Sufficient conditions for robust BIBO stabilization: Given by the gap metric
For a standard unity feedback structure denoted by H(P,C), where P and C represent the transfer matrices of the plant and the compensator respectively, and which is BIBO stable for its nominal \(P_ 0\) and \(C_ 0\), the authors prove the following main result: If \(\delta (C,C_ 0)+\delta (P,P_ 0)<w^{-1}\), then H(P,C) is BIBO stable, where \(\delta\) symbolises the gap metric and w depends on the right and respectively left coprime fraction pairs of \(P_ 0\) and \(C_ 0\).
robust bounded-input bounded-output stability
scientific article; zbMATH DE number 4062958
scientific article