A new design of H-infinity piecewise filtering for discrete-time nonlinear time-varying delay systems via T-S Fuzzy affine models
Date
2017
Authors
Wei, Y.
Qiu, J.
Shi, P.
Lam, H.
Editors
Advisors
Journal Title
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Journal article
Citation
IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 2017; 47(8):2034-2047
Statement of Responsibility
Yanling Wei, Jianbin Qiu, S Peng Shi, and Hak-Keung Lam
Conference Name
Abstract
This paper proposes a novel delay-dependent approach to the piecewise-affine H-infinity filter design for discrete-time state-delayed nonlinear systems. The nonlinear plant is expressed by a Takagi-Sugeno fuzzy-affine model and the state delay is considered to be time-varying with available lower and upper bounds. The purpose is to design an admissible filter that guarantees the asymptotic stability of the resulting filtering error system (FES) with a prescribed disturbance attenuation level in an H-infinity sense. By applying a new piecewise-fuzzy Lyapunov-Krasovskii functional, combined with a novel summation inequality, improved reciprocally convex inequality and S-procedure, the H-infinity performance analysis criterion is first developed for the FES. Furthermore, the filter synthesis is carried out by some elegant convexification techniques. Finally, simulation examples are employed to confirm the effectiveness and less conservatism of the proposed methods.
School/Discipline
Dissertation Note
Provenance
Description
Date of publication August 30, 2016; date of current version July 17, 2017.
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© 2016 IEEE