Admissible Set of Robust PID Controller Values Using Hurwitz Criterion for A Pure Integrating Process with Dead Time

The design of H-Infinity controller helps to satisfy the robust stability and robust performance criteria [1], sometimes the order of the H-Infinity controller will be of higher order when compared to the systems transfer function. In this paper an attempt has been made to design the low order controller design (PID Controller with the H-Infinity Principles) for the Pure Integrating Process with Dead Time (PIPDT). The controller design parameters such as Proportional gain, Derivative gain and Integral gain are fixed using the principle of Hurwitz Criteria. The weighting functions of the system needs to be selected, based on the frequency requirements of the input signal and disturbance rejection. After finding the range of Derivative gain and the integral gain, by sweeping the proportional gain we can find the various set of admissible layers of PID Controller values. Finally, the three dimensional plots of the admissible set of PID controller values for the PIPDT were shown in figures We can also use the genetic algorithm approach to find the more suitable probability of finding the global minimum PID values, which may also yield the better response for the PIPDT. Once if we obtained the admissible set of PID controller settings, which is satisfying the robust performance condition [2], it can also be easily implemented in the Industries as a lower order H-Infinity controller.