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In diesem Kurs gibt es 2 Module
Spacecraft relative motion control solutions stabilize the spacecraft relative to another spacecraft. This is useful control the approach prior to docking, to circumnavigate while inspect the target object, or to remain in a bounded vicinity about the target. This course covers the basics of nonlinear control theory to apply Lyapunov's direct method to the relative motion control problem. Feedback control strategies using inertial coordinates, differential orbit elements and Hill frame coordinates are studied. Reference relative motions are considered that are either naturally occurring or require a feed-forward control component.
After this course, you will be able to...
* Develop nonlinear relative motion control strategies
* Discuss the stability guarantees of these control solutions
* Numerically simulate the relative motion control solutions
* Create reference motions that are natural and don't require control effort when the tracking errors have converged
* Study the impact of uncertain dynamics and control errors.
Please note: this is an advanced course, best suited for working engineers or students with college-level knowledge in mathematics and physics.
The material covered is taking from the book "Analytical Mechanics of Space Systems" available at https://arc.aiaa.org/doi/book/10.2514/4.105210.
The basics of nonlinear stability of dynamical systems is reviewed. A range of stability definitions are reviewed. The general methodology to develop feedback controls using Lyapunov's princple is presented.
Das ist alles enthalten
15 Videos1 Lektüre9 Aufgaben
Infos zu Modulinhalt anzeigen
15 Videos•Insgesamt 155 Minuten
Welcome to the Course!•7 Minuten
Introduction for Control of Relative Motion•8 Minuten
Introduction to Nonlinear Control Concepts•6 Minuten
Control State Definitions•11 Minuten
Nonlinear Stability Definitions•17 Minuten
Review: Nonlinear Stability Concepts •10 Minuten
Linearizing About a Reference Trajectory•10 Minuten
Modal Stability Analysis of Linear System•8 Minuten
Definite Functions•13 Minuten
Stability Analysis with Lyapunov Functions•20 Minuten
Review: Definite Functions and Lyapunov Stability Analysis•9 Minuten
Example: Rigid Body Rate Control•15 Minuten
Lyapunov Stability Analysis of Linear System•3 Minuten
Definite Functions of Non-Autonomous Systems•4 Minuten
Lyapunov Stability of Non-Autonomous Systems•13 Minuten
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