Stability Analysis for Incremental Nonlinear Dynamic Inversion Control

Stability Analysis for Incremental Nonlinear Dynamic Inversion Control

Wang, Xuerui (TU Delft Control & Simulation)
van Kampen, E. (TU Delft Control & Simulation)
Chu, Q. P. (TU Delft Control & Simulation)
Lu, P (Swiss Federal Institute of Technology)

2018

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.

http://resolver.tudelft.nl/uuid:d871c4f2-bc1a-4f70-9ebb-b75e9c1b04a9

https://doi.org/10.2514/6.2018-1115

American Institute of Aeronautics and Astronautics Inc. (AIAA)

2022-01-05

978-1-62410-525-8

Proceedings of the 2018 AIAA Atmospheric Flight Mechanics Conference

AIAA Atmospheric Flight Mechanics Conference, 2018-01-08 → 2018-01-12, Kissimmee, United States

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.

Institutional Repository

conference paper

© 2018 Xuerui Wang, E. van Kampen, Q. P. Chu, P Lu