Robust Stability of Nonlinear Feedback Systems With Parameter Deviations and Perturbed Nonlinearities

[+] Author and Article Information
Hayao Miyagi, Kimiko Kawahira

Department of Information Engineering, Faculty of Engineering, Ryukyu Univ., 1 Senbaru, Nishihara, Okinawa, 903-01 Japan

Norio Miyagi

Department of Mechanical Engineering, College of Technology, Dai-Ichi University, Kagoshima, 899-43 Japan

J. Dyn. Sys., Meas., Control 119(1), 133-135 (Mar 01, 1997) (3 pages) doi:10.1115/1.2801205 History: Received August 09, 1993; Online December 03, 2007


Robust stability of perturbed nonlinear feedback systems subjected to plant variations is investigated by using the direct method of Lyapunov. To establish the stability of the nominal system, the multivariable Popov criterion is utilized first. Then the stability of the system with parameter deviations and perturbed nonlinearities is studied. In this paper, an additive-type of parameter deviations are considered. The feature of the proposed method is that the tolerable range of individual parameter deviation and the conditions for the perturbed nonlinearities are simultaneously obtainable.

Copyright © 1997 by The American Society of Mechanical Engineers
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