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Control Systems: From Mathematical Modelling to PID Control

Learn the mathematics that will allow you to model and control any engineering system. Make machines do what you want!
(683 reviews)
3,610 students
Created by


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Platform: Udemy
Video: 2h 56m
Language: English
Next start: On Demand

Table of contents


Today, control systems are everywhere: in cars, military aircrafts, interplanetary rockets, computers, fridges, washing machines, etc. As technology advances, control engineering allows us to design systems which make the most complicated machines do exactly what we want them to do with outstanding accuracy and reliabilty. 
This course gives you the opportunity to understand, use and design the following:

– Mathematical Modelling of Engineering Systems.
– Laplace Transforms and Linear Differential Equations.
– Systems’ Transfer Functions, Stability and Block Diagrams.
– Open Loop Control, Closed Loop Control and Steady State Performance.
– Proportional (P), Proportional Integral (PI), Proportional Derivative (PD), Proportional Derivative Feedback (PDFB) Controllers.
– Proportional Integral Derivative (PID) Controller Design and Empirical Ziegler-Nichols Method.

I will thoroughly detail and walk you through each of these concepts and techniques and explain down to their fundamental principles, all concepts and subject-specific vocabulary. This course is the ideal beginner, intermediate or advanced learning platform for control systems, the mathematics and the engineering behind them. Whatever your background, whether you are a student, an engineer, a sci-fi addict, an amateur roboticist, a drone builder, a computer scientist or a business or sports person, you will understand the brains behind our most advanced technologies!
If you have questions at any point of your progress along the course, do not hesitate to contact me, it will be my pleasure to answer you within 24 hours!
If this sounds like it might interest you, for your personal growth, career or academic endeavours, I strongly encourage you to join! You won’t regret it!

You will learn

✓ Understand how systems and signals interact in engineering systems.
✓ Model mechanical engineering systems mathematically.
✓ Model electrical and electro-mechanical engineering systems mathematically.
✓ Apply Laplace Transforms to engineering systems and easily solve differential equations.
✓ Fully understand and manipulate transfer functions.
✓ Fully understand stability in engineering systems.
✓ Manipulate and use block diagrams for engineering systems and control design.
✓ Understand and fully grasp control theory including open loop and closed loop control.
✓ Design Proportional (P), Proportional Integral (PI), Proportional Derivative (PD), Proportional Derivative Feedback (PDFB) and Proportional Integral Derivative (PID) controllers.
✓ Use the Empirical Ziegler Nichols Method to design effective P, PI and PID controllers.


• Basic understanding of physics (force, velocity, acceleration, pressure, etc).
• High School mathematics level up to differentiation, integration (complex numbers are useful but not mandatory)

This course is for

• Anyone interested in fully understanding robotics and control in engineering systems.
• Anyone interested in learning how to control machines accurately and effectively.
Aerospace Engineer and Founder @FuroSystems
I have always been impressed and passionate about flying machines and the ultimate frontier that space represents. This led me to graduate from a Masters in Aerospace Engineering as one of the top students at a leading UK university. Throughout this degree I was offered the opportunity to understand and apply advanced engineering concepts to different design projects.
In my final year, I consequently designed a proof of concept nuclear battery or Radioisotope Thermoelectric Generator (refer to my courses to learn more about these) for nanosatellites which was judged by academics as one of the best projects of my department, won the Reaction Engines prize and presented at the 4th Interplanetary Cubesat Workshop. Similarly, I developed, with a team of colleagues, an unmanned rotorcraft able to fight fires, carry cargo and surveillance missions which eventually won a design competition for Agusta Westland.
I went on to found FuroSystems, a company which designs, manufactures and retails ultra light high performance electric vehicles. Our goal is to help accelerate society’s transition to electric means of transportation through aesthetic, powerful and affordable machines. We are now present in over 30 countries and have sold 1000s of units.
I am very excited to be able to share my knowledge with curious individuals, who like me want to know more about the engineering behind the wonderful machines that populate our world.
Browse all courses by on Coursemarks.
Platform: Udemy
Video: 2h 56m
Language: English
Next start: On Demand

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