The synthesis of the proportional differential regulators for systems with fixed ends of trajectories under two-sided constrained control;

Abstract

Optimal conrtol problem for nonstationary linear systems with fix ed trajectory ends under external influences and with quadratic functional of control, state o f the object and its derivative is considered. The constructive method for proportional differential and based on principle of feedback regulator construction taking into account two-sided constraints on control value is developed. The problem is solved by using the metho d of Lagrange multipliers of a special form.