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New Sufficient Conditions for Robust Fuzzy Hyperbolic Tangent Control of Uncertain Nonlinear Systems with Time-varying Delay by Huaguang Zhang; Xinrui Liu; Qingxian Gong; Bing Chen is a Computer Science article available to read on EtoBox.

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This paper considers the delay-dependent robust H ∞ control problem based on fuzzy hyperbolic model (FHM) for a class of uncertain nonlinear systems with time-varying delay. Firstly, FHM modeling method is presented for uncertain nonlinear systems with time-varying delay. Secondly, the new delay-dependent sufficient condition for the existence of a state feedback fuzzy hyperbolic tangent controller is proposed in terms of linear matrix inequalities (LMIs) by constructing a novel Lyapunov-Krasovskii functional. The robust FHM-based control law can guarantee that the closed-loop system is robustly asymptotically stable with a prescribed H ∞ index. As more information of the FHM and the size of time-delay are taken into account, the proposed conditions are new and less conservative. Finally, three illustrative examples are given to show the effectiveness of using FHM-based controllers.

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Author

Huaguang Zhang; Xinrui Liu; Qingxian Gong; Bing Chen

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0165-0114)

Published

2010

Language

EN

Field

Computer Science (Physical Sciences)