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Aerospace Instrument-Making

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Robust Multi-Stage Nonlinear Model Predictive Control for Disturbance Mitigation in a 2-Axes Gimbal System
Kafa W., Gavrilov D.A., Buzdin V.E., Tatarinova E.A., Fateev A.S., Merkelov A.A., Sichkar D.S., Zinovchik O.Yu., Potkin O.A.

Sensor stabilization is crucial for gimbal systems in aerospace applications to ensure accurate image
processing and target tracking. This study introduces a robust nonlinear model predictive control (NMPC)
approach for achieving effective sensor stabilization in 2-axes gimbal systems mounted on unmanned aerial
vehicles (UAVs). The system's complex nonlinear and time-varying nature is simplifi ed by approximating
it around a non-univocal equilibrium point. By formulating the control problem as an optimization task
using multi-stage stochastic programming, uncertainties are incorporated through the scenario tree
concept, implemented using the do-MPC toolbox based on CasADi/IPOPT. This enables adaptive control
inputs and closed-loop operation based on real-time information. Simulation results demonstrate the
effi cacy of the proposed approach in stabilizing the system and mitigating disturbances. The controller
displays robust behavior across diverse conditions, effectively countering external disturbances and
measurement noise. The approach offers fl exibility in tuning hyperparameters to achieve a balance
between accuracy and computational requirements. However, a trade-off is observed, with an increase
in computational demands as the robust horizon expands. The fi ndings provide valuable insights into
system performance and emphasize the infl uence of hyperparameter selection. This research establishes a
solid foundation for the design of advanced stabilization systems in aerospace applications, keeping pace
with advancing sensor capabilities. Future investigations can focus on refi ning real-time execution and
addressing computational complexities to further improve system performance using neural networks.
Keywords: Multi-Stage robust nonlinear model predictive control, Disturbance mitigation, Gimbal stabilization, Parameters
uncertainty.

Pp. 17-36.

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