An optimal regulator design for fractional order linear systems with input time-delay

In this paper, an optimal regulator design for fractional order linear systems with input time-delay is developed. Fractional systems are very sensitive to delay so delay is a critical factor. Here the input time-delay in linear fractional-order system is applied and the response shows an improvement of less than 0.001 ms. The input time-delay is considered at the beginning of the control design and no approximation and estimation are used in the control system Thus the system performance and stability can be guaranteed. Instability in responses might occur if a system with input time-delay is controlled by an optimal regulator design for fractional linear system that was designed with no consideration of input time-delay. The transformation model which is first presented, change the optimal regulator design for fractional order linear systems with input time-delay into a system without delay formally. Simulation graphs demonstrate better performance of the proposed optimal regulator design by fractional order with consideration of the value criterion.