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Title: Non-fragile H∞ control with randomly occurring gain variations, distributed delays and channel fadings
Authors: Li, Z
Wang, Z
Ding, D
Shu, H
Keywords: Non-fragile H∞ control problem;Discrete-time systems
Issue Date: 2015
Publisher: Institution of Engineering and Technology
Citation: IET Control Theory and Applications, 9:2, pp. 222 - 231, 2015
Abstract: This study is concerned with the non-fragile H∞ control problem for a class of discrete-time systems subject to randomly occurring gain variations (ROGVs), channel fadings and infinite-distributed delays. A new stochastic phenomenon (ROGVs), which is governed by a sequence of random variables with a certain probabilistic distribution, is put forward to better reflect the reality of the randomly occurring fluctuation of controller gains implemented in networked environments. A modified stochastic Rice fading model is then exploited to account for both channel fadings and random time-delays in a unified representation. The channel coefficients are a set of mutually independent random variables which abide by any (not necessarily Gaussian) probability density function on [0, 1]. Attention is focused on the analysis and design of a non-fragile H∞ outputfeedback controller such that the closed-loop control system is stochastically stable with a prescribed H∞ performance. Through intensive stochastic analysis, sufficient conditions are established for the desired stochastic stability and H∞ disturbance attenuation, and the addressed non-fragile control problem is then recast as a convex optimisation problem solvable via the semidefinite programme method. An example is finally provided to demonstrate the effectiveness of the proposed design method.
ISSN: 1751-8652
Appears in Collections:Dept of Computer Science Research Papers

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