Stability Analysis for Incremental Nonlinear Dynamic Inversion Control

Xuerui Wang; Erik-Jan van Kampen; Qiping Chu; P Lu

doi:10.2514/6.2018-1115

Stability Analysis for Incremental Nonlinear Dynamic Inversion Control

Xuerui Wang, Erik-Jan van Kampen, Qiping Chu, P Lu

Control & Simulation

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

20 Citations (Scopus)

399 Downloads (Pure)

Abstract

As a sensor-based control approach, the Incremental Nonlinear Dynamic Inversion (INDI) method has been successfully applied on various aerospace systems and shown desirable robust performance to aerodynamic model uncertainties. However, its previous derivations based on the so-called time scale separation principle is not mathematically rigorous. There also
lack of stability and robustness analysis for INDI. Therefore, this paper reformulated the INDI control law without using the time scale separation principle and generalized it to not necessarily relative-degree-one problems, with consideration of the internal dynamics. Besides, the stability of the closed-loop system in the presence of external disturbances is analyzed using
Lyapunov methods and nonlinear system perturbation theory. Moreover, the robustness of the closed-loop system against regular and singular perturbations is analyzed. Finally, the reformulated INDI control law and main conclusions are verified by a rigid aircraft gust load alleviation problem.

Original language	English
Title of host publication	Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference
Publisher	American Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages	16
ISBN (Electronic)	978-1-62410-525-8
DOIs	https://doi.org/10.2514/6.2018-1115
Publication status	Published - 2018
Event	AIAA Atmospheric Flight Mechanics Conference - Kissimmee, United States Duration: 8 Jan 2018 → 12 Jan 2018 https://doi.org/10.2514/MAFM18

Conference

Conference	AIAA Atmospheric Flight Mechanics Conference
Country/Territory	United States
City	Kissimmee
Period	8/01/18 → 12/01/18
Internet address	https://doi.org/10.2514/MAFM18

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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6.2018-1115Final published version, 2.39 MB

Cite this

@inproceedings{d871c4f2bc1a4f709ebbb75e9c1b04a9,

title = "Stability Analysis for Incremental Nonlinear Dynamic Inversion Control",

abstract = "As a sensor-based control approach, the Incremental Nonlinear Dynamic Inversion (INDI) method has been successfully applied on various aerospace systems and shown desirable robust performance to aerodynamic model uncertainties. However, its previous derivations based on the so-called time scale separation principle is not mathematically rigorous. There alsolack of stability and robustness analysis for INDI. Therefore, this paper reformulated the INDI control law without using the time scale separation principle and generalized it to not necessarily relative-degree-one problems, with consideration of the internal dynamics. Besides, the stability of the closed-loop system in the presence of external disturbances is analyzed usingLyapunov methods and nonlinear system perturbation theory. Moreover, the robustness of the closed-loop system against regular and singular perturbations is analyzed. Finally, the reformulated INDI control law and main conclusions are verified by a rigid aircraft gust load alleviation problem.",

author = "Xuerui Wang and {van Kampen}, Erik-Jan and Qiping Chu and P Lu",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; AIAA Atmospheric Flight Mechanics Conference ; Conference date: 08-01-2018 Through 12-01-2018",

year = "2018",

doi = "10.2514/6.2018-1115",

language = "English",

booktitle = "Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

address = "United States",

url = "https://doi.org/10.2514/MAFM18",

}

Wang, X , van Kampen, E-J , Chu, Q & Lu, P 2018, Stability Analysis for Incremental Nonlinear Dynamic Inversion Control. in Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference., AIAA 2018-1115, American Institute of Aeronautics and Astronautics Inc. (AIAA), AIAA Atmospheric Flight Mechanics Conference, Kissimmee, Florida, United States, 8/01/18. https://doi.org/10.2514/6.2018-1115

Stability Analysis for Incremental Nonlinear Dynamic Inversion Control. / Wang, Xuerui ; van Kampen, Erik-Jan ; Chu, Qiping et al.
Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference. American Institute of Aeronautics and Astronautics Inc. (AIAA), 2018. AIAA 2018-1115.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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T1 - Stability Analysis for Incremental Nonlinear Dynamic Inversion Control

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AU - van Kampen, Erik-Jan

AU - Chu, Qiping

AU - Lu, P

N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2018

Y1 - 2018

N2 - As a sensor-based control approach, the Incremental Nonlinear Dynamic Inversion (INDI) method has been successfully applied on various aerospace systems and shown desirable robust performance to aerodynamic model uncertainties. However, its previous derivations based on the so-called time scale separation principle is not mathematically rigorous. There alsolack of stability and robustness analysis for INDI. Therefore, this paper reformulated the INDI control law without using the time scale separation principle and generalized it to not necessarily relative-degree-one problems, with consideration of the internal dynamics. Besides, the stability of the closed-loop system in the presence of external disturbances is analyzed usingLyapunov methods and nonlinear system perturbation theory. Moreover, the robustness of the closed-loop system against regular and singular perturbations is analyzed. Finally, the reformulated INDI control law and main conclusions are verified by a rigid aircraft gust load alleviation problem.

AB - As a sensor-based control approach, the Incremental Nonlinear Dynamic Inversion (INDI) method has been successfully applied on various aerospace systems and shown desirable robust performance to aerodynamic model uncertainties. However, its previous derivations based on the so-called time scale separation principle is not mathematically rigorous. There alsolack of stability and robustness analysis for INDI. Therefore, this paper reformulated the INDI control law without using the time scale separation principle and generalized it to not necessarily relative-degree-one problems, with consideration of the internal dynamics. Besides, the stability of the closed-loop system in the presence of external disturbances is analyzed usingLyapunov methods and nonlinear system perturbation theory. Moreover, the robustness of the closed-loop system against regular and singular perturbations is analyzed. Finally, the reformulated INDI control law and main conclusions are verified by a rigid aircraft gust load alleviation problem.

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M3 - Conference contribution

BT - Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference

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T2 - AIAA Atmospheric Flight Mechanics Conference

Y2 - 8 January 2018 through 12 January 2018

ER -

Stability Analysis for Incremental Nonlinear Dynamic Inversion Control

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