NDLI: Robust H 2 and H ∞ filtering for discrete-time uncertain Linear fractional transform systems

Content Provider	IET Digital Library
Author	Sadeghzadeh, Arash
Abstract	This study is concerned with the problem of robust H 2 and H ∞ filtering for uncertain discrete-time linear systems. Two types of time-invariant parametric uncertainty, namely polytopic and ellipsoidal, are considered and represented by a linear fractional transformation structure. Obtained auxiliary variables by a convex optimisation problem, play the role of decoupling the Lyapunov variables and the robust filter parameters, in order to cast the problem into a linear matrix inequality-based optimisation problem. The design conditions are derived based on the quadratic separation concept and employing appropriate parameterisations for the corresponding set of multipliers. The merit of the methods presented in this study lies in their less conservatism than the existing methods for the polytopic uncertain systems, as well as presenting a new convex optimisation procedure for the robust filtering for the ellipsoidal uncertain systems.
Starting Page	882
Ending Page	892
Page Count	11
ISSN	17518644
Volume Number	9
e-ISSN	17518652
Issue Number	Issue 6, Apr (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/9/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2014.0381
Journal	IET Control Theory & Applications
Publisher Date	2015-03-25
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Convex Optimisation Problem Convex Programming Discrete Control System Discrete Time System Discrete-time Uncertain Linear Fractional Transform System Ellipsoidal Uncertain System Filtering Method in Signal Processing H2 Filter H∞ Filter Linear Fractional Transformation Structure Linear Matrix Inequalities Linear Matrix Inequality-based Optimisation Problem Linear System Lyapunov Method Lyapunov Variable Decoupling Optimisation Technique Polytopic Uncertain System Quadratic Separation Concept Robust Filter Parameter Robust H2 Filtering Robust H∞ Filtering Signal Processing Theory Time-invariant Parametric Uncertainty Uncertain Discrete-time Linear System Uncertain System
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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