About this Course

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Advanced Level
Approx. 29 hours to complete
Subtitles: English
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Advanced Level
Approx. 29 hours to complete
Subtitles: English

Offered by

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University of Colorado Boulder

Syllabus - What you will learn from this course


Week 1

2 hours to complete

Nonlinear Stability Definitions

2 hours to complete
12 videos (Total 67 min)
12 videos
Module 1 Introduction1m
1: Overview of Nonlinear Control6m
1.1: Overview Stability Definition Discussion5m
1.2: Nonlinear Equations Representation8m
2: Definition: Neighborhood3m
3: Definitions: Lagrange Stability3m
4: Definitions: Lyapunov Stability5m
5: Definitions: Asymptotic Stability6m
6: Definitions: Global Stability2m
7: Linearizing a Dynamical System6m
Optional Review: Stability Definitions16m
7 practice exercises
Concept Check 1 - State Vector Representation10m
Concept Check 2 - State Neighborhood4m
Concept Check 3 - Lagrange Stability4m
Concept Check 4 - Lyapunov Stability6m
Concept Check 5 - Asymptotic Stability4m
Concept Check 6 - Global Stability Definitions10m
Concept Check 7 - Linearization20m

Week 2

5 hours to complete

Overview of Lyapunov Stability Theory

5 hours to complete
14 videos (Total 129 min)
14 videos
1: Overview of Definite Function15m
2: Lyapunov Function Definition10m
2.1: Lyapunov Asymptotic Stability17m
3: Lyapunov Stability of Linear System4m
4: Global Stability Applications2m
Optional Review: Definiteness7m
Optional Review: Stability Definitions3m
Optional Review: Lyapunov's Direct Method9m
5: General Elemental Velocity Lyapunov Function12m
5.1 Example: Multi-Link System3m
6: Rigid Body Detumble Control20m
7: State-Based Lyapunov Functions14m
Optional Review: Elemental Lyapunov Functions2m
7 practice exercises
Concept Check 1 - Definite Function20m
Concept Check 2 - Lyapunov Functions45m
Concept Check 3 - Asymptotic Stability40m
Concept Check 4 - Global Stability Applications30m
Concept Check 5 - General Elemental Rate5m
Concept Check 6 - Rigid Body Elemental Rate Lyapunov Function8m
Concept Check 7 - General Elemental State Lyapunov Function20m

Week 3

11 hours to complete

Attitude Control of States and Rates

11 hours to complete
8 videos (Total 82 min)
8 videos
1: Nonlinear Rigid Body State and Rate Control14m
2: Global Stability of Nonlinear Attitude Control8m
2.1 Example: Nonlinear Regulation Control11m
2.2: Asymptotic Stability for Nonlinear Attitude Control5m
3: Unmodeled Disturbance Torque15m
4: Nonlinear Integral Control11m
5: Feedback Gain Selection13m
5 practice exercises
Concept Check 1 - General 3-Axis Attitude Control1h 30m
Concept Check 2 - Asymptotic Stability1h 30m
Concept Check 3 - Unknown External Torques2h 8m
Concept Check 4 - Integral Feedback2h 30m
Concept Check 5 - Feedback Gain Selection2h 30m

Week 4

10 hours to complete

Alternate Attitude Control Formulations

10 hours to complete
6 videos (Total 97 min)
6 videos
1: Lyapunov Optimal Control30m
2: Example: Numerical Control Simulation8m
2.1: Linear Closed-Loop Dynamics21m
3: RW Feedback Control Law22m
Optional Review: Unconstrained Attitude Control13m
3 practice exercises
Concept Check 1 - Saturated Control3h 45m
Concept Check 2 - Linearized Closed Loop Dynamics2h 30m
Concept Check 3 - RW Feedback Control20m



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About the Spacecraft Dynamics and Control Specialization

Spacecraft Dynamics and Control covers three core topic areas: the description of the motion and rates of motion of rigid bodies (Kinematics), developing the equations of motion that prediction the movement of rigid bodies taking into account mass, torque, and inertia (Kinetics), and finally non-linear controls to program specific orientations and achieve precise aiming goals in three-dimensional space (Control). The specialization invites learners to develop competency in these three areas through targeted content delivery, continuous concept reinforcement, and project applications. The goal of the specialization is to introduce the theories related to spacecraft dynamics and control. This includes the three-dimensional description of orientation, creating the dynamical rotation models, as well as the feedback control development to achieve desired attitude trajectories....
Spacecraft Dynamics and Control

Frequently Asked Questions

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