IEICE TRANSACTIONS on Fundamentals
Robust Control of a Class of Nonlinear Systems in Presence of Uncertain Time-Varying Parameters Associated with Diagonal Terms via Output Feedback
Summary :
In this paper, we propose a robust output feedback control method for nonlinear systems with uncertain time-varying parameters associated with diagonal terms and there are additional external disturbances. First, we provide a new practical guidance of obtaining a compact set which contains the allowed time-varying parameters by utilizing a Lyapunov equation and matrix inequalities. Then, we show that all system states and observer errors of the controlled system remain bounded by the proposed controller. Moreover, we show that the ultimate bounds of some system states and observer errors can be made (arbitrarily) small by adjusting a gain-scaling factor depending on the system nonlinearity. With an application example, we illustrate the effectiveness of our control scheme over the existing one.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.1 pp.263-274
- Publication Date
- 2021/01/01
- Publicized
- 2020/07/08
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAP1005
- Type of Manuscript
- PAPER
- Category
- Systems and Control
Authors
Sang-Young OH
Dong-A University
Ho-Lim CHOI
Dong-A University
Keyword
Latest Issue
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Sang-Young OH, Ho-Lim CHOI, "Robust Control of a Class of Nonlinear Systems in Presence of Uncertain Time-Varying Parameters Associated with Diagonal Terms via Output Feedback" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 1, pp. 263-274, January 2021, doi: 10.1587/transfun.2020EAP1005.
Abstract: In this paper, we propose a robust output feedback control method for nonlinear systems with uncertain time-varying parameters associated with diagonal terms and there are additional external disturbances. First, we provide a new practical guidance of obtaining a compact set which contains the allowed time-varying parameters by utilizing a Lyapunov equation and matrix inequalities. Then, we show that all system states and observer errors of the controlled system remain bounded by the proposed controller. Moreover, we show that the ultimate bounds of some system states and observer errors can be made (arbitrarily) small by adjusting a gain-scaling factor depending on the system nonlinearity. With an application example, we illustrate the effectiveness of our control scheme over the existing one.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAP1005/_p
Copy
@ARTICLE{e104-a_1_263,
author={Sang-Young OH, Ho-Lim CHOI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robust Control of a Class of Nonlinear Systems in Presence of Uncertain Time-Varying Parameters Associated with Diagonal Terms via Output Feedback},
year={2021},
volume={E104-A},
number={1},
pages={263-274},
abstract={In this paper, we propose a robust output feedback control method for nonlinear systems with uncertain time-varying parameters associated with diagonal terms and there are additional external disturbances. First, we provide a new practical guidance of obtaining a compact set which contains the allowed time-varying parameters by utilizing a Lyapunov equation and matrix inequalities. Then, we show that all system states and observer errors of the controlled system remain bounded by the proposed controller. Moreover, we show that the ultimate bounds of some system states and observer errors can be made (arbitrarily) small by adjusting a gain-scaling factor depending on the system nonlinearity. With an application example, we illustrate the effectiveness of our control scheme over the existing one.},
keywords={},
doi={10.1587/transfun.2020EAP1005},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - Robust Control of a Class of Nonlinear Systems in Presence of Uncertain Time-Varying Parameters Associated with Diagonal Terms via Output Feedback
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 263
EP - 274
AU - Sang-Young OH
AU - Ho-Lim CHOI
PY - 2021
DO - 10.1587/transfun.2020EAP1005
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2021
AB - In this paper, we propose a robust output feedback control method for nonlinear systems with uncertain time-varying parameters associated with diagonal terms and there are additional external disturbances. First, we provide a new practical guidance of obtaining a compact set which contains the allowed time-varying parameters by utilizing a Lyapunov equation and matrix inequalities. Then, we show that all system states and observer errors of the controlled system remain bounded by the proposed controller. Moreover, we show that the ultimate bounds of some system states and observer errors can be made (arbitrarily) small by adjusting a gain-scaling factor depending on the system nonlinearity. With an application example, we illustrate the effectiveness of our control scheme over the existing one.
ER -
English
