For instant, in  modelling and control of a mobile robot using deadbeat response is introduced.
Proportional-integral (PI) controller with deadbeat response design
Knowing that parameters [alpha] and [beta] are known coefficients of the system with deadbeat response given by , we choose [[omega].
Simulink model of the PI controller with deadbeat response is shown in Fig.
Simulink model of PI controller with deadbeat response is shown in Fig.
5 with PID controller, then for desired output linear speed of 1 m/s with PI with deadbeat response will result in response curves shown in Figs 15 and 16.
The results show the applicability and accuracy of designs and that, depending on the desired accuracy, PID, PI and PI with deadbeat response are applicable for achieving desired smooth speed of a given mobile robot in suitable time without or with minimum possible overshoot.