Analysis of robust stability of time-varying parameter polynomial-dependent linear systems

Based on the parameter-dependent Lyapunov function and S-procedure approach, this article presents a novel analysis approach to robust stability of single time-varying parameter, polynomial-dependent linear systems with polynomial degree L. The article gives not only a stability criterion obtained f...

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Bibliographic Details
Published in2008 7th World Congress on Intelligent Control and Automation pp. 8834 - 8837
Main Authors Yuan Mingting, Li Na, Zhao Ke-You
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2008
Subjects
Automation
Educational institutions
Electronic mail
Linear systems
LMI
polynomial-dependent Lyapunov function
Polynomials
robust stability
Time varying systems
time-varying parameter polynomial-dependent systems
Titanium
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Summary:Based on the parameter-dependent Lyapunov function and S-procedure approach, this article presents a novel analysis approach to robust stability of single time-varying parameter, polynomial-dependent linear systems with polynomial degree L. The article gives not only a stability criterion obtained from the feasibility test in terms of a pair of linear matrix inequalities (LMIs) containing parameter and its changing- rate bounds, and coefficient matrices of the polynomial, but also an algorithm to find the maximal parameter bound under a stable nominal system and a given parameter changing-rate bound. Some well-known previous results are encompassed as our special cases. Numerical examples are included for illustrating efficiency of our approach.
ISBN:1424421136
9781424421138
DOI:10.1109/WCICA.2008.4594322