SYNTHESIS OF INTELLIGENT SITUATIONAL CONTROLS BY MULTI-DEGREASIVE DYNAMIC SYSTEMS USING THE THEOREM ON THE MAXIMUM OF THE GENERALIZED CAPACITY FUNCTION
It is shown that the solution of the problem of control synthesis using the Hamilton-Ostrogradskii principle leads to a variational inequality, whence the conditions for the maximum of the function of generalized cardinality in the space of bounded piecewise continuous functions follow. This allows us to find the feedback structure up to the synthesizing function. Using the methods of its construction, nonlinear structures of relay and continuous control laws are obtained. The proposed control method avoids the mode with frequent switching. It consists of two stages. At the first stage, the control object is brought into the vicinity of the terminal state using the relay control law. In the second stage, quasi-optimal continuous control is used. The uncertainty of the size of the transition area is resolved using fuzzy logic. The effectiveness of intelligent controls is demonstrated by the example of mathematical modeling of system dynamics.