Synthesis of control system based on approximation of optimal trajectories by the network operator

Diveev Askhat Ibragimovich doctor of technical sciences, head of department of safety and nonlinear analysis, Dorodniсyn Computer Center of the Russian academy of sciences
Shmal'ko Elizaveta Yur'evna candidate of technical sciences, scientific worker, department of safety and nonlinear analysis, Dorodniсyn Computer Center of the Russian academy of sciences 

62-50, 519-714

The paper focuses on the problem of control system synthesis and a numerical method of the network operator is proposed to search a solution. The present paper describes an approach for control synthesis based on approximation of the set of optimal trajectories. Apart from a well-known approach when the stated control synthesis problem is solved directly by the method of network operator considering given criteria and terminal conditions, the present paper describes a twostage synthesis. Firstly optimal controls are searched numerically for different initial conditions from some given set. The variational genetic algorithm is used to solve the problem of optimal control. The second stage makes an approximation of the previously received optimal trajectories by means of the network operator. An example illustrates the two-stage synthesis of a control system for a spaceship descent to the Moon

control system synthesis, optimal control, genetic algorithm, method of network operator, spaceship control