MODAL SYNTHESIS OF CONTROL ALGORITHMS FOR MULTIDIMENSIONAL SYSTEMS WITH A GIVEN SPECTRUM WITH INCOMPLETE INFORMATION
Keywords:
linear system, control law, modal synthesis, matrix differential equation, control object, pseudoinverse matrices, pole placements.Abstract
The modal synthesis of control algorithms for multidimensional systems with a given spectrum is considered under the condition of incomplete information about the state vector. For a linear multidimensional stationary system, a method is proposed for synthesizing systems with a given spectrum with incomplete information by designing a full-rank feedback matrix, in which the closed system has all eigenvalues equal to the given ones. The key elements in the considered expressions are pseudo-inverse matrices. For a multidimensional control system, a method is proposed for synthesizing systems with a given spectrum with incomplete information by applying a special canonical form. This algorithm provides the desired loop pole distribution for each channel.
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