An LMI condition for robust stability of polynomial matrix polytopes

Authors
Henrion, D Arzelier, D Peaucelle, D Sebek, M
Citation
D. Henrion et al., An LMI condition for robust stability of polynomial matrix polytopes, AUTOMATICA, 37(3), 2001, pp. 461-468
Citations number
16
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
37
Issue
3
Year of publication
2001
Pages
461 - 468
Database
ISI
SICI code
0005-1098(200103)37:3<461:ALCFRS>2.0.ZU;2-B
Abstract
A sufficient LMI condition is proposed for checking robust stability of a p olytope of polynomial matrices. It hinges upon two recent results: a new ap proach to polynomial matrix stability analysis and a new robust stability c ondition for convex polytopic uncertainty. Numerical experiments illustrate that the condition narrows significantly the unavoidable gap between conse rvative tractable quadratic stability results and exact NP-hard robust stab ility results. (C) 2001 Elsevier Science Ltd. All rights reserved.