AU3 - Automatic control system design Semester : 3 Course hours : 60

Institut Universitaire de Technologie
TARBES
AU3 - Automatic control system design
Semester : 3
Course hours : 60
Course objectives :
Modelling, analysis and control of linear continuous - time
systems to improve their dynamic
performances.
Course outcomes :
Ability to model or to identify a continuous - time system with a linear input-output relation.
Ability to assess characteristic behavior in time or frequency domains for such a linear model.
Ability for designing and tuning of PID controllers to satisfy performances requirement according to
stability, steady state error, settling time response and disturbances rejection.
Ability to use a computer aided design.
Key words :
System, input, set point, control law, output, disturbance, performance, feedback, closed loop, tracking,
modelling, non linear system, linearization, Taylor series expansion, derivative operator, transfer, DC
gain, pole, zero, signal-flow graph, Mason’s rule, stability, Routh criterium, Nyquist criterium, settling
time, dynamic error, steady-state error, disturbances rejection, transport delay, integrator, first order
system, second order system, identification, Strejc method, Hudzovic method, thermic process, inversed
pendulum, tank system, magnetic suspension, PID controller, ziegler-Nichols methods, Black-Nichols
chart.
Topics covered :
History of automatic control. Intorduction to feedback control and tracking.
Modelling systems (heat exchanger, inversed pendulum, car suspension...), linearization.
Transfers operators defined through an operational coding of linear differential equations. DC gain, poles
and zeros, association of transfers, signal-flow graphs and Mason’s rule.
Stability analysis, Routh criterium, Nyquist criterium.
Time domain response, steady-state error analysis and disturbances response. Time and frequency
response of elementary systems as transport delay, integrator, first and second order systems.
Identification of continuous-time transfer operators. Practical works for modeling, identification and
analysis of a thermic process, an inversed pendulum, a tank system, a magnetic suspension.
PID Controller. Forms and actions. Filtered derivative. From empirical tuning rules to optimal techniques.
Black frequency method and CAO using the control toolbox of Matlab.
Bibliography :
Frédéric Rotella, Irène Zambettakis, Automatique élémentaire, de l’analyse des système à la régulation,
Hermès – Lavoisier, 2008.
Frédéric Rotella, Irène Zambettakis, An automatic control course without the Laplace transform, e-STA, vol.4,
n° 4, 2008.
Institut Universitaire de Technologie
TARBES