Feedback systems

Outline :
Chapter 1 Introduction to Automation
 What is automation
 On the notion of system and input/output/disturbance
 Determining the I/O of a system
 BO vs BF and Setpoint vs Command
 Introductory example
 The systems considered and the I/O model (linear diff. equation of order n).
Chapter 2 Mathematical tools
 Some definitions
 time response, step, ramp, Dirac, causality, Analysis, Control, linearity, Invariance
 The Laplace transform, a short and useful version
 Def., table, derivation=<EDO role of ICs, final value theorem
 The notion of transfer function
Chapter 3 Modeling
 Why model…How to model
 Qq reminders (elec, mech, basic fluid) => Passage to Laplace
 Block diagram – Definition and conventio
 Simplification and transformation
 Linearization
Chapter 4 Time Response 
 Reminder of simple EDO resolution
 Solving by Laplace (simple element decomposition)
 1st-order systems
 Second-order systems
 On the notion of performance: response time, overshoot and accuracy
 Other systems (unstable and pole dominance)
 On the notion of performance: response time, overshoot and accuracy
Chapter 5 Harmonic response
 Why and how 
 A complex example and introduction to the various plots
 The pure integrator and the pure derivator
 The first order
 Second order
 Method for plotting asymptotes for a qcq order
 From BO to BF: black’s chart