К содержимому
learnspaceYOUR NEXT CHAPTER
ПРОСТРАНСТВО ОБУЧЕНИЯ
ГлавнаяКаталог курсовМоё обучениеCoursera

Знания без границ

Учитесь у лучших университетов и компаний мира.

Открыть Coursera
Интеграция
Пространство университета
Моё пространствоСтраница курса
↵
ЯЛичный кабинетСтудент
© 2026 LearnSpaceКаждый день — возможность узнать больше.Помощь
Control of Nonlinear Spacecraft Attitude Motion · LearnSpace
Назад в каталог
courseraИнженерия

Control of Nonlinear Spacecraft Attitude Motion

Курс от University of Colorado Boulder
Продвинутый≈ 31.5 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

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. After this course, you will be able to... * 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 The material covered is taking from the book "Analytical Mechanics of Space Systems" available at https://arc.aiaa.org/doi/book/10.2514/4.105210.

Навыки, которые вы освоите

Control SystemsDifferential EquationsApplied MathematicsTorque (Physics)Mathematical ModelingLinear AlgebraSystems AnalysisMechanicsEngineering Analysis

Программа курса

4 модулей · 64 учебных материалов

01Nonlinear Stability Definitions20 материалов

Introductions

Course Updates and Accessibility SupportЧтениеCourse IntroductionВидеоModule 1 IntroductionВидео

Fundamental Definitions

1: Overview of Nonlinear ControlВидео

Учитесь у экспертов

Hanspeter Schaub

Glenn L. Murphy Chair in Engineering, Professor

Control of Nonlinear Spacecraft Attitude Motion
В каталоге вашей программы

Инвестируйте в себя

Новые знания — в удобное для вас время.

Начать на Coursera

Обучение откроется на Coursera
в новой вкладке

Обучение на Coursera

≈ 31.5 ч

4 модулей

Язык: Английский

Субтитры: Арабский, Французский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Русский, Тайский, Индонезийский, Шведский, Турецкий, Испанский, Хинди, Японский, Казахский, Польский

Часть программы вашего университета
1.1: Overview Stability Definition DiscussionВидео
1.2: Nonlinear Equations RepresentationВидео
Concept Check 1 - State Vector RepresentationЗадание
2: Definition: NeighborhoodВидео
Concept Check 2 - State NeighborhoodЗадание

Nonlinear Stability Definitions

3: Definitions: Lagrange StabilityВидеоConcept Check 3 - Lagrange StabilityЗадание4: Definitions: Lyapunov StabilityВидеоConcept Check 4 - Lyapunov StabilityЗадание5: Definitions: Asymptotic StabilityВидеоConcept Check 5 - Asymptotic StabilityЗадание6: Definitions: Global StabilityВидеоConcept Check 6 - Global Stability DefinitionsЗадание7: Linearizing a Dynamical SystemВидеоConcept Check 7 - LinearizationЗаданиеOptional Review: Stability DefinitionsВидео
02Overview of Lyapunov Stability Theory21 материалов

Lyapunov's Direct Method

Module 2 IntroductionВидео1: Overview of Definite FunctionВидеоConcept Check 1 - Definite FunctionЗадание2: Lyapunov Function DefinitionВидео2.1: Lyapunov Asymptotic StabilityВидеоConcept Check 2 - Lyapunov FunctionsЗадание3: Lyapunov Stability of Linear SystemВидеоConcept Check 3 - Asymptotic StabilityЗадание4: Global Stability ApplicationsВидеоConcept Check 4 - Global Stability ApplicationsЗаданиеOptional Review: DefinitenessВидеоOptional Review: Stability DefinitionsВидеоOptional Review: Lyapunov's Direct MethodВидео

Prototype Lyapunov Functions

5: General Elemental Velocity Lyapunov FunctionВидео5.1 Example: Multi-Link SystemВидеоConcept Check 5 - General Elemental RateЗадание6: Rigid Body Detumble ControlВидеоConcept Check 6 - Rigid Body Elemental Rate Lyapunov FunctionЗадание7: State-Based Lyapunov FunctionsВидео
03Attitude Control of States and Rates13 материалов

Lyapunov Attitude Control Development

Module 3 IntroductionВидео1: Nonlinear Rigid Body State and Rate ControlВидеоConcept Check 1 - General 3-Axis Attitude ControlЗадание2: Global Stability of Nonlinear Attitude ControlВидео2.1 Example: Nonlinear Regulation ControlВидео2.2: Asymptotic Stability for Nonlinear Attitude ControlВидеоConcept Check 2 - Asymptotic StabilityЗадание

Lyapunov Attitude Control Properties

3: Unmodeled Disturbance TorqueВидеоConcept Check 3 - Unknown External TorquesЗадание4: Nonlinear Integral ControlВидеоConcept Check 4 - Integral FeedbackЗадание5: Feedback Gain SelectionВидеоConcept Check 5 - Feedback Gain SelectionЗадание
04Alternate Attitude Control Formulations10 материалов

Attitude Control Implementations

Module 4 IntroductionВидео1: Lyapunov Optimal ControlВидеоConcept Check 1 - Saturated ControlЗадание2: Example: Numerical Control SimulationВидео2.1: Linear Closed-Loop DynamicsВидеоConcept Check 2 - Linearized Closed Loop DynamicsЗадание3: RW Feedback Control LawВидеоConcept Check 3 - RW Feedback ControlЗаданиеOptional Review: Unconstrained Attitude ControlВидео

Nonlinear Control Peer Assignment

Nonlinear Control Final AssignmentВзаимная проверка
Concept Check 7 - General Elemental State Lyapunov FunctionЗадание
Optional Review: Elemental Lyapunov FunctionsВидео