July 2 2002, Balatonfüred, Hungary, pp. 43-50
38. Gy. Schuster, "Adaptive Fuzzy Control of Thread Testing Furnace", Proc. of the ICCC 2003 IEEE International Conference on Computational Cybernetics, August 29-31, Gold Coast, Lake Balaton, Siófok, Hungary, pp. 299-304
39. Gy. Schuster, "Improved Method of Adaptive Fuzzy Control of a Thread Testing Furnace", Proc. of the 2006 IEEE International Conference on Computational Cybernetics (ICCC 2006), Tallinn, Estonia, August 20-22, 2006, pp.125-129
40. Gy. Hermann, "Application of Neural Network Based Sensor Fusion in Drill Monitoring", Proc. of Symposium on Applied Machine Intelligence (SAMI 2003), Herl'any, Slovakia, February 12-14, 2003, pp.11-24
41. J. Tick and J. Fodor, "Some classes of binary operations in approximate reasoning", Proc. of the 2005 IEEE International Conference on Intelligent Engineering Systems, (INES '05), Sept. 16-19, 2005, pp. 123-128
42. J. Tick and J. Fodor, "Fuzzy Implications and Inference Processes", Computing and Informatics 24(6):591-602
43. I.J. Rudas, M.O. Kaynak, Fuzzy Sets and Systems, 98(1):83-94
44. I.J. Rudas, Intl. Journal of Fuzzy Systems 2(4):236-243
45. K. Weierstraß, "Über continuirliche Functionen eines reellen Arguments, die für keinen Werth des letzeren einen bestimmten Differentialquotienten besitzen. A paper presented to the 'Königliche Akademie der Wissenschaften' on 18 of July 1872. English translation available in: On continuous functions of a real argument that do not have a well-defined differential quotient, in: G.A. Edgar, Classics on Fractals, Addison-Wesley Publishing Company, 1993, 3-9.
46. J.K. Tar, "Dynamic Nonlinear Control of Mechanical and Analogous Devices/Processes", Invited plenary lecture at the IEEE International Conference on Computational Cybernetics (ICCC 2006), Tallinn, Estonia, August 20-22, 2006.
47. József K. Tar, Imre J. Rudas, Ágnes Szeghegyi and Krzysztof Kozłowski: Novel Adaptive Control of Partially Modeled Dynamic Systems, Lecture Notes in Control and Information Sciences, Springer Berlin/Heidelberg, Robot Motion and Control: Recent Development, Part II - Control and Mechanical Systems, Ed. Krzysztof Kozlowski, Volume 335 / 2006, pp. 99 111, ISBN: 1-84628-404-X.
48. József K. Tar: Extension of the Modified Renormalization Transformation for the Adaptive Control of Negative Definite SISO Systems. Proc. of the 2nd Romanian-Hungarian Joint Symposium on Applied Computational Intelligence (SACI 2005), May 12-14, 2005, Timişoara, Romania, pp. 447-457.
49. T. Roska: Development of Kilo Real-time Frame Rate TeraOPS Computational Capacity Topographic Microprocessors. Plenary Lecture at 10th International Conference on Advanced Robotics (ICAR 2001), Budapest, Hungary, August 22-25, 2001.
50. J.K. Tar, I.J. Rudas, J.F. Bitó, L. Horváth, K. Kozłowski: Analysis of the Effect of Backlash and Joint Acceleration Measurement Noise in the Adaptive Control of Electro-mechanical Systems. In Proc. of the 2003 IEEE International Symposium on Industrial Electronics (ISIE 2003), June 9-12, 2003, Rio de Janeiro, Brasil, CD issue, file BF-000965.pdf