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On higher‐order truncated predictor feedback for linear systems with input delay
Author(s) -
Zhou Bin,
Li ZhaoYan,
Lin Zongli
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3012
Subject(s) - control theory (sociology) , order (exchange) , intuition , first order , computer science , mathematics , artificial intelligence , control (management) , philosophy , finance , epistemology , economics
SUMMARY This paper is concerned with the problem of stabilizing a linear system with input delay. Motivated by the first‐order truncated predictor feedback (TPF) approach recently developed by the authors, a general higher‐order TPF controller that contains higher‐order terms of the nominal feedback gains is proposed. It is shown that this higher‐order TPF can also globally and semi‐globally stabilize the concerned time‐delay systems in the absence and in the presence of input saturation, respectively. Safe implementation via numerical approximation of this higher‐order TPF is also established. However, in spite of the fact that the higher‐order TPF utilizes more information of the state, numerical examples have demonstrated that the first‐order TPF outperforms the higher‐order TPF, indicating that the intuition of higher‐order approximation leading to better results is incorrect in this case.Copyright © 2013 John Wiley & Sons, Ltd.