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Linear compensator designs based exclusively on input-output information are never robust with respect to unmodeled dynamics

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1 Author(s)
Cobb, J.D. ; Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA

The effects of unmodeled, higher-order dynamics or parasitics on the stability of linear control systems are investigated. A description is first given of a class of perturbations of a given state equation that cannot be distinguished from the original on the basis of input-output measurements alone. Then it is shown that given any plant-compensator pair, perturbations of each system of this type can always be found that destabilize the closed-loop configuration. The effect of destabilizing perturbations on output behavior is explored

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Automatic Control, IEEE Transactions on  (Volume:33 ,  Issue: 6 )