Abstract

Singular values and their gradients have been used to analyze the stability and sensitivity of continuous multiloop systems. This method is extended in this paper to analyze discrete systems directly in discrete domain. The discrete domain relationship between the stability margins and the minimum singular value of the return difference matrix is derived. A formulation to compute the singular value gradients is presented. This method is applied to the lateral attitude control loop of a remotely piloted vehicle both in continuous case and discrete case for verification.

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