Control Systems Analysis: Modeling of Dynamic Systems
Master dynamic system modeling & control theory: Laplace transforms, transfer functions, stability analysis.
Master dynamic system modeling & control theory: Laplace transforms, transfer functions, stability analysis.
This course explores modeling of dynamic systems and feedback control, covering Laplace transforms, differential equations, and transfer functions. Students learn to derive equations for mechanical, electrical, and electromechanical systems, analyze dynamic responses, and assess system stability. The curriculum includes block diagram analysis, transient step response specifications, and stability criteria like BIBO and Routh's method. Designed for those with basic Laplace transform knowledge, it equips learners to navigate control systems and dynamic modeling intricacies.
4.7
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What you'll learn
Derive differential equations and transfer functions for simple mechanical, electrical, and electromechanical systems
Analyze the dynamic response of 1st and 2nd order systems
Explain the relationship between pole locations of 2nd-order systems and common step response performance specifications
Characterize Bounded-Input Bounded-Output (BIBO) stability and determine the number of unstable roots using Routh's stability criterion
Apply block diagram manipulation techniques to analyze complex interconnected systems
Use initial/final value theorems to calculate time-domain signal values from Laplace-domain representations
Skills you'll gain
This course includes:
7.3 Hours PreRecorded video
6 quizzes,5 assignments
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There are 5 modules in this course
This course delves into the modeling of dynamic systems and feedback control. It begins with an introduction to control theory and Laplace transforms for solving differential equations. Students learn to derive equations for mechanical, electrical, and electromechanical systems using fundamental principles. The course covers block diagram analysis, dynamic response of 1st and 2nd order systems, and transient step response specifications. It also explores Bounded-Input Bounded-Output (BIBO) stability and Routh's stability criterion. By the end, students will be equipped to model, analyze, and design stable control systems across various domains.
Introduction to Control Systems and Laplace Transforms
Module 1 · 2 Hours to complete
Modeling of Physical Systems
Module 2 · 2 Hours to complete
Block Diagram Analysis and Dynamic Response
Module 3 · 2 Hours to complete
Transient Step Response Specifications
Module 4 · 3 Hours to complete
Modeling From Transient Response Data and Stability
Module 5 · 3 Hours to complete
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Instructor
Professor at the University of Colorado Boulder
Dr. Lucy Y. Pao is the Richard and Joy Dorf Professor in the Electrical, Computer, and Energy Engineering Department at the University of Colorado Boulder. Her research primarily focuses on control systems, with applications in flexible structures, atomic force microscopes, disk drives, tape systems, and wind turbines and farms. She earned her B.S., M.S., and Ph.D. degrees in Electrical Engineering from Stanford University. Dr. Pao has held several notable positions in professional societies, including General Chair for the 2013 American Control Conference and IEEE Control Systems Society Distinguished Lecturer. She was elevated to IEEE Fellow in 2012 and received the IEEE Control Systems Magazine Outstanding Paper Award in the same year. Additionally, she was elected Fellow of the International Federation of Automatic Control (IFAC) in 2013. Dr. Pao teaches "Control Systems Analysis: Modeling of Dynamic Systems" and has delivered plenary talks on wind energy control at prominent conferences.
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4.7 course rating
17 ratings
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