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A simple approach to robust D ‐stability analysis for uncertain singular delay systems
Author(s) -
Lu Renquan,
Su Hongye,
Chu Jian,
Xue Anke
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.119
Subject(s) - simple (philosophy) , impulse (physics) , eigenvalues and eigenvectors , control theory (sociology) , stability (learning theory) , mathematics , robust control , state (computer science) , computer science , control (management) , control system , algorithm , engineering , artificial intelligence , philosophy , physics , epistemology , quantum mechanics , machine learning , electrical engineering
This note presents a simple approach to analyze robust D ‐stability for uncertain continuous‐time singular systems with state delay and structured uncertainties. Sufficient conditions, which are computationally simple, and need not calculate the eigenvalues of the system, are proposed to ensure that the uncertain continuous‐time singular delay system is regular, impulse free and D ‐stable, that is, all its finite poles are located within a specified disk. Two numerical examples are given to demonstrate the application of the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society