Perturbation Analysis of Optimal Integral Controls

[+] Author and Article Information
G. L. Slater

Department of Aerospace Engineering and Applied Mechanics, University of Cincinnati, Cincinnati, Ohio 45221

J. Dyn. Sys., Meas., Control 106(1), 114-116 (Mar 01, 1984) (3 pages) doi:10.1115/1.3149654 History: Received June 05, 1981; Online July 21, 2009


The application of linear optimal control to the design of systems with integral control action on specified outputs is considered. Using integral terms in a quadratic performance index, an asymptotic analysis is used to determine the effect of variable quadratic weights on the eigenvalues and eigenvectors of the closed loop system. It is shown that for small integral terms the placement of integrator poles and gain calculation can be effectively decoupled from placement of the primary system eigenvalues. This technique is applied to the design of integral controls for a STOL aircraft outer loop guidance system.

Copyright © 1984 by ASME
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