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Adaptive control of nonlinear systems using fuzzy systems
1. | Dep. of Elec. Eng., Higher Technological Institute, Ramadan 10th City, Egypt |
References:
[1] |
N. Ahmed, "Elements of Finite Dimensional Systems and Control Theory," Pitman Monographs and Surveys in Pure and Applied Mathematics, 37, Longman Scientific and Technical, Harlow; John Wiley & Sons, Inc., New York, 1988. |
[2] |
M. Alata and K. Demirli, Adaptive control of a class of nonlinear systems with first order Parameterized Sugeno fuzzy approximator, IEEE Trans. on Syst., Man and Cybern., Part C, (2001), 410-419. |
[3] |
G. Cybenko, Approximation by superposition of sigmoidal functions, Math. Contr. Signals Syst., 2 (1989), 303-314.
doi: 10.1007/BF02551274. |
[4] |
T. Dabbous, Filtering of linear partially observed stochastic systems: The fuzzy logic approach, Dynamic and Contr., 11 (2001), 315-331.
doi: 10.1023/A:1020898203511. |
[5] |
T. Dabbous, Fuzzy optimal control for bilinear stochastic systems with fuzzy parameters, Dynamic and Contr., 11 (2001), 243-259.
doi: 10.1023/A:1015224002970. |
[6] |
T. Dabbous and M. Bayoumi, Optimal control for partially observed nonlinear deterministic systems with fuzzy parameters, Dynamic and Contr., 11 (2001), 353-370.
doi: 10.1023/A:1020867121258. |
[7] |
A. Fradkov, Speed-gradient scheme and its applications in adaptive control, Aut. Remote Control, 40 (1979), 1333-1342. |
[8] |
F. Girosi and T. Poggio, Network and best approximation property, Biol. Cybern., 63 (1990), 169-179.
doi: 10.1007/BF00195855. |
[9] |
T. Johansen and B. Foss, Constructing NARMAX models using ARMAX models, Int. J. Contr., 58 (1993), 1125-1153.
doi: 10.1080/00207179308923046. |
[10] |
T. Johansen and P. Ioannu, Robust adaptive control of minimum phase nonlinear systems, Adaptive Control Signal Processing, 10 (1996), 61-78.
doi: 10.1002/(SICI)1099-1115(199601)10:1<61::AID-ACS387>3.0.CO;2-H. |
[11] |
L. Karsenti, Adaptive tracking strategy for a class of nonlinear systems, IEEE Trans. on Aut. Contr., 43 (1998), 1272-1279. |
[12] |
M. Krstic and L. Kanellakopoulos, "Nonlinear Adaptive Control Design," Wiely, New York, 1995. |
[13] |
Panteley E. Loria, A. and H. Nijmeijer, Control of chaotic duffin equation with uncertainty in all parameters, IEEE Trans. on Circuit Sys., 45 (1998), 1252-1255.
doi: 10.1109/81.736558. |
[14] |
R. Marino and P. Tomel, Global adaptive feedback control of nonlinear systems: Part II: Nonliear parameterization, IEEE Trans. Aut. Control, 38 (1993), 17-48.
doi: 10.1109/9.186309. |
[15] |
R. Marino and P. Tomel, "Nonlinear Adaptive Control Design: Geometric, Adaptive and Robust," Prentic-Hall, London, 1995. |
[16] |
A. Morris and A Montague, Artificial neural networks: Studies in process modeling and control, Trans. ICHEME, 70, Part A, (1994), 3-19. |
[17] |
J. Park and T. Sandberg, Universal approximation using radial function networks, Neural Comp., 3 (1991), 246-257.
doi: 10.1162/neco.1991.3.2.246. |
[18] |
T. Takagi and M. Sugeno, Fuzzy identification of systems and its application to modeling and control, IEEE Trans. on Sys., Man and Cybern., SMC-15, (1985), 116-132. |
[19] |
L. Wang, "Adaptive Fuzzy Systems and Control," Prentice-Hall, New Jersey, 1994. |
[20] |
L. Wang and J. Mendel, Back propagation fuzzy system as nonlinear system identifier, Proc. IEEE Int. Conf. on Fuzzy Systems, (1992), 1409-1419. |
[21] |
A. Yesidirek and F. Lewis, Feedback linearization using neural networks, Automatica, 31 (1995), 1659-1664.
doi: 10.1016/0005-1098(95)00078-B. |
[22] |
T. Zhang and C. Hang, Adaptive control of first order systems with nonlinear parameterization, IEEE Trans. Aut. Control, 45 (2000), 1512-1516.
