A descriptor system approach to robust stability analysis and controller synthesis

This note revisits the problem of robust stability analysis and synthesis via parameter dependent Lyapunov functions. A descriptor system approach is taken to deriving linear matrix inequality conditions for robust stability and robust stabilizability of the polytopic systems and the affine paramete...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2004-11, Vol.49 (11), p.2081-2084
Main Authors: Cao, Y.-Y., Lin, Z.
Format: Article
Language:English
Subjects:
Affine parameter systems
Applied sciences
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
descriptor systems
Exact sciences and technology
Linear matrix inequalities
Lyapunov functions
Lyapunov method
Mathematical models
parameter dependent Lyapunov functions
polytopic systems
Robust stability
Robust stabilization
Robustness
Stability
Stability analysis
State feedback
Sufficient conditions
Synthesis
Uncertainty
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This note revisits the problem of robust stability analysis and synthesis via parameter dependent Lyapunov functions. A descriptor system approach is taken to deriving linear matrix inequality conditions for robust stability and robust stabilizability of the polytopic systems and the affine parameter systems. Under these robust stabilizability conditions, state feedback laws that achieve robust stabilization are also constructed. The developed results can be viewed as a continuous-time counterpart of the discrete-time results by Oliveira et al. The effectiveness of the proposed analysis and synthesis approach is demonstrated by numerical examples.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2004.837749