Stabilizing Controllers for Uncertain Linear Saturating Systems With Additive Disturbances

[+] Author and Article Information
Jyh-Horng Chou

Department of Mechanical Engineering, National Yunlin Institute of Technology, Touliu, Yunlin 640, Taiwan

Ing-Rong Horng

Institute of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan

J. Dyn. Sys., Meas., Control 113(2), 334-336 (Jun 01, 1991) (3 pages) doi:10.1115/1.2896388 History: Received October 31, 1988; Revised March 18, 1990; Online March 17, 2008


In this technical brief, the stabilization of an uncertain system with a saturating actuator and an additive disturbance is discussed. The uncertainties and the additive disturbances may be linear, nonlinear, and/or time-varying, but only the upper bounds are assumed known. A linear state feedback control law stabilizes the uncertain system with additive disturbance, and guarantees that, ultimately, the system response lies in a neighborhood of the origin. But the neighborhood cannot be arbitrarily made small by the linear state feedback controller. The proposed approach does not need the solution of a Lyapunov equation or a Riccati equation, therefore the computational burden can be decreased. An example illustrates the application of the proposed method.

Copyright © 1991 by The American Society of Mechanical Engineers
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