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There are 2 modules in this course
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.
What's included
15 videos1 reading9 assignments
Show info about module content
15 videos•Total 155 minutes
Welcome to the Course!•7 minutes
Introduction for Control of Relative Motion•8 minutes
Introduction to Nonlinear Control Concepts•6 minutes
Control State Definitions•11 minutes
Nonlinear Stability Definitions•17 minutes
Review: Nonlinear Stability Concepts •10 minutes
Linearizing About a Reference Trajectory•10 minutes
Modal Stability Analysis of Linear System•8 minutes
Definite Functions•13 minutes
Stability Analysis with Lyapunov Functions•20 minutes
Review: Definite Functions and Lyapunov Stability Analysis•9 minutes
Example: Rigid Body Rate Control•15 minutes
Lyapunov Stability Analysis of Linear System•3 minutes
Definite Functions of Non-Autonomous Systems•4 minutes
Lyapunov Stability of Non-Autonomous Systems•13 minutes
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Is financial aid available?
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