An algebraic denoising scheme

J. Cortés-Romero, C. García-Rodríguez, A. Luviano-Juárez, R. Portillo-Vélez, H. Sira-Ramírez

Research output: Contribution to conferencePaper

4 Citations (Scopus)

Abstract

In this paper, the noise filtering problem ("denoising" problem) is approached via a suitable modification of the traditional Luenberger observer approach, also known as the "high gain observer" approach (HGO). The HGO observer is, fundamentally, a Luenberger observer with large stable eigenvalues of the output estimation error dynamics. HGO and some of its modifications have been particularly useful in the linear based control of perturbed linear and nonlinear systems. HGO are, however, inappropriate to deal with noisy injection signals and noisy plants. To overcome this fact, the structure of the Luenberger state estimator reconstructing the time derivatives of the given signal is enhanced against the effects of noise by means of an algebraic filtering scheme. The algebraic filtering consists in a suitable modification of the recently introduced algebraic parameter identification methodology. The proposed approach is capable of attenuating the noise effects significantly. The proposed strategy is illustrated via numerical simulations.
Original languageAmerican English
DOIs
StatePublished - 1 Dec 2009
Externally publishedYes
Event2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009 -
Duration: 1 Dec 2009 → …

Conference

Conference2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009
Period1/12/09 → …

Fingerprint

high gain
Error analysis
Linear systems
Nonlinear systems
Identification (control systems)
Derivatives
Computer simulation
parameter identification
linear systems
nonlinear systems
estimators
eigenvalues
methodology
injection
output
simulation

Cite this

Cortés-Romero, J., García-Rodríguez, C., Luviano-Juárez, A., Portillo-Vélez, R., & Sira-Ramírez, H. (2009). An algebraic denoising scheme. Paper presented at 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009, . https://doi.org/10.1109/ICEEE.2009.5393426
Cortés-Romero, J. ; García-Rodríguez, C. ; Luviano-Juárez, A. ; Portillo-Vélez, R. ; Sira-Ramírez, H. / An algebraic denoising scheme. Paper presented at 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009, .
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Cortés-Romero, J, García-Rodríguez, C, Luviano-Juárez, A, Portillo-Vélez, R & Sira-Ramírez, H 2009, 'An algebraic denoising scheme', Paper presented at 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009, 1/12/09. https://doi.org/10.1109/ICEEE.2009.5393426

An algebraic denoising scheme. / Cortés-Romero, J.; García-Rodríguez, C.; Luviano-Juárez, A.; Portillo-Vélez, R.; Sira-Ramírez, H.

2009. Paper presented at 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009, .

Research output: Contribution to conferencePaper

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AU - Cortés-Romero, J.

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AU - Sira-Ramírez, H.

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Cortés-Romero J, García-Rodríguez C, Luviano-Juárez A, Portillo-Vélez R, Sira-Ramírez H. An algebraic denoising scheme. 2009. Paper presented at 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2009, . https://doi.org/10.1109/ICEEE.2009.5393426