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A multirate variational approach to simulation and optimal control for flexible spacecraft

2020/09/12 by Yana Lishkova, Sina Ober‐Blöbaum, Lishkova, Yana +5
Engineering · #Adaptive Control of Nonlinear Systems #Control and Stability of Dynamical Systems #Dynamics and Control of Mechanical Systems #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2009.05873

openalex publication_date 2020/09/12 · openalex created_date 2020/09/21 · openalex updated_date 2026/07/28

Abstract

We propose an optimal control method for simultaneous slewing and vibration control of flexible spacecraft. Considering dynamics on different time scales, the optimal control problem is discretized on micro and macro time grids using a multirate variational approach. The description of the system and the necessary optimality conditions are derived through the discrete Lagrange-d'Alembert principle. The discrete problem retains the conservation properties of the continuous model and achieves high fidelity simulation at a reduced computational cost. Simulation results for a single-axis rotational maneuver demonstrate vibration suppression and achieve the same accuracy as the single rate method at reduced computational cost.

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