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New results on H ∞ filtering for nonlinear large‐scale systems with interconnected time‐varying delays
Author(s) -
Phat V. N.,
Thanh N. T.,
Trinh H. M.
Publication year - 2015
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2216
Subject(s) - bounding overwatch , filter (signal processing) , bounded function , nonlinear system , control theory (sociology) , interval (graph theory) , mathematics , convergence (economics) , lyapunov function , set (abstract data type) , scale (ratio) , exponential stability , filter design , rate of convergence , computer science , mathematical analysis , telecommunications , channel (broadcasting) , physics , control (management) , quantum mechanics , combinatorics , artificial intelligence , economics , computer vision , programming language , economic growth
Summary This paper proposes a new design method of H ∞ filtering for nonlinear large‐scale systems with interconnected time‐varying delays. The interaction terms with interval time‐varying delays are bounded by nonlinear bounding functions including all states of the subsystems. A stable linear filter is designed to ensure that the filtering error system is exponentially stable with a prescribed convergence rate. By constructing a set of improved Lyapunov functions and using generalized Jensen inequality, new delay‐dependent conditions for designing H ∞ filter are obtained in terms of linear matrix inequalities. Finally, an example is provided to illustrate the effectiveness of the proposed result. Copyright © 2015 John Wiley & Sons, Ltd.
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