Ultimate Boundedness of Nonlinear Singularly Perturbed System with Measurement Noise

Kyung-In KANG  Kyun-Sang PARK  Jong-Tae LIM  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E96-A   No.4   pp.826-829
Publication Date: 2013/04/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E96.A.826
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Systems and Control
Keyword: 
singular perturbation,  measurement noise,  ultimate boundedness,  

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Summary: 
In this letter, we consider the ultimate boundedness of the singularly perturbed system with measurement noise. The composite controller is commonly used to regulate the singularly perturbed system. However, in the presence of measurement noise, the composite controller does not guarantee the ultimate boundedness of the singularly perturbed system. Thus, we propose the modified composite controller to show the ultimate boundedness of the singularly perturbed system with measurement noise.