The invention discloses an
MIMO cascaded
system stability
analysis method based on an impedance return-ratio matrix. The
MIMO cascaded
system stability
analysis method regards a high-speed rail
train network cascaded
system as an object, and comprises the steps of deducing and calculating equivalent pre-stage
output impedance of the system, deducing equivalent post-stage input
admittance of the system, calculating a system integral
transfer function and acquiring a return-ratio matrix, estimating feature values of the return-ratio matrix and limiting a distribution region of the feature values, setting a forbidden region in the feature value distribution region, and acquiring
MIMO system stability criterion with low conservative property. The deduction and calculation of the equivalent pre-stage
output impedance and the equivalent post-stage input
admittance of the system are the premises for acquiring the system integral
transfer function, and are essential conditions for further acquiring the return-ratio matrix of the cascaded system; and the Gerschgorin circle theorem is the basis for setting the forbidden region to limit and avoid the matrix feature value range, and further reducing the conservative property of the criterion. The criterion method is suitable for stability analysis of the MIMO cascaded system, can analyze stability of the MIMO cascaded system simply and effectively, and has lower conservative property than that of the existing
singular value criterion, norm criterion and the like.