Title
Finite dimensional approximations of unstable infinite dimensional systems
Document Type
Conference Proceeding
Publication Date
1-1-1990
Abstract
The approximation of possibly unstable linear infinite-dimensional systems is studied. 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. Under a certain mild frequency domain condition, a procedure is developed for constructing a sequence of finite-dimensional approximants which converges to the true model in the L∞ norm. It is noted that the proposed technique uses only the FFT (fast Fourier transform) and the singular value decomposition algorithms for obtaining the approximations. Some examples are included to illustrate the proposed method.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
First Page
1168
Last Page
1173
Recommended Citation
Gu, G., Khargonekar, P., Lee, E., & Misra, P. (1990). Finite dimensional approximations of unstable infinite dimensional systems. Proceedings of the IEEE Conference on Decision and Control, 3, 1168-1173. https://doi.org/10.1109/cdc.1990.203787