Controller Design For Nonlinear Systems Based on Simultaneous Stabilization Theory and Describing Function Models

[+] Author and Article Information
A. Nassirharand

Department of Mechanical Engineering, University of Kentucky, Lexington, Ky. 40506-0046

J. H. Taylor

General Electric Corporate Research and Development, Control Technology Branch, Schenectady, N.Y. 12345

K. N. Reid

College of Engineering, Architecture and Technology, Oklahoma State University, Stillwater, Okla. 74078

J. Dyn. Sys., Meas., Control 110(2), 134-142 (Jun 01, 1988) (9 pages) doi:10.1115/1.3152663 History: Received October 29, 1987; Online July 21, 2009


A new systematic and algebraic linear control system design procedure for use with highly nonlinear plants is developed. This procedure is based on simultaneous stabilization theory and sinusoidal-input describing function models of the nonlinear plant, and is presently applicable to single-input single-output, time-invariant, deterministic, stable, and continuous-time systems which are representable in standard state-variable differential equation form. Three software utilities to implement the controller design procedure are also outlined. This method and the associated software is applied to a position control problem of the sort encountered in robotics, and the results are compared with those previously obtained using both linear and nonlinear PID control.

Copyright © 1988 by ASME
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