Lecture Notes

 

1. BASIC SYSTEM PROPERTIES

1.1 Systems and Subsystems, 1.2 Causality, 1.3 Memory, 1.4 Time Invariance, 1.5 Discrete Time, Continuous Time, 1.6 Stability (PDF)

1.7 Linearity - the Big One, 1.8 The Concept of State (PDF)

1.9 Test Inputs, 1.10 Some Comments on Modelling (PDF)

 

2. TIME-DOMAIN ANALYSIS OF SYSTEMS

2.1 System Response by Superposition – Discrete Time (PDF)

2.2 Arbitrary Inputs – the Convolution Summation (PDF)

2.3 Response by Superposition – Continuous Time (PDF)

2.4 Arbitrary Inputs – Convolution Integral (PDF)

2.5 Discrete Time Approximation of Continuous Time Systems (PDF)

3. FINITE ORDER SYSTEMS IN THE TIME DOMAIN

3.1 Differential and Difference Equation Representation of Some Systems, 3.2 Review of Differential Equation Solution (PDF)

3.3 Difference Equation Representation and Solution (PDF)

3.4 Simulation Diagrams (PDF)

3.5 The State Variable Representation (PDF)

3.6 Analysis of Quasi-Linear Systems (PDF)

4. FREQUENCY DOMAIN (FOURIER) ANALYSIS OF SYSTEMS

4.1 Consider the Complex Exponential (PDF)

4.2 Frequency Response of Systems (PDF)

4.3 The Fourier Series (PDF)

4.4 Properties and Applications of Fourier Series, 4.5 Summary of Fourier Series (PDF)

4.6 The Fourier Transform (PDF)

4.7 Windowing (PDF)

4.8 Sampling (PDF)

4.9 Fourier Wrapup (PDF)

5. THE LAPLACE TRANSFORM

5.1 Motivation, 5.2 Laplace Transform and Region of Convergence, 5.3 Inversion of Laplace Transforms (PDF)

5.4 Pole-Zero Diagrams and Time Function Characteristics, 5.5 Laplace Transforms, Convolution and Transfer Functions, 5.6 Frequency Response From Laplace Transform, 5.7 Assumptions and Examples (PDF)

6. COMPLEX SYSTEMS AND FEEDBACK CONTROL

6.1 DC Machines, 6.2 Block Diagrams (PDF)

6.3 Open Loop Control (PDF)

6.4 Closed Loop Responses (PDF)

6.5 Proportional-Integral Control (PDF)

6.6 Elementary Nonlinearities in the Loop (PDF)

6.7 Stability (PDF)

7. THE Z TRANSFORM

7.1 What Is It For?, 7.2 From Laplace to Z (PDF)

7.3 Some Properties of the Z Transform, 7.4 Frequency Response, 7.5 More Properties (PDF)

7.6 Inversion of Z Transforms (PDF)

7.7 Solving Difference Equations by Z Transform, 7.8 Links Between Laplace s and Z z (PDF)