About this Course

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Advanced Level
Approx. 31 hours to complete
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. 31 hours to complete
English

Offered by

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University of Colorado Boulder

Syllabus - What you will learn from this course

Week
1

Week 1

4 hours to complete

Nonlinear Stability Definitions

4 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 Representation30m
Concept Check 2 - State Neighborhood30m
Concept Check 3 - Lagrange Stability30m
Concept Check 4 - Lyapunov Stability30m
Concept Check 5 - Asymptotic Stability30m
Concept Check 6 - Global Stability Definitions30m
Concept Check 7 - Linearization20m
Week
2

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 Function30m
Concept Check 7 - General Elemental State Lyapunov Function20m
Week
3

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

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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