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Hanspeter Schaub

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.

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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.

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What's inside

Syllabus

Basics of Nonlinear Control using Lyapunov's Principle
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.
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Relative Motion Feedback Control
Develop feedback control strategies to drive a spacecraft towards a desired relative trajectory.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Develops nonlinear relative motion control strategies, which is useful for controlling spacecraft approaches and inspections
Explores the stability guarantees of control solutions, which helps learners understand the reliability and limitations of these strategies
Instructs students on how to numerically simulate relative motion control solutions, which is crucial for testing and validating these strategies before implementation
Helps learners create reference motions that are natural and don't require constant control effort, which can improve spacecraft efficiency and autonomy
Examines the impact of uncertain dynamics and control errors, which is critical for understanding the robustness and limitations of these control solutions in real-world scenarios
Requires students to have college-level knowledge in mathematics and physics, which may limit accessibility for some learners

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Spacecraft Relative Motion Control with these activities:
Tutorial on Feedback Control with Inertial Coordinates
Feedback control strategies using inertial coordinates are essential for controlling spacecraft relative motion. Using guided tutorials to learn about these strategies will help you comprehend this key concept.
Browse courses on Feedback Control
Show steps
  • Watch video lectures
  • Work through practice problems
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Career center

Learners who complete Spacecraft Relative Motion Control will develop knowledge and skills that may be useful to these careers:
Professor
A Professor teaches and conducts research in various fields, including spacecraft relative motion control. This course provides a solid theoretical foundation for this role by covering the basics of nonlinear control theory, feedback control strategies, and reference relative motions.
Research Scientist
A Research Scientist conducts research in various fields, including spacecraft relative motion control. This course provides a solid theoretical foundation for this role by covering the basics of nonlinear control theory, feedback control strategies, and reference relative motions.
Guidance, Navigation, and Control Engineer
A Guidance, Navigation, and Control Engineer designs and implements systems for guiding, navigating, and controlling spacecraft. This course provides a solid theoretical foundation for this role by covering the basics of nonlinear control theory, feedback control strategies, and reference relative motions.
Trajectory Analyst
A Trajectory Analyst designs and analyzes spacecraft trajectories. This course provides a solid theoretical foundation for this role by covering the basics of nonlinear control theory, feedback control strategies, and reference relative motions.
Control Systems Engineer
A Control Systems Engineer designs and implements control systems for various applications, including spacecraft. This course could be useful for this role as it provides a foundation in nonlinear control theory, which is used in the design of spacecraft relative motion control systems.
Vehicle Dynamics Engineer
A Vehicle Dynamics Engineer analyzes and designs the dynamics of vehicles, including spacecraft. This course provides a solid theoretical foundation for this role by covering the basics of nonlinear control theory, feedback control strategies, and reference relative motions.
Systems Engineer
A Systems Engineer designs, integrates, and tests complex systems, including spacecraft. This course provides a theoretical basis for understanding the behavior of spacecraft in relative motion, which may be useful in this role.
Test Engineer
A Test Engineer plans and conducts tests on spacecraft and their subsystems. This course provides a solid theoretical foundation for this role by covering the basics of nonlinear control theory, feedback control strategies, and reference relative motions.
Aerospace Engineer
An Aerospace Engineer designs, builds, and tests aircraft, spacecraft, and missiles. This course may be useful in building a foundation for this role by providing a theoretical basis for understanding the behavior of spacecraft in relative motion.
Operations Engineer
An Operations Engineer is responsible for the day-to-day operation of spacecraft. This course provides a theoretical basis for understanding the behavior of spacecraft in relative motion, which may be useful in this role.
Software Engineer
A Software Engineer designs, develops, and tests software systems. This course may be useful for this role as it provides a foundation in nonlinear control theory, which is used in the development of software for spacecraft relative motion control systems.
Mission Analyst
A Mission Analyst plans and analyzes spacecraft missions. This course may be useful in building a foundation for this role by providing an understanding of the dynamics of spacecraft relative motion.
Propulsion Engineer
A Propulsion Engineer designs and develops propulsion systems for spacecraft. This course may be useful in building a foundation for this role by providing an understanding of the dynamics of spacecraft relative motion.
Satellite Communications Engineer
A Satellite Communications Engineer designs, builds, and tests satellite communications systems. This course may be useful in building a foundation for this role by providing an understanding of the dynamics of spacecraft relative motion.
Robotics Engineer
A Robotics Engineer designs, builds, and tests robots. This course may be useful in building a foundation for this role by providing a theoretical basis for understanding the behavior of spacecraft in relative motion.

Reading list

We've selected nine books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Spacecraft Relative Motion Control.
Provides a comprehensive overview of spacecraft attitude dynamics and control. It valuable resource for anyone who wants to learn more about this topic.
Provides a comprehensive overview of spacecraft mission analysis and design. It valuable resource for anyone who wants to learn more about this topic.
Provides a comprehensive overview of spacecraft dynamics and control, covering both classical and modern control techniques. It valuable resource for anyone who wants to learn more about this topic.
Provides a comprehensive overview of astrodynamics. It valuable resource for anyone who wants to learn more about this topic.
Provides a rigorous introduction to nonlinear control systems. It valuable resource for anyone who wants to learn more about this topic.
Provides a clear and concise introduction to feedback control of dynamic systems. It valuable resource for anyone who wants to learn more about this topic.
Provides a comprehensive overview of Lyapunov stability theory. It valuable resource for anyone who wants to learn more about this topic.

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