Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma

2007 ◽  
Vol 17 (5-6) ◽  
pp. 415-434 ◽  
Author(s):  
T. Iwasaki ◽  
S. Hara
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Control Synthesis ◽  
Multiple Frequency ◽  
Kyp Lemma

FREQUENCY-DOMAIN CRITERIA FOR GLOBAL SYNCHRONIZATION OF MULTISCROLL CHAOTIC SYSTEMS UNDER LINEAR FEEDBACK CONTROL

2010 ◽  
Vol 20 (07) ◽  
pp. 2165-2177 ◽  
Author(s):  
XIAOFENG WU ◽  
ZHIFANG GUI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Frequency Domain ◽  
Chaotic Systems ◽  
Linear Feedback ◽  
Error Feedback ◽  
Linear Feedback Control ◽  
Global Synchronization ◽  
General Mathematical Model ◽  
Linear State ◽  
Absolute Stability Theory

This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations.

scholarly journals Generalizing the KYP Lemma to Multiple Frequency Intervals

2014 ◽  
Vol 52 (6) ◽  
pp. 3618-3638
Author(s):  
Goele Pipeleers ◽  
Tetsuya Iwasaki ◽  
Shinji Hara
Keyword(s):  
Multiple Frequency ◽  
Kyp Lemma
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