IEICE TRANSACTIONS on Fundamentals
Simple Extension of a Numerical Algorithm for Feedback Linearization to Multi-Input Nonlinear Systems
Summary :
Obtaining a linearizing feedback and a coordinate transformation map is very difficult, even though the system is feedback linearizable. It is known that finding a desired transformation map and feedback is equivalent to finding an integrating factor for an annihilating one-form for single input nonlinear systems. It is also known that such an integrating factor can be approximated using the simple C.I.R method and tensor product splines. In this paper, it is shown that m integrating factors can always be approximated whenever a nonlinear system with m inputs is feedback linearizable. Next, m zero-forms can be constructed by utilizing these m integrating factors and the same methodology in the single input case. Hence, the coordinate transformation map is obtained.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.5 pp.1302-1308
- Publication Date
- 2003/05/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Systems and Control
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Yu Jin JANG, Sang Woo KIM, "Simple Extension of a Numerical Algorithm for Feedback Linearization to Multi-Input Nonlinear Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 5, pp. 1302-1308, May 2003, doi: .
Abstract: Obtaining a linearizing feedback and a coordinate transformation map is very difficult, even though the system is feedback linearizable. It is known that finding a desired transformation map and feedback is equivalent to finding an integrating factor for an annihilating one-form for single input nonlinear systems. It is also known that such an integrating factor can be approximated using the simple C.I.R method and tensor product splines. In this paper, it is shown that m integrating factors can always be approximated whenever a nonlinear system with m inputs is feedback linearizable. Next, m zero-forms can be constructed by utilizing these m integrating factors and the same methodology in the single input case. Hence, the coordinate transformation map is obtained.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_5_1302/_p
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@ARTICLE{e86-a_5_1302,
author={Yu Jin JANG, Sang Woo KIM, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Simple Extension of a Numerical Algorithm for Feedback Linearization to Multi-Input Nonlinear Systems},
year={2003},
volume={E86-A},
number={5},
pages={1302-1308},
abstract={Obtaining a linearizing feedback and a coordinate transformation map is very difficult, even though the system is feedback linearizable. It is known that finding a desired transformation map and feedback is equivalent to finding an integrating factor for an annihilating one-form for single input nonlinear systems. It is also known that such an integrating factor can be approximated using the simple C.I.R method and tensor product splines. In this paper, it is shown that m integrating factors can always be approximated whenever a nonlinear system with m inputs is feedback linearizable. Next, m zero-forms can be constructed by utilizing these m integrating factors and the same methodology in the single input case. Hence, the coordinate transformation map is obtained.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Simple Extension of a Numerical Algorithm for Feedback Linearization to Multi-Input Nonlinear Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1302
EP - 1308
AU - Yu Jin JANG
AU - Sang Woo KIM
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2003
AB - Obtaining a linearizing feedback and a coordinate transformation map is very difficult, even though the system is feedback linearizable. It is known that finding a desired transformation map and feedback is equivalent to finding an integrating factor for an annihilating one-form for single input nonlinear systems. It is also known that such an integrating factor can be approximated using the simple C.I.R method and tensor product splines. In this paper, it is shown that m integrating factors can always be approximated whenever a nonlinear system with m inputs is feedback linearizable. Next, m zero-forms can be constructed by utilizing these m integrating factors and the same methodology in the single input case. Hence, the coordinate transformation map is obtained.
ER -
English
