Abstract
The problem of robust H∞ estimation for the polytopic uncertain linear system with state delay is considered. Firstly, by introducing two auxiliary matrices a new LMI representation of H ∞performance is presented for the linear systems with a single time-varying state delay. The proposed criterion exhibits a kind of separation between the system matrices and the positive definite Lyapunov matrices. So the vertex-dependent Lyapunov functions can be adopted, and thus a less conservative result is expected to be obtained.
Original language | English |
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Pages (from-to) | 668-673 |
Number of pages | 6 |
Journal | International Journal of Control, Automation and Systems |
Volume | 7 |
Issue number | 4 |
DOIs | |
State | Published - Aug 2009 |
Externally published | Yes |
Funding
Manuscript received November 26, 2007; revised July 29, 2008; accepted December 29, 2008. Recommended by Editorial Board member Huanshui Zhang under the direction of Editor Young II Lee. This work was supported by the Program for Changjiang Scholars and Innovative Research Team in University.
Keywords
- H-infinity estimation
- Linear matrix inequalities
- Linear time-delay systems