Decoupling in a Class of Nonlinear Systems by State Variable Feedback

[+] Author and Article Information
S. N. Singh, W. J. Rugh

Department of Electrical Engineering, The Johns Hopkins University, Baltimore, Md.

J. Dyn. Sys., Meas., Control 94(4), 323-329 (Dec 01, 1972) (7 pages) doi:10.1115/1.3426615 History: Received May 23, 1972; Online July 13, 2010


For a class of nonlinear systems we derive a necessary and sufficient condition for the existence of a state variable feedback control law which accomplishes decoupling, as well as some conditions which characterize the class of decoupling control laws. Several examples are presented to illustrate the application of these results. For a special subclass which includes the so-called bilinear systems, we give two equivalent forms of the necessary and sufficient condition.

Copyright © 1972 by ASME
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