For instant, in  modelling and control of a mobile robot using deadbeat response is introduced.
Proportional-integral (PI) controller with deadbeat response design
To determine gains that yield optimal deadbeat response, the overall closed loop third order transfer function T(s) in terms of [Z.sub.0] and/or [K.sub.P] and [K.sub.I], is compared with standard third order transfer function given by Eq.
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.
Running the model for desired output linear speed of 0.5 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.