Design of PD controlleers for unstable infinitive dimensional plants with time-delay

Abstract

In real life, everything is in movement so there are always continuous transfers, transmissions and transports of people, materials, information and energy to other places. These transfers, transmissions and transports occur with a time delay. In control theory, time delays are encountered very commonly as in real life. By considering this fact, four unstable plants with time delays are considered from different application perspectives and five delay values are chosen. For stabilization of these infinite dimensional plants, PD controllers are designed by three different design methods: two of them give different least fragile PD controllers and the other design method gives a gain margin optimizing PD controller. Designed PD controllers and equivalent plants are put in feedback loop and robust performance test results and step responses are obtained and compared.