Dream Chaser On-Orbit Operations: Preliminary Trajectory Design and Analysis

Resilient Trajectory Tracking to Partial Loss of Control Authority over Actuators with Actuation Delay

“…Remark. The proof of Theorem 1 is actually valid for all nonlinear systems of the form ẋ(t) = f t, x(t) + g t, x(t) B ū(t), and not just for system (2). The reverse implication of Theorem 1 remains an open question for nonlinear dynamics.…”

“…Proof. Following Theorem 1, we will prove controllability of system (4) to obtain resilience of system (2). Because −CW ⊆ int BU , we have 0 ∈ int P , as seen on Fig.…”

“…Inspired by the method described in Section 9.3 of [25], we will now show that Y (t) is bounded, which in turn will prove that Bu ε (t) ∈ P ε and hence that control law ( 18) is admissible. We consider the derivative of the norm Y (t) P Y (t) = Y (t) 2 P and obtain the following:…”

“…With an increase in the number of active satellites, there is a growing demand for on-orbit satellite inspection, e.g., to assess damage on satellites, prevent unnecessary spacewalks of astronauts, or enforce the ban of space weapons [2,3,4]. The importance of satellite inspection is also reflected by the creation of spacecraft entirely dedicated to on-orbit inspections, like the robot Laura from the Rogue Space Systems Corporation 1 .…”