An LMI approach to robust reduced-order H ∞ filter design for polytopic uncertain systems

Autor:	Suk-Kyo Hong, Dongkyoung Chwa, Hyoun-Chul Choi
Rok vydání:	2009
Předmět:	Filter design Mathematical optimization H-infinity methods in control theory Rank (linear algebra) Control and Systems Engineering Control theory Convex optimization Linear matrix inequality Uncertain systems Mechatronics H filter Computer Science Applications Mathematics
Zdroj:	International Journal of Control, Automation and Systems. 7:487-494
ISSN:	1598-6446
DOI:	10.1007/s12555-009-0319-0
Popis:	This paper proposes a method for robust reduced-order H∞ filter design for polytopic uncertain systems, using linear matrix inequalities (LMIs). Sufficient LMI conditions for both robust full- and reduced-order H∞ filter design are derived. Convex optimization problems are formulated and solved to obtain optimal H∞ filters by using the resulting LMI conditions. The resulting conditions do not involve any non-convex rank constraints, and thus the proposed method for H∞ filter design guarantees global optimum solutions. Numerical examples are presented to show the effectiveness of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::deb2248f8b961239ce46294ab161fc33 https://doi.org/10.1007/s12555-009-0319-0 Zobrazit plný text záznamu Full text from SpringerLink