Description of Continuous Linear Systems in the Time, Operator and Frequency Domain

The aim of controlling a plant is to maintain the required value of the controlled output signal prescribed by the reference signal in spite of disturbances. The control system has to meet the quality specifications set for the control system. The quality specifications prescribe the static accuracy (the tolerable static error) of the control system and also the properties of its dynamic response (the settling time, the allowed value of the overshoot, etc.). The comparison of the factual and the prescribed behavior can be done based on the analysis of the static and dynamic response of the control system. The analysis can be done in the time, operator and frequency domain. These methods are shown for different elements of a control system.