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APPLICATION OF GRAM METHOD FOR RANGING OF PARAMETRIC UNCERTAINTIES

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The problem of output invariance of a closed-loop system with respect to uncertain parameters of the initial plant state matrix is considered. Two methods of uncertainties ranging by levels of influence on the closed-loop system output are proposed. The both methods use Gramians of the channels “control signal — plant output” and “parametric influence — plant output” controllability. An algorithm for parametric uncertainties ranging based on the methods is developed. An example demonstrating application of the methods is presented.

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