New results on H∞ filtering for nonlinear large-scale systems with interconnected time-varying delays

New results on H∞ filtering for nonlinear large-scale systems with interconnected time-varying delays

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Article ID: iaor20163246
Volume: 37
Issue: 5
Start Page Number: 948
End Page Number: 964
Publication Date: Sep 2016
Journal: Optimal Control Applications and Methods
Authors: , ,
Keywords: optimization, programming: nonlinear, matrices
Abstract:

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

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