Informações sobre o curso
4.8
23 classificações
4 avaliações
Programa de cursos integrados
100% online

100% online

Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.
Nível avançado

Nível avançado

Horas para completar

Aprox. 22 horas para completar

Sugerido: Best completed in 4 weeks, with a commitment of between 2 and 5 hours of work per week....
Idiomas disponíveis

Inglês

Legendas: Inglês
Programa de cursos integrados
100% online

100% online

Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.
Nível avançado

Nível avançado

Horas para completar

Aprox. 22 horas para completar

Sugerido: Best completed in 4 weeks, with a commitment of between 2 and 5 hours of work per week....
Idiomas disponíveis

Inglês

Legendas: Inglês

Programa - O que você aprenderá com este curso

Semana
1
Horas para completar
2 horas para concluir

Nonlinear Stability Definitions

Discusses stability definitions of nonlinear dynamical systems, and compares to the classical linear stability definitions. The difference between local and global stability is covered. ...
Reading
12 videos (Total 67 min), 7 testes
Video12 videos
Module 1 Introduction1min
1: Overview of Nonlinear Control6min
1.1: Overview Stability Definition Discussion5min
1.2: Nonlinear Equations Representation8min
2: Definition: Neighborhood3min
3: Definitions: Lagrange Stability3min
4: Definitions: Lyapunov Stability5min
5: Definitions: Asymptotic Stability6min
6: Definitions: Global Stability2min
7: Linearizing a Dynamical System6min
Optional Review: Stability Definitions16min
Quiz7 exercícios práticos
Concept Check 1 - State Vector Representation10min
Concept Check 2 - State Neighborhood4min
Concept Check 3 - Lagrange Stability4min
Concept Check 4 - Lyapunov Stability6min
Concept Check 5 - Asymptotic Stability4min
Concept Check 6 - Global Stability Definitions10min
Concept Check 7 - Linearization6min
Semana
2
Horas para completar
3 horas para concluir

Overview of Lyapunov Stability Theory

Lyapunov's direct method is employed to prove these stability properties for a nonlinear system and prove stability and convergence. The possible function definiteness is introduced which forms the building block of Lyapunov's direct method. Convenient prototype Lyapunov candidate functions are presented for rate- and state-error measures....
Reading
14 videos (Total 129 min), 7 testes
Video14 videos
1: Overview of Definite Function15min
2: Lyapunov Function Definition10min
2.1: Lyapunov Asymptotic Stability17min
3: Lyapunov Stability of Linear System4min
4: Global Stability Applications2min
Optional Review: Definiteness7min
Optional Review: Stability Definitions3min
Optional Review: Lyapunov's Direct Method9min
5: General Elemental Velocity Lyapunov Function12min
5.1 Example: Multi-Link System3min
6: Rigid Body Detumble Control20min
7: State-Based Lyapunov Functions14min
Optional Review: Elemental Lyapunov Functions2min
Quiz7 exercícios práticos
Concept Check 1 - Definite Function16min
Concept Check 2 - Lyapunov Functions22min
Concept Check 3 - Asymptotic Stability14min
Concept Check 4 - Global Stability Applications14min
Concept Check 5 - General Elemental Rate2min
Concept Check 6 - Rigid Body Elemental Rate Lyapunov Function8min
Concept Check 7 - General Elemental State Lyapunov Function4min
Semana
3
Horas para completar
2 horas para concluir

Attitude Control of States and Rates

A nonlinear 3-axis attitude pointing control law is developed and its stability is analyized using Lyapunov theory. Convergence is discussed considering both modeled and unmodeled torques. The control gain selection is presented using the convenient linearized closed loop dynamics....
Reading
8 videos (Total 82 min), 5 testes
Video8 videos
1: Nonlinear Rigid Body State and Rate Control14min
2: Global Stability of Nonlinear Attitude Control8min
2.1 Example: Nonlinear Regulation Control11min
2.2: Asymptotic Stability for Nonlinear Attitude Control5min
3: Unmodeled Disturbance Torque15min
4: Nonlinear Integral Control11min
5: Feedback Gain Selection13min
Quiz5 exercícios práticos
Concept Check 1 - General 3-Axis Attitude Control10min
Concept Check 2 - Asymptotic Stability14min
Concept Check 3 - Unknown External Torques8min
Concept Check 4 - Integral Feedback8min
Concept Check 5 - Feedback Gain Selection6min
Semana
4
Horas para completar
4 horas para concluir

Alternate Attitude Control Formulations

Alternate feedback control laws are formulated where actuator saturation is considered. Further, a control law is presented that perfectly linearizes the closed loop dynamics in terms of quaternions and MRPs. Finally, the 3-axis Lyapunov attitude control is developed for a spacecraft with a cluster of N reaction wheel control devices....
Reading
6 videos (Total 97 min), 4 testes
Video6 videos
1: Lyapunov Optimal Control30min
2: Example: Numerical Control Simulation8min
2.1: Linear Closed-Loop Dynamics21min
3: RW Feedback Control Law22min
Optional Review: Unconstrained Attitude Control13min
Quiz3 exercícios práticos
Concept Check 1 - Saturated Control16min
Concept Check 2 - Linearized Closed Loop Dynamics6min
Concept Check 3 - RW Feedback Control6min
4.8
4 avaliaçõesChevron Right

Melhores avaliações

por SDFeb 4th 2018

Excellent teaching from Professor Schaub ! Course has been very well organised and touches on the important aspects of nonlinear control. Looking forward to more courses from you.\n\nThank you !

Instrutores

Avatar

Hanspeter Schaub

Glenn L. Murphy Chair of Engineering, Professor
Department of Aerospace Engineering Sciences

Sobre University of Colorado Boulder

CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies....

Sobre o Programa de cursos integrados Spacecraft Dynamics and Control

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

Perguntas Frequentes – FAQ

  • Ao se inscrever para um Certificado, você terá acesso a todos os vídeos, testes e tarefas de programação (se aplicável). Tarefas avaliadas pelos colegas apenas podem ser enviadas e avaliadas após o início da sessão. Caso escolha explorar o curso sem adquiri-lo, talvez você não consiga acessar certas tarefas.

  • Quando você adquire o Certificado, ganha acesso a todo o material do curso, incluindo avaliações com nota atribuída. Após concluir o curso, seu Certificado eletrônico será adicionado à sua página de Participações e você poderá imprimi-lo ou adicioná-lo ao seu perfil no LinkedIn. Se quiser apenas ler e assistir o conteúdo do curso, você poderá frequentá-lo como ouvinte sem custo.

Mais dúvidas? Visite o Central de Ajuda ao Aprendiz.