References
- W. A. Porter, 'Diagonalization and inverses of nonlinear system,' Internatio- nal Journal of Control, vol. 11, pp. 67-76, 1970 https://doi.org/10.1080/00207177008905882
- E. Freund, 'Decoupling and pole assignment in nonlinear systems,' Electronics Letters, vol. 9, pp. 373-374, 1973 https://doi.org/10.1049/el:19730275
- A. J. Krener, 'On the equivalence of control systems and the linearization of nonlinear systems,' SIAM J. Control, vol. 11, pp. 670-679, 1973 https://doi.org/10.1137/0311051
- A. J. Krener, 'Linearization and bilinearization of control systems,' in Proc. 1974 Allerton Conf. Circuits and System Theory, 1974
- R. W. Brockett, 'Feedback invariants for nonlinear systems,' IFAC Congress, Helsinki, 1978
- R. W. Brockett, 'Nonlinear systems and differential geometry,' Proc. of the IEEE, vol. 64, pp. 61-72, 1976 https://doi.org/10.1109/PROC.1976.10067
- A. Isidori, A. J. Krener, C. Gori-Giogi, and S. Manaco, 'Nonlinear decoupling via feedback: A differential geometric approach,' IEEE Trans. Autom. Control, vol. 26, pp. 331-345, 1981 https://doi.org/10.1109/TAC.1981.1102604
- A. Isidori, A. J. Krener, C. Gori-Giorgi and S. Monaco, 'Locally (f,g) invariant distributions', Systems & Control Letters, vol. 1, pp. 12-15, 1981 https://doi.org/10.1016/S0167-6911(81)80005-9
- H. J. Sussmann, 'Lie brackets, real analyticity and geometric control,' Differential Geometric Control Theory, R. W. Brockett, et al. (ed), Boston: Birkhauser, pp. 1-116, 1983
- R. Su, 'On the linear equivalents of nonlinear systems,' Systems & Control Letters, vol. 2, pp. 48-52, 1982 https://doi.org/10.1016/S0167-6911(82)80042-X
- L. R. Hunt, R. Su, and G. Meyer, 'Design for multi-input nonlinear system,' in Differential Geometric Control Theory, R.W. Brockett, et al. (ed), Boston: Birkhauser, pp. 268-293, 1983
- B. Jakubzyk and W. Respondek, 'On the linearization of control systems,' Bull. Acad. Polon. Sci. Ser. Math. Astron. Physics, vol. 28, pp. 517-522, 1980
- A. Isidori, Nonlinear Control Systems, 3rd ed., Springer-Verlag London Ltd., 1995
- H. Nijmeijer and A. van der Schaft, Nonlinear Dynamical Control Systems, Springer-Verlag New York Inc., 1990
- R. Marino and P. Tomei, Nonlinear Control Design, Prentice-Hall, 1995
- 이홍기, 비선형 제어 시스템의 선형화, 중앙대학교 출판부, 2001
- J. W. Grizzle, 'Feedback linearization of discrete-time systems,' in Lecture Notes in Control and Information Sciences, Springer-Verlag, vol. 83, pp. 273-281, 1986
- H.G. Lee and S.I. Marcus, 'Approximate and local linearizability of nonlinear discrete-time systems,' International Journal of Control, vol. 44, pp. 1103-1124, 1986 https://doi.org/10.1080/00207178608933653
- H. G. Lee, A. Arapostathis, and S. I. Marcus, 'On the linearization of discrete-time systems,' International Journal of Control, vol. 45, pp. 1803-1822, 1987 https://doi.org/10.1080/00207178708933847
- B. Jakubczyk, 'Feedback linearization of discrete-time systems,' Systems & Control Letters, vol. 9, pp. 411-416, 1987 https://doi.org/10.1016/0167-6911(87)90070-3
- J.W. Grizzle and P.V. Kokotovic, 'Feedback linearization of sampled-data systems,' IEEE Trans. Autom. Control, vol. 33, pp. 857-859, 1988 https://doi.org/10.1109/9.1316
