Revolutionizing Control in Fractional Delay Systems with Minimum Energy

This study focuses on determining the minimum energy control for fractional delay systems. The optimal energy performance index for such systems is derived using solutions obtained through the Laplace transform. The proposed control strategy ensures the system transitions from its initial state to the desired final state with minimal energy consumption. The approach is further extended to accommodate various control types. To support the theoretical findings, the numerical examples along with graphical simulations are provided and discussed.