Logarithms, trigonometry, and binomial expansions
Complex numbers
Exponentials and logarithms
Roots of polynomials
Laplace transforms
Inverse Laplace transforms
Matrices and determinants
Differentiation
Simultaneous equations
Modelling principles
Modelling first order systems
Responses of first order systems
Modelling second order systems
Responses of second order systems
Behaviour characterisation for any order system
Case studies on modelling and behaviour
Linearisation of non-linear models
Introduction to feedback
Basic analysis of feedback loops
Block diagrams
Introduction to PID
Dealing with uncertainty
Introduction to feedback with MATLAB
Root-loci
Frequency response and Bode diagrams
Nyquist diagrams
Gain and phase margins
Classical feedback analysis tools with MATLAB
Time series models
Sampling and Z-transforms
Discrete time models
Discrete controller design
MATLAB basics
Introduction to feedback with MATLAB (from chapter three)
Classical feedback analysis tools with MATLAB (from chapter four)
State space model definitions
State space behaviours
State space observability and controllability
State space feedback control and observers
Classical control and weaknesses
Introduction to predictive control and forming system predictions
Predictive functional control
Finite horizon predictive control laws: definitions and tuning
Infinite horizon predictive control laws: dual-mode
Introducing constraints into predictive control
The use of target information within predictive control
Chapter one: Mathematical skills
Chapter two: Modelling and behaviour
Chapter three: Introduction to feedback
Chapter four: Classical control analysis techniques
Foundational mathematics quiz
Chapter two: Modelling and behaviour quizzes
Chapter three: Introduction to feedback quizzes
Chapter four: Classical analysis and design technique quizzes
