Abstract
Based on Matrix Fraction Description (MFD) and decomposition of the feedback structure into fundamental substructures, a new criterion for testing fixed modes as well as their orders w.r.t. arbitrary constrained feedback structure is presented, which leads straightly to a new algorithm for evaluating fixed polynomials and fixed modes without solving high order characteristic equation. Some new concepts are introduced to illustrate the successive procedure of the open-loop modes changing from fixed to variable, which provide detailed structural information about the occurence of fixed modes.
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