- K. Nam, 'Linearization of discrete-time nonlinear systems and a canonical structure,' IEEE Trans. on AC, vol. 34, pp. 119-122, 1989 https://doi.org/10.1109/9.8665
- L. R. Hunt, M. Luksic, and R. Su, 'Exact linearization of input-output systems,' Int. J Control, vol. 43, pp. 247-255, 1986 https://doi.org/10.1080/00207178608933461
- I.-J. Ha and S.-J. Lee, 'Input-output linearization with state equivalence and decoupling,' IEEE Trans. on AC, vol. 39, pp. 2269-2274, 1994 https://doi.org/10.1109/9.333774
- E. Freund, 'Fast nonlinear control with arbitrary pole-placement for industrial robots and manipulators,' in Robot Motion, ed. by Brady, Hollerbach, Johnson, Lozano-Perez, and Mason, MIT Press, Cambridge, MA, 1982
- H. Ha, A. Tugcu, and N. Boustany, 'Feedback linearizing control of vehicle longitudinal acceleration,' IEEE Trans. Automat. Contr., vol. 34, pp. 689-698, 1989 https://doi.org/10.1109/9.29395
- R. Hunt, R. Su, and G. Meyer, 'Application of nonlinear transformations to automatic flight control,' Automatica, vol. 20, pp. 103-107, 1984 https://doi.org/10.1016/0005-1098(84)90069-4
- M. Ilic and F. Mak, ' A new class of fast nonlinear voltage controller sandtheir impact on improved transmission capacity,' in Proc. Amer. Contr. Conf., 1989
- J. Spong, R. Marino, S. Persada, and D. Taylor,'Feedback linearizing controls of switched reluctance motors,' IEEE Trans. Automat. Contr., vol. 32, pp. 371-374, 1987 https://doi.org/10.1109/TAC.1987.1104616
- T. Tam., A. Bejczy, A. Isidori, Y. Chen, ' Nonlinear feedback in robot arm control,' in Proc. 23rd IEEE Conf. Decision Contr., Las Vegas, NY, pp. 736-751, 1984 https://doi.org/10.1109/CDC.1984.272107
- T. J. Tam, A. K. Bejczy, and X. Yun, 'Coordinated control of two robot arms,' Proceedings of 25th IEEE Conference on Decision and Control, Athens, Greece, pp. 1193-1202, 1986 https://doi.org/10.1109/ROBOT.1986.1087606
- A. Arapostathis, B. Jakubczyk, H. G. Lee, S. I. Marcus, and E.D. Sontag, 'The effect of sampling on linear equivalence and feedback linearization,' System & Control Letters, vol. 13, pp. 373-381, 1989 https://doi.org/10.1016/0167-6911(89)90103-5
- J. P. Barbot, S. Monaco, and D. Normand-Cyrot, 'Discrete-time approximated linearization of SISO systems under output feedback,' IEEE Trans. On Automatic Control, vol. 44, pp. 1729-1733, 1999 https://doi.org/10.1109/9.788541
- W. M. Boothby, 'Some comments on global linearization of nonlinear system,' Systems & Control Letters, vol. 4, pp. 147-147, 1984 https://doi.org/10.1016/S0167-6911(84)80016-X
- R. B. Gardner, W. F. Shadwick, 'The GS algorithm for exact linearization to Brunovsky normal form,' IEEE Trans. on Automatic Control, vol. 37, pp. 224-230, 1992 https://doi.org/10.1109/9.121623
- A. J. van der Schaft, 'Linearization and input-output decoupling for general nonlinear systems,' Systems & Control Letters, vol. 5, pp. 27-33, 1984 https://doi.org/10.1016/0167-6911(84)90005-7
- A. J. Krener, 'Approximate linearization by state feedback and coordinate change,' System & Control Letters, vol. 5, pp. 181-185, 1984 https://doi.org/10.1016/S0167-6911(84)80100-0
- R. Marino, 'On the largest feedback linearizable subsystem,' System & Control Letters, vol. 6, pp. 345-351, 1986 https://doi.org/10.1016/0167-6911(86)90130-1