doi: 10.1109/9.871761. |
show all references
References:
[1] |
N. Ahmed, "Elements of Finite Dimensional Systems and Control Theory," Pitman Monographs and Surveys in Pure and Applied Mathematics, 37, Longman Scientific and Technical, Harlow; John Wiley & Sons, Inc., New York, 1988. |
[2] |
M. Alata and K. Demirli, Adaptive control of a class of nonlinear systems with first order Parameterized Sugeno fuzzy approximator, IEEE Trans. on Syst., Man and Cybern., Part C, (2001), 410-419. |
[3] |
G. Cybenko, Approximation by superposition of sigmoidal functions, Math. Contr. Signals Syst., 2 (1989), 303-314.
doi: 10.1007/BF02551274. |
[4] |
T. Dabbous, Filtering of linear partially observed stochastic systems: The fuzzy logic approach, Dynamic and Contr., 11 (2001), 315-331.
doi: 10.1023/A:1020898203511. |
[5] |
T. Dabbous, Fuzzy optimal control for bilinear stochastic systems with fuzzy parameters, Dynamic and Contr., 11 (2001), 243-259.
doi: 10.1023/A:1015224002970. |
[6] |
T. Dabbous and M. Bayoumi, Optimal control for partially observed nonlinear deterministic systems with fuzzy parameters, Dynamic and Contr., 11 (2001), 353-370.
doi: 10.1023/A:1020867121258. |
[7] |
A. Fradkov, Speed-gradient scheme and its applications in adaptive control, Aut. Remote Control, 40 (1979), 1333-1342. |
[8] |
F. Girosi and T. Poggio, Network and best approximation property, Biol. Cybern., 63 (1990), 169-179.
doi: 10.1007/BF00195855. |
[9] |
T. Johansen and B. Foss, Constructing NARMAX models using ARMAX models, Int. J. Contr., 58 (1993), 1125-1153.
doi: 10.1080/00207179308923046. |
[10] |
T. Johansen and P. Ioannu, Robust adaptive control of minimum phase nonlinear systems, Adaptive Control Signal Processing, 10 (1996), 61-78.
doi: 10.1002/(SICI)1099-1115(199601)10:1<61::AID-ACS387>3.0.CO;2-H. |
[11] |
L. Karsenti, Adaptive tracking strategy for a class of nonlinear systems, IEEE Trans. on Aut. Contr., 43 (1998), 1272-1279. |
[12] |
M. Krstic and L. Kanellakopoulos, "Nonlinear Adaptive Control Design," Wiely, New York, 1995. |
[13] |
Panteley E. Loria, A. and H. Nijmeijer, Control of chaotic duffin equation with uncertainty in all parameters, IEEE Trans. on Circuit Sys., 45 (1998), 1252-1255.
doi: 10.1109/81.736558. |
[14] |
R. Marino and P. Tomel, Global adaptive feedback control of nonlinear systems: Part II: Nonliear parameterization, IEEE Trans. Aut. Control, 38 (1993), 17-48.
doi: 10.1109/9.186309. |
[15] |
R. Marino and P. Tomel, "Nonlinear Adaptive Control Design: Geometric, Adaptive and Robust," Prentic-Hall, London, 1995. |
[16] |
A. Morris and A Montague, Artificial neural networks: Studies in process modeling and control, Trans. ICHEME, 70, Part A, (1994), 3-19. |
[17] |
J. Park and T. Sandberg, Universal approximation using radial function networks, Neural Comp., 3 (1991), 246-257.
doi: 10.1162/neco.1991.3.2.246. |
[18] |
T. Takagi and M. Sugeno, Fuzzy identification of systems and its application to modeling and control, IEEE Trans. on Sys., Man and Cybern., SMC-15, (1985), 116-132. |
[19] |
L. Wang, "Adaptive Fuzzy Systems and Control," Prentice-Hall, New Jersey, 1994. |
[20] |
L. Wang and J. Mendel, Back propagation fuzzy system as nonlinear system identifier, Proc. IEEE Int. Conf. on Fuzzy Systems, (1992), 1409-1419. |
[21] |
A. Yesidirek and F. Lewis, Feedback linearization using neural networks, Automatica, 31 (1995), 1659-1664.
doi: 10.1016/0005-1098(95)00078-B. |
[22] |
T. Zhang and C. Hang, Adaptive control of first order systems with nonlinear parameterization, IEEE Trans. Aut. Control, 45 (2000), 1512-1516.
doi: 10.1109/9.871761. |
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