Quantitative Design of Mimo Nonlinear Uncertain Feedback Systems Having Nonzero Initial Conditions

[+] Author and Article Information
Oded Yaniv

Department of Electrical Engineering Systems, Tel-Aviv University, Tel-Aviv, 69978, Israel

J. Dyn. Sys., Meas., Control 113(3), 518-523 (Sep 01, 1991) (6 pages) doi:10.1115/1.2896442 History: Received April 18, 1990; Revised September 25, 1990; Online March 17, 2008


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 Wε{W} and for any set of initial conditions y0 ε{y0 } on output of the plant W. The design 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.

Copyright © 1991 by The American Society of Mechanical Engineers
Topics: Design , Feedback
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