- Z. Sun and X. Xia, 'On nonregular feedback linearization,' Automatica, vol. 33, pp. 1339-1344, 1997 https://doi.org/10.1016/S0005-1098(97)00030-7
- S. S. Ge, Z. Sun, and T. H. Lee, 'Nonregular feedback linearization for a class of second-order nonlinear systems,' Automatica, vol. 37, pp. 1819-1824, 2001 https://doi.org/10.1016/S0005-1098(01)00129-7
- D. Cheng, X. Hu, and Y. Wang, 'Non-regular feedback linearization of nonlinear systems via a normal form algorithm,' preprint
- E. Aranda-Bricaire, C. H. Moog, and J. B. Pomet, 'A linear algebraic framework for dynamic feedback linearization,' IEEE Trans. on Automatic Control, vol. 40, pp. 127-132, 1995 https://doi.org/10.1109/9.362886
- B. Charlet, J. Levine, and R. Marino, 'On dynamic feedback linearization,' Systems & Control Letters, vol. 13, pp. 143-151, 1989 https://doi.org/10.1016/0167-6911(89)90031-5
- B. Charlet, J. Levine, and R. Marino, 'New sufficient conditions for dynamic feedback linearization,' Geometric Methods in nonlinear Control Theory, pp. 39-45, 1989
- B. Charlet, J. Levine, and R. Marino, 'Sufficient conditions for dynamic state feedback linearization,' SIAM J. Control Optim., vol. 29, pp. 38-57, 1991 https://doi.org/10.1137/0329002
- M. Fliess, J. Levine, P. Martin, and P. Rouchon, 'Flatness and defect of non-linear system: introductory theory and examples,' International Journal of Control, vol. 61, pp. 1327-1361, 1995 https://doi.org/10.1080/00207179508921959
- M. Fliess, J. Levine, P. Martin, and P. Rouchon, 'On differentially flat nonlinear systems,' Proc. 2nd IFAC NOLCOS, Bordeaux, pp. 408-412, 1992
- M. Guay, P. J. Mclellan, and D. W. Bacon, 'A condition for dynamic feedback linearization of control-affine nonlinear systems,' International Journal of Control, vol. 68, pp. 87-106, 1997 https://doi.org/10.1080/002071797223749
- B. Jacubczyk, 'Remarks on equivalence and linearization of nonlinear systems,' Proc. 2nd IFAC NOLCOS, Bordeaux, pp. 393-397, 1992
- H. G. Lee, Y. M. Kim, and H. T. Jeon, 'On the linearization via a restricted class of dynamic feedback, IEEE Transaction on Automatic Control, vol. 45, pp. 1385-1391, 2000 https://doi.org/10.1109/9.867065
- P. Rouchon, 'Necessary condition and genericity of dynamic feedback linearization ,' J. Math. Syst. Estim. Control, vol. 4, pp. 1-14, 1994
- W. M. Sluis, 'A necessary condition for dynamic feedback linearization ,' System & Control Letters, vol. 21, pp. 277-283, 1993 https://doi.org/10.1016/0167-6911(93)90069-I
- W. M. Sluis and D. M. Tilbury, 'A bound on the number of integrators needed to linearize a control system,' System & Control Letters, vol. 29, pp. 43-50, 1996 https://doi.org/10.1016/0167-6911(96)00046-1
- P-. G. Lee, A. Arapostathis, and S. I. Marcus, 'Linearization of discrete-time systems Via restricted dynamic feedback, IEEE Transaction on Automatic Control, 2003, to appear https://doi.org/10.1109/TAC.2003.817009
- H.G. Lee, A. Arapostathis, and S.I. Marcus, 'An algorithm for linearization of discrete-time systems via restricted dynamic feedback, 2003 IEEE Conference on Decision and Control, to appear https://doi.org/10.1109/CDC.2003.1272799
- E. Freund, 'The structure of decoupled non-linear systems,' International Journal of Control, vol. 21, pp. '143-450, 1975 https://doi.org/10.1080/00207177508922001
