Identification of Linear Parameter-Varying Systems Using Nonlinear Programming

[+] Author and Article Information
Lawton H. Lee

Lockheed Martin Missiles & Space Co., Box 3504, Sunnyvale CA 94089-3504

Kameshwar Poolla

Department of Mechanical Engineering, University of California, Berkeley CA 94720

J. Dyn. Sys., Meas., Control 121(1), 71-78 (Mar 01, 1999) (8 pages) doi:10.1115/1.2802444 History: Received June 24, 1997; Online December 03, 2007


This paper deals with the identification of a linear parameter-varying (LPV) system whose parameter dependence can be written as a linear-fractional transformation (LFT). We formulate an output-error identification problem and present a parameter estimation scheme in which a prediction error-based cost function is minimized using nonlinear programming; its gradients and (approximate) Hessians can be computed using LPV filters and inner products, and identifiable model sets (i.e., local canonical forms) are obtained efficiently using a natural geometrical approach. Some computational issues and experiences are discussed, and a simple numerical example is provided for illustration.

Copyright © 1999 by The American Society of Mechanical Engineers
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