Design of Controller for a Higher Order System Without Using Model Reduction Methods

In the industry, many plants are described by higher order sy stems. Most of the time, higher order systems are approximat ed with the lower order system using model reduction method, an then the appropriate controllers are designed. In this pap er, the controller for higher order system is designed without using model redu ction methods. Instead, a fractional PID (FPID) controller is designed for higher order system. In simulations, ten different plants w ere examined, ranging from order 3 to order 7, with and withou delay. The time-domain optimal tuning of higher order systems was carr ied out using integrated squared error (ISE) as the performa nce index. Results indicate that the controller for higher order syste m can be designed without model reduction methods by using FP ID controller. The results of FPID controllers are also compared with class ic l PID controller. The FPID controller displayed robust p erformance; better gain and phase margin. The complementary sensitivit y and sensitivity functions are better achieved with FPID co ntroller. The FPID controller exhibits an iso-damping property (flat resp onse around gain crossover frequency) for higher order syst ems.

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