Title:
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Disturbance decoupling of nonlinear MISO systems by static measurement feedback (English) |
Author:
|
Pothin, Richard |
Author:
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Moog, Claude H. |
Author:
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Xia, Xiaohua |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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38 |
Issue:
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5 |
Year:
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2002 |
Pages:
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[601]-608 |
Summary lang:
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English |
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Category:
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math |
. |
Summary:
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This paper highlights the role of the rank of a differential one-form in the solution of such nonlinear control problems via measurement feedback as disturbance decoupling problem of multi-input single output (MISO) systems. For the later problem, some necessary conditions and sufficient conditions are given. (English) |
Keyword:
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nonlinear control |
Keyword:
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decoupling |
MSC:
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93B11 |
MSC:
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93B15 |
MSC:
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93C10 |
MSC:
|
93C73 |
MSC:
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93D15 |
idZBL:
|
Zbl 1265.93185 |
idMR:
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MR1966948 |
. |
Date available:
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2009-09-24T19:49:05Z |
Last updated:
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2015-03-25 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/135489 |
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Reference:
|
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Reference:
|
[2] Bryant R. L., Chern S. S., Gardner R. B., Goldschmidt H. L., Griffiths P. A.: Exterior Differential Systems.Springer–Verlag, New York 1991 Zbl 0726.58002, MR 1083148 |
Reference:
|
[3] Conte G., Moog C. H., Perdon A. M.: Nonlinear Control Systems: An Algebraic Setting.(Lecture Notes in Control and Information Science 242.) Springer–Verlag, London 1999 Zbl 0920.93002, MR 1687965, 10.1007/3-540-48443-4 |
Reference:
|
[4] Hermes H.: Involutive subdistributions and canonical forms for distributions and control systems.In: Theory and Applications of Nonlinear Control Systems (C. I. Byrnes and A. Lindquist, eds.), North–Holland, Amsterdam 1986, pp. 123–135 Zbl 0621.93023, MR 0935372 |
Reference:
|
[5] Huijberts H. J. C., Colpier, L., Moreau P.: Nonlinear input-output decoupling by static output feedback.In: Proc. 3rd European Control Conference (EEC’95), Rome 1995, pp. 1057–1062 |
Reference:
|
[6] Isidori A.: Nonlinear Control Systems.Second edition. Springer–Verlag, Berlin 1989 Zbl 0931.93005, MR 1015932 |
Reference:
|
[7] Isidori A., Krener A. J., Giorgi, C. Gori, Monaco S.: Nonlinear decoupling via feedback: a differential geometric approach.IEEE Trans. Automat. Control 26 (1981), 331–345 Zbl 0481.93037, MR 0613540, 10.1109/TAC.1981.1102604 |
Reference:
|
[8] Nijmeijer H., Schaft A. J. van der: Nonlinear dynamical control systems.Springer–Verlag, New York 1990 MR 1047663 |
Reference:
|
[9] Xia X., Moog C. H.: Disturbance decoupling by measurement feedback for SISO nonlinear systems.IEEE Trans. Automat. Control 44 (1999), 1425–1429 Zbl 0954.93016, MR 1697431, 10.1109/9.774115 |
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