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Controller synthesis with guaranteed closed-loop phase constraints

delete2008-12-01
delete10
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OA
AI
W
Wassim M. Haddad *
V
V. Chellaboina
B
Behnood Gholami
DOI:10.1016/j.automatica.2008.09.002delete
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摘要

摘要

En 中文
In this paper, we present an analysis and synthesis approach for guaranteeing that the phase of a single-input, single-output closed-loop transfer function is contained in the interval [-alpha, alpha] for a given alpha > 0 at all frequencies. Specifically, we first derive a sufficient condition involving a frequency domain inequality for guaranteeing a given phase constraint. Next, we use the Kalman-Yakubovich-Popov theorem to derive an equivalent time domain condition. In the case where alpha = pi/2, we show that frequency and time domain sufficient conditions specialize to the positivity theorem. Furthermore, using linear matrix inequalities, we develop a controller synthesis approach for guaranteeing a phase constraint on the closed-loop transfer function. Finally, we extend this synthesis approach to address mixed gain and phase constraints on the closed-loop transfer function. (C) 2008 Elsevier Ltd. All rights reserved.
Keyword:
Phase constraints
Gain constraints
LMIs
H(infinity) control
Kalman-Yakubovich-Popov equations
Positivity theory
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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

G
Georgia Institute of Technology
学者数:
1.8W
论文数: 1.4W
被引数: 5.9W
U
university system of georgia
学者数:
7.3W
论文数: 6.5W
被引数: 101
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