Svetlana I. Kolesnikova (skolesnikova@yandex.ru)

Saint-Petersburg State University of Aerospace Instrumentation

Three control algorithms are considered for nonlinear objects, the construction of which is due to different types of uncertainties in the description. All algorithms are based on unified principles of synergetic control theory and control methods on manifolds. It is assumed that the initial object is given in the form of a system of ordinary nonlinear differential / difference equations with the presence of unknown components (including unknown deterministic / stochastic perturbations) on the right side of the equations responsible for the dynamics of a poorly formalized object. Examples of applied problems, solved on the basis of the presented algorithms, are given.

control on manifolds, perturbations, stochastic control problem, analytical synthesis of stochastic regulator