Robust Reduced Order Observer for Discrete-Time Lipschitz Nonlinear Systems
Summary :
The robust reduced order observer for a class of discrete-time Lipschitz nonlinear systems with external disturbance is proposed. It is shown that the proposed observer design can suppress the effect on the estimation error of external disturbance up to the prescribed level. Also, linear matrix inequalities are used to represent sufficient conditions on the existence of the proposed observer. Moreover, the maximum admissible Lipschitz constant of the proposed design is obtained for a given disturbance attenuation level. Finally, an illustrative example is given to verify the effectiveness of the proposed design.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.8 pp.1560-1564
- Publication Date
- 2010/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E93.A.1560
- Type of Manuscript
- LETTER
- Category
- Systems and Control
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Keyword
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Sungryul LEE, "Robust Reduced Order Observer for Discrete-Time Lipschitz Nonlinear Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 8, pp. 1560-1564, August 2010, doi: 10.1587/transfun.E93.A.1560.
Abstract: The robust reduced order observer for a class of discrete-time Lipschitz nonlinear systems with external disturbance is proposed. It is shown that the proposed observer design can suppress the effect on the estimation error of external disturbance up to the prescribed level. Also, linear matrix inequalities are used to represent sufficient conditions on the existence of the proposed observer. Moreover, the maximum admissible Lipschitz constant of the proposed design is obtained for a given disturbance attenuation level. Finally, an illustrative example is given to verify the effectiveness of the proposed design.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.1560/_p
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@ARTICLE{e93-a_8_1560,
author={Sungryul LEE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robust Reduced Order Observer for Discrete-Time Lipschitz Nonlinear Systems},
year={2010},
volume={E93-A},
number={8},
pages={1560-1564},
abstract={The robust reduced order observer for a class of discrete-time Lipschitz nonlinear systems with external disturbance is proposed. It is shown that the proposed observer design can suppress the effect on the estimation error of external disturbance up to the prescribed level. Also, linear matrix inequalities are used to represent sufficient conditions on the existence of the proposed observer. Moreover, the maximum admissible Lipschitz constant of the proposed design is obtained for a given disturbance attenuation level. Finally, an illustrative example is given to verify the effectiveness of the proposed design.},
keywords={},
doi={10.1587/transfun.E93.A.1560},
ISSN={1745-1337},
month={August},}
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TY - JOUR
TI - Robust Reduced Order Observer for Discrete-Time Lipschitz Nonlinear Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1560
EP - 1564
AU - Sungryul LEE
PY - 2010
DO - 10.1587/transfun.E93.A.1560
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2010
AB - The robust reduced order observer for a class of discrete-time Lipschitz nonlinear systems with external disturbance is proposed. It is shown that the proposed observer design can suppress the effect on the estimation error of external disturbance up to the prescribed level. Also, linear matrix inequalities are used to represent sufficient conditions on the existence of the proposed observer. Moreover, the maximum admissible Lipschitz constant of the proposed design is obtained for a given disturbance attenuation level. Finally, an illustrative example is given to verify the effectiveness of the proposed design.
ER -
English
