Output Feedback Stabilizing Composited Lurie Systems Based on the Comparison Principle

A comparing model is introduced to transfer the problem of output feedback for stabilizing the Lurie composited nonlinear systems into output feedback stabilizing the comparison systems of lower dimensions, by employing differential and Lyapunov stability theory integrally. A stability condition is...

Full description

Saved in:
Bibliographic Details
Published in2007 Chinese Control Conference pp. 735 - 739
Main Author Chen Duanlai
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2007
Subjects
Bismuth
Comparison principle theory
Distributed control
Interconnected systems
Iterative algorithms
Iterative methods
LMI
Lurie composited systems
Lyapunov method
Nonlinear systems
Output feedback
Output feedback stabilizing
Stability
Online AccessGet full text
ISBN9787811240559
7811240556
ISSN1934-1768
DOI10.1109/CHICC.2006.4347108

Cover

More Information
Summary:A comparing model is introduced to transfer the problem of output feedback for stabilizing the Lurie composited nonlinear systems into output feedback stabilizing the comparison systems of lower dimensions, by employing differential and Lyapunov stability theory integrally. A stability condition is developed in form of M matrix, the corresponding LMI expression is founded, which leads to an iterative approach to obtain the output feedback gain. An algorithm to obtain the output-feedback gain matrix is developed here based on the LMI technique. The key technique of developing iterative law of the matrix variable existing in QMI is discussed also. The character of the results proposed here is decreasing complexity. Finally, a numerical example is given to illustrate our results and its application.
ISBN:9787811240559
7811240556
ISSN:1934-1768
DOI:10.1109/CHICC.2006.4347108