R. Gabasov, F. M. Kirillova

Optimal On-Line Control with Delays

abstract:
A linear optimal control problem is considered. Optimal feedback controls are realized by digital computers (microprocessors). Because of deficiency of microprocessor speed available, a number of microprocessors is used for forming control functions. This fact results in delays between the moments when information on current states of the system become available to Optimal Controller and the moments when controls are fed to the control system. An algorithm for Optimal Controller under such conditions is presented. Results of operating of Optimal Controller implemented on a number of slow microprocessors and on one fast microprocessor with delays in closed channel are compared.

Mathematics Subject Classification: 49N35, 93B52.

Key words and phrases: Optimal control, synthesis of optimal systems, open-loop control, optimal feedback, dual method, optimal on-line control.