Robust Fuzzy Integral Regulator Design for a Class of Affine Nonlinear Systems
Summary :
This paper proposes a robust fuzzy integral controller for output regulating a class of affine nonlinear systems subject to a bias reference to the origin. First, a common biased fuzzy model is introduced for a class of continuous/discrete-time affine nonlinear systems, such as dc-dc converters, robotic systems. Then, combining an integrator and parallel distributed compensators, the fuzzy integral regulator achieves an asymptotic regulation. Moreover, when considering disturbances or unstructured certainties, a virtual reference model is presented and provides a robust gain design via LMI techniques. In this case, H∞ performances is guaranteed. Note that the information regarding the operational point and bias terms are not required during the controller implementation. Thus, the controller can be applied to a multi-task regulation. Finally, three numerical simulations show the expected results.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.4 pp.1100-1107
- Publication Date
- 2006/04/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.4.1100
- Type of Manuscript
- PAPER
- Category
- Systems and Control
Authors
Keyword
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Tung-Sheng CHIANG, Chian-Song CHIU, Peter LIU, "Robust Fuzzy Integral Regulator Design for a Class of Affine Nonlinear Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 4, pp. 1100-1107, April 2006, doi: 10.1093/ietfec/e89-a.4.1100.
Abstract: This paper proposes a robust fuzzy integral controller for output regulating a class of affine nonlinear systems subject to a bias reference to the origin. First, a common biased fuzzy model is introduced for a class of continuous/discrete-time affine nonlinear systems, such as dc-dc converters, robotic systems. Then, combining an integrator and parallel distributed compensators, the fuzzy integral regulator achieves an asymptotic regulation. Moreover, when considering disturbances or unstructured certainties, a virtual reference model is presented and provides a robust gain design via LMI techniques. In this case, H∞ performances is guaranteed. Note that the information regarding the operational point and bias terms are not required during the controller implementation. Thus, the controller can be applied to a multi-task regulation. Finally, three numerical simulations show the expected results.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.4.1100/_p
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@ARTICLE{e89-a_4_1100,
author={Tung-Sheng CHIANG, Chian-Song CHIU, Peter LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robust Fuzzy Integral Regulator Design for a Class of Affine Nonlinear Systems},
year={2006},
volume={E89-A},
number={4},
pages={1100-1107},
abstract={This paper proposes a robust fuzzy integral controller for output regulating a class of affine nonlinear systems subject to a bias reference to the origin. First, a common biased fuzzy model is introduced for a class of continuous/discrete-time affine nonlinear systems, such as dc-dc converters, robotic systems. Then, combining an integrator and parallel distributed compensators, the fuzzy integral regulator achieves an asymptotic regulation. Moreover, when considering disturbances or unstructured certainties, a virtual reference model is presented and provides a robust gain design via LMI techniques. In this case, H∞ performances is guaranteed. Note that the information regarding the operational point and bias terms are not required during the controller implementation. Thus, the controller can be applied to a multi-task regulation. Finally, three numerical simulations show the expected results.},
keywords={},
doi={10.1093/ietfec/e89-a.4.1100},
ISSN={1745-1337},
month={April},}
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TY - JOUR
TI - Robust Fuzzy Integral Regulator Design for a Class of Affine Nonlinear Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1100
EP - 1107
AU - Tung-Sheng CHIANG
AU - Chian-Song CHIU
AU - Peter LIU
PY - 2006
DO - 10.1093/ietfec/e89-a.4.1100
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2006
AB - This paper proposes a robust fuzzy integral controller for output regulating a class of affine nonlinear systems subject to a bias reference to the origin. First, a common biased fuzzy model is introduced for a class of continuous/discrete-time affine nonlinear systems, such as dc-dc converters, robotic systems. Then, combining an integrator and parallel distributed compensators, the fuzzy integral regulator achieves an asymptotic regulation. Moreover, when considering disturbances or unstructured certainties, a virtual reference model is presented and provides a robust gain design via LMI techniques. In this case, H∞ performances is guaranteed. Note that the information regarding the operational point and bias terms are not required during the controller implementation. Thus, the controller can be applied to a multi-task regulation. Finally, three numerical simulations show the expected results.
ER -
English
