Index of topics

A

Aliasing (in discrete signals)

Analogies in modelling

Analogies in first order modelling

Angles of arrival/departure (root-loci)

Asymptotes (root-loci)

Asymptotic methods (Bode diagrams)

B

Bandwidth (frequency response)

Bandwidth and margins

Behaviours (continuous systems)

Behaviours (discrete systems)

Binomial expansions

Block diagrams

Bode diagrams

Breakaway points (root-loci)

C

Case studies

Centroid (root-loci)

Chain rule

Classical control techniques

Closed-loop transfer functions

Closed-loop poles

Complex numbers

Control analysis chapter

Convergence rate and decay

Convolution

Cramer's rule

Cross-over frequencies

Cruise control model

D

Damping and damping ratio

D-contour (Nyquist diagrams)

DC servo models

Decibels (frequency response)

De Moivre's theorem

Determinants

Differentiation

Discrete control

Discrete systems chapter

Discrete models

Discrete control analysis and design

E

Encirclements (Nyquist diagrams)

Estimating gain and phase margins

Exponentials

F

Factors of polynomials

Feedback chapter

Feedback concepts

Feedback loop analysis

Feedback loop analysis with MATLAB

Feedback motivation

Final value theorem (continuous signals)

Final value theorem (discrete signals)

First order models

First order responses

Fluid system models

Frequency response concepts

Frequency response

Frequency response design

G

Gain and phase (frequency response)

Gain margins

Gaussian elimination

H

Heat exchanger model

House temperature model

I

Inverse Laplace

Inverse Z-transforms

Integrator impact and design

L

Lag compensation (frequency response)

Lag compensation (root-loci)

Lag design (with margins)

Laplace transforms

Lead compensation (frequency response)

Lead compensation (root-loci)

Lead design (with margins)

Lead-lag compensation (frequency response)

Lead-lag design (with margins)

LHP and RHP

Linearisation

Linear models

Logarithms

M

Margins

Margins and MATLAB

Mass-damper models

Mass-spring-damper models

Mathematics chapter

Mathematics (school level)

MATLAB chapter

MATLAB with discrete systems

MATLAB with feedback

MATLAB with feedback analysis

Matrices

Matrix inverse

Mixing tank model

Modelling chapter

Modelling principles

Modelling from a step response

N

Natural frequency

Nested loops

Nonlinear models

Nyquist diagrams

Nyquist stability criteria

O

ODEs (solutions)

Offset

Oscillation and decay

Overshoot

Overview information and videos

P

Partial fractions

Phase margins

PID design

Pipe arrangements

Poles

Polynomials

Positive feedback (root-loci)

Predictive control chapter

Product rule

Proportional compensator impact and design

Proportional design (phase margins)

Proportional design (root-loci)

Q

Quadratic factors (frequency response)

Quiz questions

Quotient rule

R

Resistor arrangements and analogies

Resistor-capacitor models

Resistor-inductor models

Resistor-inductor-capacitor models

Resonance (frequency response)

RHP factors (frequency response)

Roots of polynomials

Root-loci

Routh array

S

Sampling

Second order models

Second order responses

Simultaneous equations

Sketching first order responses

Sketching second order responses

Sketching (Bode diagrams)

Sketching (Nyquist diagrams)

Sketching (root-loci)

Speed of response

Spring arrangements and analogies

Spring-damper models

Stability concepts

Stability (Nyquist diagrams)

State-space methods chapter

Steady-state values and gains

Steady-state offsets and gains

Step responses (first order)

Step responses (second order)

Step responses with MATLAB

Summing junction

T

Tank system models

Thermal models

Time series models

Time series modelling from data

Transfer functions (continuous)

Transfer functions (discrete)

Transfer functions and block diagrams

Transfer functions (closed-loop)

Trigonometry

Tustin transforms

Tutorial sheets

U

Under-damping

Uncertainty and feedback

Z

Zeigler-Nichols PID design

Zeros

Zero-order-hold

Z-transforms