Browsing by Author "Bennett, William H."
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Item Decomposition and Decentralized Control System Design: A Review of Frequency Domain Methods.(1985) Bennett, William H.; Baras, John S.; ISRWe provide a short review of the literature on design of decentralized control based on weak coupling measures for transfer function models. The notion of diagonal dominance for transfer functions has been suggested as a measure of weak coupling for system decomposition. Various generalizations of this notion for partitioned transfer function matrices are discussed as they pertain to design of decentralized control. Such weak coupling techniques permit a decentralized design procedure based on an approximate decoupled mode. The accuracy of these decoupled approximations for control design is highlighted.Item A New Geometric Stability Margin for Feedback Systema.(1987) Bennett, William H.; Baras, John S.; ISRThis paper provides a new geometric concept for a stability margin for feedback control systems which is applicable for any number of inputs and outputs. The measure of stability margin employed has the advantage over standard mesaures of exposing certain additional internal stability properties of a feedback configuration employing dynamic compensation. The stability margin is based on the essential topological features of an Abstract Nyquist criterion proposed by Brockett and Byrnes. This abstract Nyquist criterion for multivariable systems involves the topology of intersectiona between certain pairs of subspaces of the direct sum of the system inputs and outputs. The measures employed here are derived from the idea of principal angles between a pair of subspaces. Some examples are given which highlight the differences between these mesaures and other more standard measures.