Control of Nonlinear Spacecraft Attitude Motion

  • 4.7
Approx. 31 hours to complete

Course Summary

Learn the principles of nonlinear spacecraft attitude control, including geometric mechanics and Lyapunov-based control design.

Key Learning Points

  • Understand the principles of attitude dynamics and control for spacecraft.
  • Learn Lyapunov-based control design.
  • Explore geometric mechanics and its applications to spacecraft attitude control.
  • Develop an understanding of nonlinear control techniques.
  • Learn about practical implementation issues in spacecraft attitude control.

Related Topics for further study


Learning Outcomes

  • Ability to design and implement nonlinear control techniques for spacecraft attitude control.
  • Understanding of geometric mechanics and its applications to spacecraft attitude control.
  • Experience with practical implementation issues in spacecraft attitude control.

Prerequisites or good to have knowledge before taking this course

  • Working knowledge of linear control theory
  • Familiarity with nonlinear dynamics

Course Difficulty Level

Intermediate

Course Format

  • Online
  • Self-paced

Similar Courses

  • Introduction to Spacecraft Systems and Design
  • Spacecraft Dynamics and Control
  • Astrodynamics: Orbital Motion

Related Education Paths


Notable People in This Field

  • CEO of SpaceX
  • Video Game

Related Books

Description

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.

Outline

  • Nonlinear Stability Definitions
  • Course Introduction
  • Module 1 Introduction
  • 1: Overview of Nonlinear Control
  • 1.1: Overview Stability Definition Discussion
  • 1.2: Nonlinear Equations Representation
  • 2: Definition: Neighborhood
  • 3: Definitions: Lagrange Stability
  • 4: Definitions: Lyapunov Stability
  • 5: Definitions: Asymptotic Stability
  • 6: Definitions: Global Stability
  • 7: Linearizing a Dynamical System
  • Optional Review: Stability Definitions
  • Concept Check 1 - State Vector Representation
  • Concept Check 2 - State Neighborhood
  • Concept Check 3 - Lagrange Stability
  • Concept Check 4 - Lyapunov Stability
  • Concept Check 5 - Asymptotic Stability
  • Concept Check 6 - Global Stability Definitions
  • Concept Check 7 - Linearization
  • Overview of Lyapunov Stability Theory
  • Module 2 Introduction
  • 1: Overview of Definite Function
  • 2: Lyapunov Function Definition
  • 2.1: Lyapunov Asymptotic Stability
  • 3: Lyapunov Stability of Linear System
  • 4: Global Stability Applications
  • Optional Review: Definiteness
  • Optional Review: Stability Definitions
  • Optional Review: Lyapunov's Direct Method
  • 5: General Elemental Velocity Lyapunov Function
  • 5.1 Example: Multi-Link System
  • 6: Rigid Body Detumble Control
  • 7: State-Based Lyapunov Functions
  • Optional Review: Elemental Lyapunov Functions
  • Concept Check 1 - Definite Function
  • Concept Check 2 - Lyapunov Functions
  • Concept Check 3 - Asymptotic Stability
  • Concept Check 4 - Global Stability Applications
  • Concept Check 5 - General Elemental Rate
  • Concept Check 6 - Rigid Body Elemental Rate Lyapunov Function
  • Concept Check 7 - General Elemental State Lyapunov Function
  • Attitude Control of States and Rates
  • Module 3 Introduction
  • 1: Nonlinear Rigid Body State and Rate Control
  • 2: Global Stability of Nonlinear Attitude Control
  • 2.1 Example: Nonlinear Regulation Control
  • 2.2: Asymptotic Stability for Nonlinear Attitude Control
  • 3: Unmodeled Disturbance Torque
  • 4: Nonlinear Integral Control
  • 5: Feedback Gain Selection
  • Concept Check 1 - General 3-Axis Attitude Control
  • Concept Check 2 - Asymptotic Stability
  • Concept Check 3 - Unknown External Torques
  • Concept Check 4 - Integral Feedback
  • Concept Check 5 - Feedback Gain Selection
  • Alternate Attitude Control Formulations
  • Module 4 Introduction
  • 1: Lyapunov Optimal Control
  • 2: Example: Numerical Control Simulation
  • 2.1: Linear Closed-Loop Dynamics
  • 3: RW Feedback Control Law
  • Optional Review: Unconstrained Attitude Control
  • Concept Check 1 - Saturated Control
  • Concept Check 2 - Linearized Closed Loop Dynamics
  • Concept Check 3 - RW Feedback Control

Summary of User Reviews

Read reviews for the Nonlinear Spacecraft Attitude Control course on Coursera. Users overall found the course to be informative and engaging. One key aspect that many users thought was good was the practical applications of the course material.

Pros from User Reviews

  • Practical applications of course material
  • Engaging content
  • Easy to follow lectures
  • Good pacing
  • Great instructor

Cons from User Reviews

  • Some technical issues with video lectures
  • Lack of interactive elements
  • Not enough practice exercises
  • Some concepts may be difficult for beginners
  • Limited discussion forums
English
Available now
Approx. 31 hours to complete
Hanspeter Schaub
University of Colorado Boulder
Coursera

Instructor

Hanspeter Schaub

  • 4.7 Raiting
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