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Factorization of nonlinear systems: toward a theory for nonlinear H/sup infinity / control

descriptionPublicationkeyboard_double_arrow_right Article 06 Jan 2003Publisher:IEEEJournal:Proceedings of the 27th IEEE Conference on Decision and Control

Authors: J.W. Helton; J.A. Ball;

doi: 10.1109/cdc.1988.194766

Factorization of nonlinear systems: toward a theory for nonlinear H/sup infinity / control

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Abstract

A natural approach to H/sup infinity / control for nonlinear systems, by developing a theory of factorization for a nonlinear time-invariant causal map, is presented. Whenever such factorizations exist with well-behaved frequency-response function, theta , then a substantial class of nonlinear control problems can be solved. The author reports progress toward developing state-space formulas for constructing theta that generalize formulas of J.A. Ball and A. Ran (1987), which are the discrete-time version of Glover's equations. >

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