The given motions realization of dynamic systems by bounded optimal controls of linear-quadratic problems

The problem of the given motions realization of dynamic systems in the bounded control class is considered. The regulator operation algorithm is constructing with optimal control methods. According to this algorithm, in real-time, the current values of limited feedbacks are calculated (generates), with the help of which the closed-loop system stably carries out a given movement. To solve the problem the feedback optimal control realization of linear-quadratic problem with restrictions is suggested. The results are illustrated on the problem of dynamic systems synthesis, realizing limited cycles.