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

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.