NDLI: H∞ filter design for discrete time-varying delay systems: three-term approximation approach

Content Provider	IET Digital Library
Author	Zoulagh, Taha Aiss, Hicham El Hmamed, Abdelaziz Hajjaji, Ahmed El
Abstract	In this study, the analysis and design problems of H ∞ filtering for a class of discrete-time-varying delay systems are investigated. The authors' attention is focused on the filter design using scaled small gain (SSG) approach guaranteeing the robust asymptotic stability of the filtering error system with a prescribed H ∞ performance. A novel transformation model of the filtering error system is obtained via three-term approximation method and input–output approach based on SSG theorem. Then, the desired filter design is obtained through a convex optimisation problem resolution under a set of linear matrix inequality constraints. Finally, the use of many examples from the literature demonstrates the effectiveness of the proposed approach.
Starting Page	254
Ending Page	262
Page Count	9
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 2, Jan (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/2
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0325
Journal	IET Control Theory & Applications
Publisher Date	2017-11-02
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Theory Asymptotic Stability Convex Optimisation Problem Resolution Convex Programming Delay Discrete Control System Discrete Time System Discrete Time-varying Delay System Distributed Parameter Control System Filtering Error System H∞ Filter H∞ Filter Design H∞ Performance Input-output Approach Interpolation And Function Approximation Linear Algebra Linear Matrix Inequalities Linear Matrix Inequality Constraint Numerical Analysis Optimisation Technique Robust Asymptotic Stability Robust Control Scaled Small Gain Approach Signal Processing Theory SSG Theorem Stability in Control Theory Three-term Approximation Approach Time Varying Control System Time Varying System Transformation Model
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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