Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach

Zoulagh, Taha; Haiek, Badreddine El; Hmamed, Abdelaziz

doi:10.1002/acs.2848

Cited by 6 publications

(1 citation statement)

References 45 publications

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“…Therein, filtering is one of important problems in the areas of control and signal processing, which is usually used to estimate unavailable variables of a given system through noisy measurements 20,21 . Because of the powerful signal estimation and good robustness performance, H ∞ filtering has become a hot topic, and many important results have emerged 23‐36 …”

Section: Introductionmentioning

confidence: 99%

RobustH_∞filtering for singular Markovian jump systems via decoupling and substitution principles

Tian

Wang

2021

Intl J Robust & Nonlinear

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This paper extends the existing results on the robust H∞ filtering problem for singular Markovian jump systems. Firstly, the double variables‐based decoupling principle and the variable substitution principle are proposed, respectively. Secondly, the two principles are employed to formulate a robust H∞ filter design condition, which ensures the filtering error system to be stochastically admissible and meet H∞ performance. Compared with the existing works, this paper fully considers the free structure of introduced slack matrices, which provides extra dimensions in the solution space. It directly leads to the reduction of conservativeness in the filtering solution. The effectiveness of the proposed methods is illustrated by a numerical example.

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Section: Introductionmentioning

confidence: 99%

RobustH_∞filtering for singular Markovian jump systems via decoupling and substitution principles

Tian

Wang

2021

Intl J Robust & Nonlinear

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Some improvements on “Homogenous polynomial H_∞ filtering for uncertain discrete‐time systems: A descriptor approach”

Jiang

Xia

Feng

2018

Adaptive Control & Signal

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SummaryIn this paper, the H∞ filtering problem for linear systems with polytopic uncertainties is reinvestigated. The continuous‐time case and the discrete‐time case are both considered. In contrast to the existing approaches presented in most literature, this paper transfers the concerned regular system model into a descriptor representation such that the descriptor formulations in the case of H∞ filtering design can be employed. The purpose of this paper is to design a filter such that the filtering error system is asymptotically stable with a prescribed H∞ performance level. By introducing a new structure conducted by a series of slack matrix variables, meanwhile, sufficient conditions for H∞ filter design are obtained in a less conservative linear matrix inequality manner. Numerical examples are presented to illustrate effectiveness of the proposed approach.

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Further results on $$H_{\infty }$$ filtering for uncertain 2-D discrete systems

Badie¹,

Alfidi²,

Chalh³

2020

Multidim Syst Sign Process

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Homogenous polynomial H_∞ filtering for uncertain discrete‐time systems: A descriptor approach

Cited by 6 publications

References 45 publications

RobustH_∞filtering for singular Markovian jump systems via decoupling and substitution principles

RobustH_∞filtering for singular Markovian jump systems via decoupling and substitution principles

Some improvements on “Homogenous polynomial H_∞ filtering for uncertain discrete‐time systems: A descriptor approach”

Further results on $$H_{\infty }$$ filtering for uncertain 2-D discrete systems

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Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach

Cited by 6 publications

References 45 publications

RobustH∞filtering for singular Markovian jump systems via decoupling and substitution principles

RobustH∞filtering for singular Markovian jump systems via decoupling and substitution principles

Some improvements on “Homogenous polynomial H∞ filtering for uncertain discrete‐time systems: A descriptor approach”

Further results on $$H_{\infty }$$ filtering for uncertain 2-D discrete systems

Contact Info

Product

Resources

About

Homogenous polynomial H_∞ filtering for uncertain discrete‐time systems: A descriptor approach

RobustH_∞filtering for singular Markovian jump systems via decoupling and substitution principles

RobustH_∞filtering for singular Markovian jump systems via decoupling and substitution principles

Some improvements on “Homogenous polynomial H_∞ filtering for uncertain discrete‐time systems: A descriptor approach”