Control Systems Analysis: Modeling of Dynamic Systems
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.
Status: Applied Mathematics
Applied Mathematics
Status: Differential Equations
Differential Equations
Intermediate·Course·15 hours
Featured reviews
4.0
·Reviewed Jun 26, 2026
Very hard if you don't know what you're doing. Final is harder than homeworks
5.0
·Reviewed Mar 19, 2024
Fairly good class. Students with experience in diff eqs should find it challenging. I would recommend creating extra material in using software like Mathematica or Matlab to help solve problems.
4.0
·Reviewed Oct 26, 2025
in the course, some questions were hard to understand. For future courses if possible, add conceptual hints for solving the problems.
5.0
·Reviewed Apr 24, 2025
The most amazing and useful material i could find
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Wes
3.0
·Reviewed Feb 3, 2024
Coursera did not recognize this class as a Coursera-plus class even though they advertised as such. Took 3 weeks to resolve. The following on class listed at complete "Frequency Domain" links do not lead anywhere. If Routh stability matrix is taught, should show how to use symbolic computer programs to calculate. Notes not provide and when presenting math equations instructor moves to fast to copy. This is only true control systems course I could find on Coursera. 4-star course, 1-star Coursera --> 3 stars.
C
Claude
4.0
·Reviewed May 21, 2024
As an engineer who has taken this course as a refresher, I found Dr. Pao's lectures to be excellent, clear and she presented exactly what I needed. The assignments were challenging (Matlab helps). The last assignment present a graph output of a step function where the amplitude of the step was 2. If one measures (I did so precisely with a mm ruler on a blown up image) the rise time, the peak time and the time to 1% steady state, one ends up with 3 very different values for the natural frequency of the system. This leads to confusion and varying result. This question could be replaced with something that renders consistent results.
J
Jalil
5.0
·Reviewed Mar 20, 2024
Fairly good class. Students with experience in diff eqs should find it challenging. I would recommend creating extra material in using software like Mathematica or Matlab to help solve problems.
C
Clint
5.0
·Reviewed Jun 4, 2025
Great introduction to understanding how control theory works. Not too easy or too difficult. However, this course stops at proportional control, so there is no analysis of PID control. This is supposed to be the first of 3 courses, but only the first is available.
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Waseem
5.0
·Reviewed Jul 21, 2026
Excellent course with clear and well-structured explanations. I gained a much better understanding of dynamic system modeling and control system analysis. Thanks to Dr. Lucy Pao for her excellent teaching and for sharing her knowledge.
A
Arannya
5.0
·Reviewed Mar 27, 2025
A great introduction to Control Theory for someone with a fair amount of mathematical / engineering background.
M
Mahmoud
5.0
·Reviewed Jan 24, 2024
very good course , I am really looking forward to more courses like this one
A
Asim
5.0
·Reviewed Nov 17, 2024
Thanks to dr Lucy pao never seen a teacher like him
