SYNTHESIS OF LINEAR MULTIDIMENSIONAL TIME-VARYING SYSTEMS WITH DISCONTINUOUS CONTROLS

Decomposition algorithms for control of time-varying objects, includin g control with incomplete information, are suggested. The approach out lined below relies on the representation of the initial system in the block-controllable form that consists of elementary blocks. This repre sentation, together with the technique of the synthesis of sliding mod es and multirate motions, males it possible, first, to reduce the solu tion of the initial synthesis problem to the solution of a number of s ubproblems of lower dimensions and, second, to compensate partially or completely for the unsteadiness of each block in such a way that the equation of motion on the manifold of sliding displays the desired spe ctrum. As an example, the problem of the synthesis of controls and a s tate observer (standard block model) of a direct-current drive is trea ted.