Abstract
The Characteristic Locus method gives necessary and sufficient stability conditions for systems with an exact description. In the presence of model uncertainty however, due to eigenvalue sensitivity problems, the Characteristic Loci of the nominal description may lead to an unreliable assessment of stability. Eigenvalue inclusion results developed recently can be used to construct bands which contain the Characteristic Loci of additively perturbed models and thus lead to an extension of the Generalised Nyquist criterion. The present paper gives a brief description of the relevant methods, extends these to the case of multiplicative perturbations, and applies them to an open-loop unstable model in order to appraise the robustness properties of two alternative control schemes.
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