Design of deadbeat robust systems

The proportional-integral-derivative (PID) controller enables a system to achieve robustness; however, for higher order plants, there are not enough variables to allow the independent specification of the step response criteria (such as overshoot and settling time). As a result, there is a need for more variable gains when higher order plants are analyzed. Assuming that higher order systems are reduced to fourth order models, a design method is developed that enables a PID controller to be used. Designing systems capable of robust performance is possible with this method. Through the use of examples with varying plant order, this design method is tested, and is shown to perform as expected, giving rise to deadbeat robustness