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Avtomatika i Telemekhanika, 2009, Issue 9, Pages 113–127
(Mi at529)
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This article is cited in 6 scientific papers (total in 6 papers)
Surveys
LMI-based analysis of robust adaptive control for linear systems with time-varying uncertainty
D. Peaucellea, H. M. Khana, P. V. Pakshinb a LAAS-CNRS, Université de Toulouse, Toulouse, France
b Arzamas Polytechnic Institute of Alekseev Nizhni Novgorod State Technical University, Arzamas, Russia
Abstract:
Passification-based adaptive control, also known as simple adaptive control, is studied with respect to its robustness to time-varying uncertainties. Results are formulated in terms of LMIs and are therefore testable in polynomial time using semi-definite programming solvers. The main result shows that the adaptive strategy allows, without measurement nor estimation of the uncertain parameters to guarantee asymptotic stability for
a wide rage of these parameters. To achieve this result, the stability property is relaxed: convergence is proved to a small neighborhood of the origin, and attractive domain. It is also demonstrated that this attractor can be made as small as required the only limitation being implementation constraints.
Citation:
D. Peaucelle, H. M. Khan, P. V. Pakshin, “LMI-based analysis of robust adaptive control for linear systems with time-varying uncertainty”, Avtomat. i Telemekh., 2009, no. 9, 113–127; Autom. Remote Control, 70:9 (2009), 1540–1552
Linking options:
https://www.mathnet.ru/eng/at529 https://www.mathnet.ru/eng/at/y2009/i9/p113
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