Synthesis of time optimal systems of high order

The purpose of the work is to study the possibility of the synthesis of systems of automatic control described with time optimal systems of differential equations of the third and the fourth order. The authors analyze the existing investigations for creation of time optimal systems of high order and present a simple synthesis strategy based on the method of the phase trajectories. The proposed strategy includes all the stages of creation of the time optimal system, from the input description in the form of a differential equation or a transfer function to formation of a correcting section. The creation of time optimal system of higher-order is challenging to obtaining the information about the n – 1 derivatives, where n is the order of the system of differential equations. However, to obtain such information technically is practically impossible. The article proposes a way to create a device for obtaining the necessary information with the synthesis of time optimal systems of high order.