Optimal Rejection of Stochastic and Deterministic Disturbances

[+] Author and Article Information
A. G. Sparks

USAF Wright Laboratory, WL/FIGC, 2210 Eighth Street, Suite 21, Wright Patterson AFB, OH 45433-7531

D. S. Bernstein

Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2118

J. Dyn. Sys., Meas., Control 119(1), 140-143 (Mar 01, 1997) (4 pages) doi:10.1115/1.2801207 History: Received March 08, 1994; Online December 03, 2007


The problem of optimal H 2 rejection of noisy disturbances while asymptotically rejecting constant or sinusoidal disturbances is considered. The internal model principle is used to ensure that the expected value of the output approaches zero asymptotically in the presence of persistent deterministic disturbances. Necessary conditions are given for dynamic output feedback controllers that minimize an H 2 disturbance rejection cost plus an upper bound on the integral square output cost for transient performance. The necessary conditions provide expressions for the gradients of the cost with respect to each of the control gains. These expressions are then used in a quasi-Newton gradient search algorithm to find the optimal feedback gains.

Copyright © 1997 by The American Society of Mechanical Engineers
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