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

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

Mathematics, 2025, vol. 13, issue 7, 1-18

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.

Keywords: rest-to-rest control; uncertainty analysis; minimum-time optimal control; variance-based sensitivity analysis; flexible structures; open-loop control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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