Research on optimal control of single capacity unstable time-delay systems

For the problem of dynamic response and disturbance-resistance of a class of single-capacity unstable time-delay systems, a method of twice optimization control is proposed to achieve its optimal control. Firstly, using the method of pole placement, the unstable time-delay system is transformed into a stable time-delay system. Then use the second optimization control principle to design the system of infinite dimensional controller. Finally, a comparison between the example simulation and the Smith predictive compensation algorithm validates the superiority of the proposed algorithm in anti-jamming and dynamic response.