Control Systems - 1

Transport Lag In Bode Diagrams

Transport lag in Bode Diagrams

 

Fig: Phase-angle characteristic of transport lag

 

Transport lag is of nonminimum-phase behavior and has an excessive phase lag with no attenuation at high frequencies. Such transport lags normally exist in thermal, hydraulic, and pneumatic systems.

Consider the transport lag given by

 

The magnitude is always equal to unity since

 

 

Therefore, the log magnitude of the transport lag e-jωT is equal to 0 dB. The phase angle of the transport lag is

 

 

The phase angle varies linearly with the frequency ω. The phase-angle characteristic of transport lag is shown in Figure.