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. © ICROS, KIEE and Springer 2010.
Original language | American English |
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Pages (from-to) | 204-209 |
Number of pages | 6 |
Journal | International Journal of Control, Automation, and Systems |
Volume | 8 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1 2010 |
Funding
Manuscript received July 12, 2008; revised April 4, 2009; accepted September 1, 2009. Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Jae Weon Choi. This work was supported by the Natural Science Foundation of China (60904009), Fundamental Research Funds for the Central Universities of China (N090408001), Funds for Creative Research Groups of China (60521003) and National Basic Research Program of China (2009CB320601).
Funders | Funder number |
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Funds for Creative Research Groups of China | 60521003 |
National Natural Science Foundation of China | 60904009 |
National Basic Research Program of China (973 Program) | 2009CB320601 |
Fundamental Research Funds for the Central Universities | N090408001 |
ASJC Scopus Subject Areas
- Control and Systems Engineering
- Computer Science Applications
Keywords
- Descriptor systems
- Linear matrix inequality (LMI)
- Parameter uncertainties
- Robustness
Disciplines
- Mathematics