TY - GEN
T1 - Stability Analysis for Incremental Nonlinear Dynamic Inversion Control
AU - Wang, Xuerui
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.
UR - http://resolver.tudelft.nl/uuid:d871c4f2-bc1a-4f70-9ebb-b75e9c1b04a9
U2 - 10.2514/6.2018-1115
DO - 10.2514/6.2018-1115
M3 - Conference contribution
BT - Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference
PB - American Institute of Aeronautics and Astronautics Inc. (AIAA)
T2 - AIAA Atmospheric Flight Mechanics Conference
Y2 - 8 January 2018 through 12 January 2018
ER -