Stability Analysis of Fixed-Point Digital Controllers using Computer Generated Lyapunov Functions
Abstract
This paper demonstrates the applicability of the constructive stability algorithm of Brayton and Tong in the stability analysis of digital controllers implemented with fixed-point arithmetic. In this paper, we consider a second order digital controller structure. Specifically, we find the allowable parameters that guarantee stability of the controller. Several of the present results are new, while some of the results constitute improvements over existing results. It is emphasized that whereas the existing results are obtained by several diverse methods, the present results are determined by one unified approach.
Recommended Citation
K. T. Erickson, "Stability Analysis of Fixed-Point Digital Controllers using Computer Generated Lyapunov Functions," Proceedings of the American Control Conference (1985, Boston, MA), pp. 1612 - 1617, Institute of Electrical and Electronics Engineers (IEEE), Jun 1985.
The definitive version is available at https://doi.org/10.23919/ACC.1985.4788872
Meeting Name
American Control Conference (1985: Jun. 19-21, Boston, MA)
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Control Systems -- Stability; System Stability -- Lyapunov Methods; Fixed-Point Digital Control; Stability Algorithm; Control Systems, Digital
International Standard Serial Number (ISSN)
0743-1619
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1985 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
01 Jun 1985
