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Analyzing the Impact of Process Noise for a Flexible Structure During the Minimum-Time Rest-to-Rest Slew Maneuver

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  • Shambo Bhattacharjee

    (Mechanical and Aerospace Engineering, Naval Postgraduate School, 1 University Circle, Monterey, CA 93943, USA)

Abstract

The rest-to-rest control of a robotic structure having one or more flexible modes while performing a slew maneuver is a challenging problem. In fact, quite a few articles discussed the optimal rest-to-rest slewing solution for various systems. However, the planning of rest-to-rest maneuvers under the influence of uncertainty has not yet been properly analyzed. This article first solves the minimum-time rest-to-rest slewing control problem under uncertainty for an undamped planar spacecraft model with a single flexible mode. Then, it performs tests similar to the Sobol’ indices using analytical formulations and presents a numerical example to understand the contribution of each variance to the overall variance.

Suggested Citation

  • Shambo Bhattacharjee, 2025. "Analyzing the Impact of Process Noise for a Flexible Structure During the Minimum-Time Rest-to-Rest Slew Maneuver," Mathematics, MDPI, vol. 13(7), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1144-:d:1624648
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    References listed on IDEAS

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    1. Aihua Zhang & Yongchao Wang & Zhiqiang Zhang & Hamid Reza Karimi, 2014. "Robust Control Allocation for Spacecraft Attitude Stabilization under Actuator Faults and Uncertainty," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-12, February.
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