An improved stability criterion for discrete-time Lur'e systems with sector- and slope-restrictions
SCIE
SCOPUS
- Title
- An improved stability criterion for discrete-time Lur'e systems with sector- and slope-restrictions
- Authors
- Park, BY; Park, P; Kwon, NK
- Date Issued
- 2015-01
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- This paper introduces an improved stability criterion for discrete-time Lur'e systems with sector- and slope-restrictions. For the stability criterion, a Lur'e Lyapunov functional candidate is constructed to include quadratic terms and integration terms with nonlinearities. To handle the resulting integration terms in the Lyapunov difference, there is proposed a new bound lemma where the integration terms are relaxed into the second-order terms by the geometric point of view. In addition, an appropriate weighting method uses slack variables from the sector- and slope-restrictions. In the overall derivation, the stabilization condition is formulated in terms of a parameterized linear matrix inequality (PLMI), which is then converted into the linear matrix inequality. An example illustrates that the proposed criterion presents a less conservative result than the previous criteria in the literature. (C) 2014 Elsevier Ltd. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/13538
- DOI
- 10.1016/J.AUTOMATICA.2014.10.098
- ISSN
- 0005-1098
- Article Type
- Article
- Citation
- AUTOMATICA, vol. 51, page. 255 - 258, 2015-01
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