$\mathcal{L}_1$ Adaptive Control for Switching Reference Systems: Application to Flight Control
Abstract
This paper presents a framework for the design and analysis of an $\mathcal{L}_1$ adaptive controller with a switching reference system. The use of a switching reference system allows the desired behavior to be scheduled across the operating envelope, which is often required in aerospace applications. The analysis uses a switched reference system that assumes perfect knowledge of uncertainties and uses a corresponding non-adaptive controller. Provided that this switched reference system is stable, it is shown that the closed-loop system with unknown parameters and disturbances and the $\mathcal{L}_1$ adaptive controller can behave arbitrarily close to this reference system. Simulations of the short period dynamics of a transport class aircraft during the approach phase illustrate the theoretical results.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2020
- DOI:
- 10.48550/arXiv.2101.00134
- arXiv:
- arXiv:2101.00134
- Bibcode:
- 2021arXiv210100134S
- Keywords:
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- Mathematics - Optimization and Control;
- Electrical Engineering and Systems Science - Systems and Control
- E-Print:
- Published in IFAC-PapersOnLine