1. Reduced-Order $$H_{\infty }$$ Filtering with Intermittent Measurements for a Class of 2D Systems.
- Author
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Boukili, Bensalem, Hmamed, Abdelaziz, and Tadeo, Fernando
- Subjects
PROBLEM solving ,ROBUST control ,LINEAR matrix inequalities ,SET theory ,TWO-dimensional models ,NUMERICAL analysis - Abstract
The problem of $$H_{\infty }$$ filter design for a class of 2D systems is solved here in the presence of intermittent measurements. Data dropouts are characterized using a stochastic variable satisfying the Bernoulli random binary distribution. Our attention is focused on the design of reduced-order $$H_{\infty }$$ filters such that the filtering error 2D stochastic system is robust mean-square asymptotically stable and fulfills a given $$H_{\infty }$$ disturbance attenuation level. We use a new formulation for a class of 2D system Fornasini-Marchesini (FM) models. A sufficient condition is established by means of the linear matrix inequalities (LMI) technique. The efficiency and viability of the proposed techniques and tools are demonstrated through a set of numerical examples. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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