Quantitative design of mimo nonlinear uncertain feedback systems having nonzero initial conditions

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Abstract

An n × n nonlinear uncertain multiple-input multiple-output plant W, known only to belong to a set {W} is considered. At t = 0 it is transformed into a one-degree-of-freedom feedback structure with compensation G. A synthesis method is developed to design G so that a given level of attenuation of plant output is attained for all We {W} and for any set of initial conditions y0ϵ{y0} on output of the plant W. Thedesign philosophy is to convert the problem into a disturbance attenuation problem for uncertain linear time invariant systems with zero initial state, which in turn is converted into a series of successive single-input-output problems of the disturbance attenuation type. A design example is included.

Original languageEnglish
Pages (from-to)518-523
Number of pages6
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume113
Issue number3
DOIs
StatePublished - Sep 1991

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