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Control Systems Analysis: Modeling of Dynamic Systems · LearnSpace
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Control Systems Analysis: Modeling of Dynamic Systems

Курс от University of Colorado Boulder
Средний≈ 14.8 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

In this course, you'll explore modeling of dynamic systems and feedback control. The course begins with an introduction of control theory and the application of Laplace transforms in solving differential equations, providing a strong foundation in linearity, time-invariance, and dynamic system modeling. The following week will delve into the laws governing the modeling of dynamic systems, with a focus on deriving differential equations from fundamental principles like Newton's laws and Kirchhoff's laws, as well as mastering the representation of systems as transfer functions in the Laplace domain. The third week delves deeper into Laplace transforms, emphasizing initial/final value theorems, block diagram manipulation, and dynamic response analysis. Moving into the fourth week, you'll learn to analyze system performance using transient step response specifications, enabling you to assess and optimize system behavior effectively. Finally, in the fifth week, you'll explore Bounded-Input Bounded-Output (BIBO) stability and Routh's stability criterion, gaining the skills to assess, analyze, and design stable systems. By the course's end, you'll be well-equipped to navigate the intricacies of control systems and dynamic modeling.

Навыки, которые вы освоите

Control SystemsMathematical ModelingDifferential EquationsSystems AnalysisApplied MathematicsEngineering AnalysisDesign SpecificationsMechanicsSystems ThinkingElectrical SystemsPerformance TestingMechanical Engineering

Программа курса

5 модулей · 63 учебных материалов

01Introduction to Control Systems and Laplace Transforms14 материалов

Course Introduction

Course Updates and Accessibility SupportЧтениеNon-Credit Students: Welcome and Where to Find HelpЧтение Meet Your Instructor!ВидеоCourse IntroductionВидео

Major Elements of a Control System

Учитесь у экспертов

Dr. Lucy Pao

Professor

Control Systems Analysis: Modeling of Dynamic Systems
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Обучение на Coursera

≈ 14.8 ч

5 модулей

Язык: Английский

Часть программы вашего университета
Week 1 Introduction Видео
Introduction to Control Systems Видео
Introduction to ModelingВидео
Why Use Feedback?Видео

Laplace and Inverse Laplace Transforms

Laplace Transform ReviewВидеоMagnitude and phase of F(s)ЗаданиеLaplace Transform PropertiesВидеоInverse Laplace TransformsВидеоDifferential Equation with Non-Zero I.C.sЗадание

End of Week Assignment

Week 1 AssessmentЗадание
02Modeling of Physical Systems11 материалов

Modeling Mechanical Systems

Week 2 IntroductionВидеоModeling Mechanical SystemsВидеоCart Motion ExampleВидеоPendulum Model and LinearizationВидео

Modeling Electrical Systems

Modeling Electrical SystemsВидеоLead Network ExampleВидеоOp-Amp ExampleВидео

Modeling Electromechanical Systems

Modeling Electromechanical SystemsВидеоDC Motor ModelВидеоModeling SummaryВидео

End of Week Assessment

Week 2 AssessmentЗадание
03Block Diagram Analysis and Dynamic Response11 материалов

Block Diagram Analysis

Week 3 IntroductionВидеоLaplace Transform Initial and Final Value TheoremsВидеоBlock Diagram AnalysisВидеоBlock Diagram AnalysisЗадание

Dynamic Response

Introduction to Dynamic ResponseВидеоImpulse Responses of First-Order SystemsВидеоImpulse Responses of Second-Order SystemsВидеоStep Responses of First-Order SystemsВидеоStep Responses of Second-Order SystemsВидеоSummary of Dynamic ResponsesВидео

End of Week Assessment

Week 3 AssessmentЗадание
04Transient Step Response Specifications14 материалов

Transient Step Response Specifications, Analysis, and Design

Week 4 Introduction ВидеоTransient Step Response Performance SpecificationsВидеоRise Time and Settling Time Specifications and Desired Pole LocationsВидео5% Settling TimeЗаданиеPeak Time and Overshoot Specifications and Desired Pole LocationsВидеоTransient Response Specifications and Analysis Versus DesignВидео

Effects of Zeros and Additional Poles

Introduction to Effects of Zeros and Additional PolesВидеоDC Gain of a SystemВидеоEffects of Zeros: TrendsВидеоEffects of Zeros: Analytical Explanation, and Non-Minimum Phase ZerosВидеоEffects of Additional PolesВидеоNear Pole-Zero CancellationsВидео

End of Week Assessment

Week 4 AssessmentЗадание
05Modeling From Transient Response Data and Stability13 материалов

Modeling From Transient Step Response Data

Week 5 Introduction ВидеоModeling from Transient Step Response DataВидеоExample and Introduction to Proportional ControlВидео

Stability and Routh’s Stability Criterion

Bounded-Input Bounded-Output (BIBO) Stability – Sufficient ConditionВидеоBIBO Stability – Necessary and Sufficient ConditionВидеоBIBO Stability – Frequency Domain ConditionВидеоReview of Matrix DeterminantsЗаданиеRouth’s Stability Criterion – Necessary ConditionВидеоRouth’s Stability Criterion – Necessary and Sufficient ConditionВидеоRouth’s Stability Criterion – ExampleВидеоRouth’s Stability Criterion – Overview of Special CasesВидеоRouth's Stability Criterion Proportional ControlЗадание

End of Week Assessment

Week 5 AssessmentЗадание
Summary of Effects of Additional Zeros and PolesВидео