**Module overview.**
*Before a control system is designed it is necessary to
specify what is expected for the closed-loop control behaviour.
The dynamical behaviour and its static properties must be
described. The basic requirements for control system design are
given. These are precisely defined for the case of disturbance and
command behaviour and illustrated by examples. Performance
indices to measure the quality of the control system in the time
domain using standard quantities are introduced, e.g. maximum
overshoot, rise time and settling time. Integral performance
indices and their determination in the domain for the case of
quadratic forms are also given. *

**Module objectives.**
*When you have completed this module you should be able
to:*

- Know the basic requirements of control system design.
- Determine static and dynamic properties.
- Judge and measure the performance of control systems in the time domain.

**Module prerequisites.**
*Transfer function, Laplace transform.*

- Dynamical behaviour of a closed loop system
- Static properties of the closed loop
- Transfer function G
_{0}(s) with delayed P behaviour - Transfer function G
_{0}(s) with delayed I behaviour - Transfer function G
_{0}(s) with delayed I_{2}behaviour

- Transfer function G
- Performance indices