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This paper advances autonomous flight control by establishing formally guaranteed error bounds for helicopters using Robust Positive Invariant sets, providing certified safety margins for upper-level trajectory planning. The study rigorously compares controller architectures to balance tracking performance against the conservatism of computed invariant sets under bounded disturbances. While the application involves robotics, the core contribution lies in the mathematical framework for ensuring robust, verifiable control dynamics essential for safe autonomous systems.
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Trajectory Tracking Control Design for Autonomous Helicopters with Guaranteed Error Bounds

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arXiv:2603.08045v2 Announce Type: replace-cross Abstract: This paper presents a systematic framework for computing formally guaranteed trajectory tracking error bounds for autonomous helicopters based on Robust Positive Invariant (RPI) sets. The approach establishes a closed-loop translational error dynamics which is cast into polytopic linear parameter-varying form with bounded additive and state-dependent disturbances. Ellipsoidal RPI sets are computed, yielding explicit position error bounds suitable as certified buffer zones in upper-level trajectory planning. Three controller architectures are compared with respect to the conservatism of their error bounds and tracking performance. Simulation results on a nonlinear helicopter model demonstrate that all architectures satisfy the derived bounds, while highlighting trade-offs between performance and the conservatism of the computed invariant set.

Abstract:This paper presents a systematic framework for computing formally guaranteed trajectory tracking error bounds for autonomous helicopters based on Robust Positive Invariant (RPI) sets. The approach establishes a closed-loop translational error dynamics which is cast into polytopic linear parameter-varying form with bounded additive and state-dependent disturbances. Ellipsoidal RPI sets are computed, yielding explicit position error bounds suitable as certified buffer zones in upper-level trajectory planning. Three controller architectures are compared with respect to the conservatism of their error bounds and tracking performance. Simulation results on a nonlinear helicopter model demonstrate that all architectures satisfy the derived bounds, while highlighting trade-offs between performance and the conservatism of the computed invariant set.

Systems and Control (eess.SY); Robotics (cs.RO)

arXiv:2603.08045 [eess.SY]

(or arXiv:2603.08045v2 [eess.SY] for this version)

https://doi.org/10.48550/arXiv.2603.08045 Focus to learn more arXiv-issued DOI via DataCite

2026 International Conference on Unmanned Aircraft Systems (ICUAS), Corfu, Greece, 2026, pp. 411-418

https://doi.org/10.1109/ICUAS69441.2026.11598705 Focus to learn more DOI(s) linking to related resources

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