Digital Library of Zielona Góra contains 9 272 digital objects
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Title: Robust fractional adaptive control based on the strictly positive realness condition
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Abstract:
This paper presents a new approach to robust adaptive control, using fractional order systems as parallel feedforward in the adaptation loop. The problem is that adaptive control systems may diverge when confronted with finite sensor and actuator dynamics, or with parasitic disturbances. One of the classical robust adaptive control solutions to these problems makes use of parallel feedforward and simplified adaptive controllers based on the concept of positive realness. ; The proposed control scheme is based on the Almost Strictly Positive Realness (ASPR) property of the plant. We show that this condition implies also robust stability in the case of fractional order controllers. An application to Model Reference Adaptive Control (MRAC) with a fractional order adaptation rule is provided with an implementable algorithm. A simulation example of a SISO robust adaptive control system illustrates the advantages of the proposed method in the presence of disturbances and noise.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
AMCS, volume 19, number 1 (2009) ; click here to follow the link
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License CC BY 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2009)
Last modified:
Jul 14, 2025
In our library since:
Apr 8, 2024
Number of object content hits:
109
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88525
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 1 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 2 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 3 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19, number 4 (2009)
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| Edition name | Date |
|---|---|
| Robust fractional adaptive control based on the strictly positive realness condition | Jul 14, 2025 |
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