Mathematics Faculty Articles
Robustness Analysis of Descriptor Systems with Parameter Uncertainties
Document Type
Article
Publication Date
4-1-2010
Publication Title
International Journal of Control, Automation, and Systems
Keywords
Descriptor systems, Linear matrix inequality (LMI), Parameter uncertainties, Robustness
ISSN
1598-6446
Volume
8
Issue/No.
2
First Page
204
Last Page
209
Abstract
This paper investigates the problem of robustness analysis for descriptor systems with parameter uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function, we derive a linear matrix inequality (LMI) based sufficient condition for the admissibility of the system. Unlike the existing results, our criterion has no restriction on the rank of the derivative matrix. Further, we use the obtained method to study interval descriptor systems and multi-parameter singular perturbed systems. The proposed approaches overcome some drawbacks of the existing results. Finally, we present two numerical examples to show the effectiveness of the main results
NSUWorks Citation
Yang, Chunyu; Zhang, Qingling; Zhang, Fuzhen; and Zhou, Zheng, "Robustness Analysis of Descriptor Systems with Parameter Uncertainties" (2010). Mathematics Faculty Articles. 104.
https://nsuworks.nova.edu/math_facarticles/104
DOI
10.1007/s12555-010-0204-x