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An observer-based control scheme using negative-imaginary theory

delete2017-07-01
delete23
PRE
AI
P
Parijat Bhowmick *
S
Sourav Patra
DOI:10.1016/j.automatica.2017.03.024delete
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摘要

摘要

En 中文
This paper presents a full-order state observer-based scheme that transforms a causal, LTI, minimally realized system into a strongly strict negative-imaginary system by defining an auxiliary output based on the observed states. The auxiliary output is used for closed-loop control with positive feedback invoking the internal stability condition of negative-imaginary theory. A set of LMI conditions is derived that determines the value of a design parameter mu, required for the proposed scheme to transform a given system with a minimal state-space realization into a strongly strict negative-imaginary system. The proposed scheme is applicable for both stable/unstable and square/non-square systems. In this paper, the framework is further explored for robustness analysis of uncertain systems and numerical examples are given to elucidate effectiveness of the proposed results. (C) 2017 Elsevier Ltd. All rights reserved.
Keyword:
Strongly strict negative-imaginary systems
Positive feedback
Observer
Linear matrix inequality
Robustness
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期刊

Automatica 封面图
Automatica
IF:
5.9
论文数:
1.2W
被引数:
5.2W

机构

I
indian institute of technology system (iit system)
学者数:
9.5W
论文数: 9.9W
被引数: 93
I
indian institute of technology (iit) - kharagpur
学者数:
6.2K
论文数: 6.5K
被引数: 6
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