Finite-Dimensional Approximations of Unstable Infinite-Dimensional Systems

Authors

G. Gu, Louisiana State University - Baton Rouge
P. P. Khargonekar, University of Michigan - Ann Arbor
E. B. Lee, University of Minnesota - Twin Cities
Pradeep Misra, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

5-1992

Abstract

This paper studies approximation of possibly unstable linear time-invariant infinite-dimensional systems. The system transfer function is assumed to be continuous on the imaginary axis with finitely many poles in the open right half plane. A unified approach is proposed for rational approximations of such infinite-dimensional systems. A procedure is developed for constructing a sequence of finite-dimensional approximants, which converges to the given model in the L infinity norm under a mild frequency domain condition. It is noted that the proposed technique uses only the FFT and singular value decomposition algorithms for obtaining the approximations. Numerical examples are included to illustrate the proposed method.

Comments

Copyright © 1992, Society for Industrial and Applied Mathematics.

Repository Citation

Gu, G., Khargonekar, P. P., Lee, E. B., & Misra, P. (1992). Finite-Dimensional Approximations of Unstable Infinite-Dimensional Systems. SIAM Journal on Control and Optimization, 30 (3), 704-716.
https://corescholar.libraries.wright.edu/ee/3

DOI

10.1137/0330039