University of Colorado Boulder
Control of Nonlinear Spacecraft Attitude Motion
University of Colorado Boulder

Control of Nonlinear Spacecraft Attitude Motion

This course is part of Spacecraft Dynamics and Control Specialization

Taught in English

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Hanspeter Schaub

Instructor: Hanspeter Schaub

9,243 already enrolled

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Course

Gain insight into a topic and learn the fundamentals

4.7

(65 reviews)

Advanced level
Designed for those already in the industry
31 hours (approximately)
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

Details to know

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Assessments

22 quizzes

Course

Gain insight into a topic and learn the fundamentals

4.7

(65 reviews)

Advanced level
Designed for those already in the industry
31 hours (approximately)
Flexible schedule
Learn at your own pace

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This course is part of the Spacecraft Dynamics and Control Specialization
When you enroll in this course, you'll also be enrolled in this 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 quizzes

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 quizzes

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 quizzes

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 quizzes1 peer review

Instructor

Instructor ratings
4.5 (13 ratings)
Hanspeter Schaub
University of Colorado Boulder
10 Courses32,734 learners

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Recommended if you're interested in Physics and Astronomy

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4.7

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