H2 and H∞ filtering for linear systems with unknown inputs and polytopic uncertainty

Hosam E. Emara-Shabaik; Magdi S. Mahmoud; Yan Shi

H₂ and H_∞ filtering for linear systems with unknown inputs and polytopic uncertainty

Hosam E. Emara-Shabaik, Magdi S. Mahmoud, Yan Shi

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

State estimation of linear systems under the influence of both unknown deterministic time varying disturbance inputs and, Gaussian noise is considered. Two new filters are developed. The first is based on H₂ estimation while the second, is based, on ℋ_∞ estimation. Extension to the case of real convex parametric uncertainties in the system matrices is presented. Performance of the developed filters is numerically illustrated using a fifth order dynamic system.

Original language	English
Pages (from-to)	2211-2220
Number of pages	10
Journal	International Journal of Innovative Computing, Information and Control
Volume	6
Issue number	5
State	Published - May 2010

Keywords

Linear systems, Unknown inputs, Polytopic uncertainty, ℋ /ℋ filtering, Fault tolerant estimation, Fault detection and isolation

ASJC Scopus subject areas

Software
Theoretical Computer Science
Information Systems
Computational Theory and Mathematics

Cite this

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title = "H2 and H∞ filtering for linear systems with unknown inputs and polytopic uncertainty",

abstract = "State estimation of linear systems under the influence of both unknown deterministic time varying disturbance inputs and, Gaussian noise is considered. Two new filters are developed. The first is based on H2 estimation while the second, is based, on ℋ∞ estimation. Extension to the case of real convex parametric uncertainties in the system matrices is presented. Performance of the developed filters is numerically illustrated using a fifth order dynamic system.",

keywords = "Linear systems, Unknown inputs, Polytopic uncertainty, ℋ /ℋ filtering, Fault tolerant estimation, Fault detection and isolation",

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AU - Emara-Shabaik, Hosam E.

AU - Mahmoud, Magdi S.

AU - Shi, Yan

PY - 2010/5

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N2 - State estimation of linear systems under the influence of both unknown deterministic time varying disturbance inputs and, Gaussian noise is considered. Two new filters are developed. The first is based on H2 estimation while the second, is based, on ℋ∞ estimation. Extension to the case of real convex parametric uncertainties in the system matrices is presented. Performance of the developed filters is numerically illustrated using a fifth order dynamic system.

AB - State estimation of linear systems under the influence of both unknown deterministic time varying disturbance inputs and, Gaussian noise is considered. Two new filters are developed. The first is based on H2 estimation while the second, is based, on ℋ∞ estimation. Extension to the case of real convex parametric uncertainties in the system matrices is presented. Performance of the developed filters is numerically illustrated using a fifth order dynamic system.

KW - Linear systems, Unknown inputs, Polytopic uncertainty, ℋ /ℋ filtering, Fault tolerant estimation, Fault detection and isolation

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JF - International Journal of Innovative Computing, Information and Control

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