This course trains you in the skills needed to program specific orientation and achieve precise aiming goals for spacecraft moving through three dimensional space. First, we cover stability definitions of nonlinear dynamical systems, covering the difference between local and global stability. We then analyze and apply Lyapunov's Direct Method to prove these stability properties, and develop a nonlinear 3-axis attitude pointing control law using Lyapunov theory. Finally, we look at alternate feedback control laws and closed loop dynamics.
Control of Nonlinear Spacecraft Attitude Motion
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Control of Nonlinear Spacecraft Attitude Motion
This course is part of Spacecraft Dynamics and Control Specialization
Instructor: Hanspeter Schaub
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4.7
(68 reviews)
Advanced level
Designed for those already in the industry
31 hours to complete
3 weeks at 10 hours a week
Flexible schedule
Learn at your own pace
What you'll learn
Differentiate between a range of nonlinear stability concepts
Apply Lyapunov’s direct method to argue stability and convergence on a range of dynamical systems
Develop rate and attitude error measures for a 3-axis attitude control using Lyapunov theory
Analyze rigid body control convergence with unmodeled torque
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Assessments
22 assignments
Taught in English
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This course is part of the Spacecraft Dynamics and Control Specialization
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There are 4 modules in this course
Discusses stability definitions of nonlinear dynamical systems, and compares to the classical linear stability definitions. The difference between local and global stability is covered.
What's included
12 videos7 assignments
Lyapunov's direct method is employed to prove these stability properties for a nonlinear system and prove stability and convergence. The possible function definiteness is introduced which forms the building block of Lyapunov's direct method. Convenient prototype Lyapunov candidate functions are presented for rate- and state-error measures.
What's included
14 videos7 assignments
A nonlinear 3-axis attitude pointing control law is developed and its stability is analyized using Lyapunov theory. Convergence is discussed considering both modeled and unmodeled torques. The control gain selection is presented using the convenient linearized closed loop dynamics.
What's included
8 videos5 assignments
Alternate feedback control laws are formulated where actuator saturation is considered. Further, a control law is presented that perfectly linearizes the closed loop dynamics in terms of quaternions and MRPs. Finally, the 3-axis Lyapunov attitude control is developed for a spacecraft with a cluster of N reaction wheel control devices.
What's included
6 videos3 assignments1 peer review
Instructor
Instructor ratings
4.6 (15 ratings)Offered by
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