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Type: Journal article
Title: Analysis and design for delta operator systems with actuator saturation
Author: Yang, H.
Shi, P.
Li, Z.
Hua, C.
Citation: International Journal of Control, 2014; 87(5):987-999
Publisher: Taylor & Francis
Issue Date: 2014
ISSN: 0020-7179
Statement of
Hongjiu Yang, Peng Shi, Zhiwei Li and Changchun Hua
Abstract: This paper studies the problem of estimating the domain of attraction for delta operator systems under a pre-designed saturated linear feedback. Ellipsoids are used as the estimates of domain of attraction for delta operator systems. A condition is derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractive invariant. Moreover, some necessary and sufficient conditions are given for single input delta operator systems. The results are also further extended to determine the invariant sets for delta operator systems with persistent disturbances. Linear matrix inequalities based on the methods are developed for constructing feedback laws that achieve disturbance rejection with guaranteed stability requirements. Some numerical examples are given to illustrate the effectiveness of the developed techniques.
Keywords: Actuator saturation; delta operator system; stability analysis; disturbance rejection; set invariance
Description: Published online: 21 Feb 2014
Rights: © 2014 Taylor & Francis
DOI: 10.1080/00207179.2013.862864
Appears in Collections:Aurora harvest 2
Electrical and Electronic Engineering publications

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