This paper studies an adaptive high gain observer design for nonlinear systems which have lower triangular nonlinearity with Lipschitz coefficient, depending on the control input. Because the gain of the proposed observer is tuned automatically by a simple update law, our design approach doesn't need any information about the Lipschitz constant. Also, it is shown that under some assumptions, the dynamic gain of the proposed observer is bounded and its estimation error converges to zero asymptotically. Finally, a numerical example is given to verify the effectiveness of our design approach.
Sungryul LEE
Kunsan National University
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Sungryul LEE, "An Adaptive High Gain Observer Design for Nonlinear Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 9, pp. 1966-1970, September 2014, doi: 10.1587/transfun.E97.A.1966.
Abstract: This paper studies an adaptive high gain observer design for nonlinear systems which have lower triangular nonlinearity with Lipschitz coefficient, depending on the control input. Because the gain of the proposed observer is tuned automatically by a simple update law, our design approach doesn't need any information about the Lipschitz constant. Also, it is shown that under some assumptions, the dynamic gain of the proposed observer is bounded and its estimation error converges to zero asymptotically. Finally, a numerical example is given to verify the effectiveness of our design approach.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.1966/_p
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@ARTICLE{e97-a_9_1966,
author={Sungryul LEE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Adaptive High Gain Observer Design for Nonlinear Systems},
year={2014},
volume={E97-A},
number={9},
pages={1966-1970},
abstract={This paper studies an adaptive high gain observer design for nonlinear systems which have lower triangular nonlinearity with Lipschitz coefficient, depending on the control input. Because the gain of the proposed observer is tuned automatically by a simple update law, our design approach doesn't need any information about the Lipschitz constant. Also, it is shown that under some assumptions, the dynamic gain of the proposed observer is bounded and its estimation error converges to zero asymptotically. Finally, a numerical example is given to verify the effectiveness of our design approach.},
keywords={},
doi={10.1587/transfun.E97.A.1966},
ISSN={1745-1337},
month={September},}
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TY - JOUR
TI - An Adaptive High Gain Observer Design for Nonlinear Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1966
EP - 1970
AU - Sungryul LEE
PY - 2014
DO - 10.1587/transfun.E97.A.1966
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2014
AB - This paper studies an adaptive high gain observer design for nonlinear systems which have lower triangular nonlinearity with Lipschitz coefficient, depending on the control input. Because the gain of the proposed observer is tuned automatically by a simple update law, our design approach doesn't need any information about the Lipschitz constant. Also, it is shown that under some assumptions, the dynamic gain of the proposed observer is bounded and its estimation error converges to zero asymptotically. Finally, a numerical example is given to verify the effectiveness of our design approach.
ER -