Stability of a programme manifold of indirect control systems with different feedbacks in the presence of an external load

Abstract

The problem of constructing indirect control systems of a special type for a given manifold is considered. This problem comes down to studying the stability of the programme manifold of the system under construction with respect to a given function. The stability of a given manifold of an automatic indirect control system with rigid and tachometric feedback is investigated, taking into account external load. By constructing Lyapunov functions, sufficient conditions for the absolute stability of the programme manifold are obtained. The obtained results can be used to construct stable automatic indirect control systems of a special type.