- J. W. Grizzle, 'Local input-output decoupling of discrete-time nonlinear systems,' Int. J. Control, vol. 43, pp. 1517-1530, 1986 https://doi.org/10.1080/00207178608933556
- J. W. Grizzle and A. Isidori, 'Block noninteracting control with stability via static state feedback,' Math. Contr., Sig. Syst., vol. 2, pp. 315-341, 1989 https://doi.org/10.1007/BF02551275
- I. J. Ha. 'Canonical forms of decouplable and controllable linear systems,' Int. J. Contr., vol. 56, pp. 691-701, 1992 https://doi.org/10.1080/00207179208934335
- I. J. Ha and E. G. Gilert, 'A complete characterization of decoupling control laws for a general class of nonlinear systems,' IEEE Trans. Autom. Control, vol. 31, pp, 823-830, 1986 https://doi.org/10.1109/TAC.1986.1104410
- H. J. C. Huijberts and H. Nijmeijer, 'Strong dynamic input-output decoupling : From linearity to nonlinearity,' In Proc. IFAC NOLCOS Conf., Bordeaux, France, 1992
- A.Isidori and J. W. Grizzle, 'Fixed modes and nonlinear noninteracing control with stability,' IEEE Trans. Autom. Control, vol. 33, pp. 907-914, 1988 https://doi.org/10.1109/9.7244
- S. Monaco and D. Normand-Cyrot, 'Some remarks on the invertibility of nonlinear discrete-time systems.', IEEE AC, pp. 324-327, 1983 https://doi.org/10.1109/ACC.1983.4171058
- H. Nijmeijer and W. Respondek, 'Decoupling via dynamic compensation for nonlinear control systems.', IEEE CDC, pp. 192-197, 1986 https://doi.org/10.1109/CDC.1986.267206
- H. Nijmeijer, 'Local (dynamic) input-output decoupling of discrete time nonlinear systems,' IMA Journal of Mathematical Control & Information, vol. 4, pp. 237-250, 1987 https://doi.org/10.1093/imamci/4.3.237
- W. Respondek, 'Dynamic input-output linearization and decoupling of nonlinear systems,' Proc. 2nd European control conference, Groningen, pp. 1523-1527, 1993
- W. Respondek and H. Nijmeijer, 'On local right-invertibility of nonlinear control systems.' Control Theory and Advanced Technology 4, pp. 325-348, 1988
- A. Isidori and A. Ruberti, 'On the synthesis of linear input-output reponses for nonlinear systems,' Systems & Control Letters, vol. 4, pp. 17-22, 1984 https://doi.org/10.1016/S0167-6911(84)80046-8
- H. G. Lee and S. I. Marcus, 'On input-output linearization of discrete time nonlinear systems,' Systems & Control Letters, vol. 8, pp. 249-259, 1987 https://doi.org/10.1016/0167-6911(87)90035-1
- D. Claude, M. Fliess, and A. Isidori, 'Immersion, directe et par bouclage, d'un systeme nonlineaire dans un linearire,' C. R. Acad. Sci. Paris, vol. 296, pp. 237-240, 1983
- H. G. Lee and S. I. Marcus, 'Immersion and immersion by nonsingular feedback of a discrete-time nonlinear system into a linear system,' IEEE Transaction on Automatic Control, vol. 33, pp. 479-483, 1988 https://doi.org/10.1109/9.1233
- A. J. Krener and W. Respondek, 'Nonlinear observers with linearizable error dynamics,' SIAM J. Control and Optimization, vol. 23, pp. 197-216, 1985 https://doi.org/10.1137/0323016
- K. Nam and A. Arapostathis, 'A model reference adaptive control scheme for pure-feedback nonlinear systems,' IEEE Transaction on Automatic Control, vol. 33, pp. 803-811, 1988 https://doi.org/10.1109/9.1308