The classical regulation problem: Its solution by optimal control methods

The fundamental problem of the classical regulation theory in the class of bounded control is investigated. Optimal control methods are applied to des ign operation algorithms for regulators, which generate in real time feedba ck for transferring a system from the neighborhood of one equilibrium state (steady-state motion) to the neighborhood of another state with transition process of high quality and stabilize the system relative to the new equil ibrium state. The results are illustrated by an example of regulation of a fourth-order dynamic system.