Asymptotic Stabilization of Feedback Linearizable Systems via Estimated Diffeomorphism
Summary :
The traditional feedback linearization method often requires the full system parameter and state information. In this paper, we consider an asymptotic stabilization problem of a class of feedback linearizable nonlinear systems by using less than the full parameter/state information. First, our approach is to classify system parameters into two categories--'directly used parameters' and 'indirectly used parameters.' Then, a feedback linearizing controller is designed by using only the 'directly used parameters' and the observer is utilized to estimate the transformed states (diffeomorphism) which includes 'indirectly used parameters.' Thus, in our control approach, we use only a partial set of system parameters and partial state information for asymptotic stability. The useful aspects of the proposed scheme are illustrated through an example.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.7 pp.1476-1480
- Publication Date
- 2007/07/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e90-a.7.1476
- Type of Manuscript
- LETTER
- Category
- Systems and Control
Authors
Keyword
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Ho-Lim CHOI, Jong-Tae LIM, "Asymptotic Stabilization of Feedback Linearizable Systems via Estimated Diffeomorphism" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 7, pp. 1476-1480, July 2007, doi: 10.1093/ietfec/e90-a.7.1476.
Abstract: The traditional feedback linearization method often requires the full system parameter and state information. In this paper, we consider an asymptotic stabilization problem of a class of feedback linearizable nonlinear systems by using less than the full parameter/state information. First, our approach is to classify system parameters into two categories--'directly used parameters' and 'indirectly used parameters.' Then, a feedback linearizing controller is designed by using only the 'directly used parameters' and the observer is utilized to estimate the transformed states (diffeomorphism) which includes 'indirectly used parameters.' Thus, in our control approach, we use only a partial set of system parameters and partial state information for asymptotic stability. The useful aspects of the proposed scheme are illustrated through an example.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.7.1476/_p
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@ARTICLE{e90-a_7_1476,
author={Ho-Lim CHOI, Jong-Tae LIM, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Asymptotic Stabilization of Feedback Linearizable Systems via Estimated Diffeomorphism},
year={2007},
volume={E90-A},
number={7},
pages={1476-1480},
abstract={The traditional feedback linearization method often requires the full system parameter and state information. In this paper, we consider an asymptotic stabilization problem of a class of feedback linearizable nonlinear systems by using less than the full parameter/state information. First, our approach is to classify system parameters into two categories--'directly used parameters' and 'indirectly used parameters.' Then, a feedback linearizing controller is designed by using only the 'directly used parameters' and the observer is utilized to estimate the transformed states (diffeomorphism) which includes 'indirectly used parameters.' Thus, in our control approach, we use only a partial set of system parameters and partial state information for asymptotic stability. The useful aspects of the proposed scheme are illustrated through an example.},
keywords={},
doi={10.1093/ietfec/e90-a.7.1476},
ISSN={1745-1337},
month={July},}
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TY - JOUR
TI - Asymptotic Stabilization of Feedback Linearizable Systems via Estimated Diffeomorphism
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1476
EP - 1480
AU - Ho-Lim CHOI
AU - Jong-Tae LIM
PY - 2007
DO - 10.1093/ietfec/e90-a.7.1476
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2007
AB - The traditional feedback linearization method often requires the full system parameter and state information. In this paper, we consider an asymptotic stabilization problem of a class of feedback linearizable nonlinear systems by using less than the full parameter/state information. First, our approach is to classify system parameters into two categories--'directly used parameters' and 'indirectly used parameters.' Then, a feedback linearizing controller is designed by using only the 'directly used parameters' and the observer is utilized to estimate the transformed states (diffeomorphism) which includes 'indirectly used parameters.' Thus, in our control approach, we use only a partial set of system parameters and partial state information for asymptotic stability. The useful aspects of the proposed scheme are illustrated through an example.
ER -
English
