Robust pole placement in LMI regions

This paper discusses analysis and synthesis techniques for robust pole placement in linear matrix inequality (LMI) regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matr...

Full description

Saved in:
Bibliographic Details
Main Authors: Chilali, M., Gahinet, P., Apkarian, P.
Format: Conference Proceeding
Language:English
Subjects:
Linear matrix inequalities
Linear systems
Robust control
Robust stability
Robustness
Stability analysis
State feedback
System testing
Uncertain systems
Uncertainty
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper discusses analysis and synthesis techniques for robust pole placement in linear matrix inequality (LMI) regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncertain systems, the notion of quadratic stability and the related robustness analysis tests are generalized to arbitrary LMI regions. The resulting tests for robust pole clustering are all numerically tractable since they involve solving LMIs, and cover both unstructured and parameter uncertainty. These analysis results are then applied to the synthesis of dynamic output-feedback controllers that robustly assign the closed-loop poles in a prescribed LMI region. With some conservatism, this problem is again tractable via LMI optimization. In addition, robust pole placement can be combined with other control objectives such as H/sub 2/ or H/sub /spl infin// performance to capture realistic sets of design specifications. Physically-motivated examples demonstrate the effectiveness of the approaches for robust analysis and synthesis.
ISSN:0191-2216
DOI:10.1109/CDC.1997.657634