In the design of linear control systems, it is desired to assign the closed loop spectrum in sub-regions (as opposed to locations) of the complex plane. The present paper establishes a matrix root-clustering criterion for an important class of regions, and develops a linear feedback control that assigns the closed loop spectrum in the desired region. This is done for both nominal and uncertain systems.
Linear Control Root-Clustering of Uncertain Systems
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Gutman, S. "Linear Control Root-Clustering of Uncertain Systems." Proceedings of the ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. Volume 2: Dynamics, Vibration and Control; Energy; Fluids Engineering; Micro and Nano Manufacturing. Copenhagen, Denmark. July 25–27, 2014. V002T07A017. ASME. https://doi.org/10.1115/ESDA2014-20340
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