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Lecture Notes: Classical Control Systems

This lecture note is written with a specific intention for the undergraduate course: Basic Control Systems in Shanghai Maritime University(上海海事大学). But I think it would be helpful to share this lecture note on my website such that a wider group of readers can benefit from this piece of work. If you have suggestions or found a mistake, you can discover my email address on the front page.

The main parts of this lecture note is written for students with some experience with undergraduate level calculus, ordinary differential equations, complex analysis, integral transform, Newtonian mechanics, circuit analysis. . In case some terms look unfamiliar to you, some supplementary sections will be compiled but that's of the low priority of my current work.

All sections in pdf format will be released here on this webpage.

Part 1| Fundamental Concepts: Control Systems

Part 2| ODEs and Physical Systems

Part 3| Analyzing Transfer Functions

Part 4| Closed-loop Gains and PID Control

Part 5| Frequency Domain Analysis

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Recap: Calculus

Recap: ODE

Recap: Integral Transform

Recap: Complex Analysis

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For those who fancy a bit of exercise questions, you may discover the course-companion exercise sets and exam papers below.

Stage ONE Exercises

Stage ONE refers to the first part of this course, which we cover the following topics:

fundamental concepts and terminologies, system modelling, Laplace transform, analyzing transfer functions

Stage TWO Exercises

Stage TWO refers to the second part of this course, which we cover the following topics:

the analysis of the closed-loop gain using Root-Locus, frequency domain analysis using Bode plots and Nyquist stability criteria.

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formula sheet

Test Exam 1

Test Exam 2

Test Exam 3

Test Exam 4

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