New implementation of high-gain observers in the presence of measurement noise using stochastic approximation

Joonho Lee, Jongeun Choi, Hassan K. Khalil

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we propose a new method for implementation of a High-Gain Observer (HGO) to cope with measurement noise through Stochastic Approximation (SA). Most approaches have been using a trade-off between a speed of regeneration of states in the presence of uncertainties and the effect of measurement noise. Through SA, we are able to reserve authentic properties of the HGO i.e., a fast reconstruction of system states and robustness to uncertainties, while dealing with the effect of measurement noise both in practical and analytical manners. Regularity conditions are verified to analyze the stability by the associated Ordinary Differential Equation (ODE), i.e., the ODE method. Stability analysis of the full system is conducted. Numerical simulation results demonstrate the validity of the proposed design method.

Original languageEnglish
Title of host publication2016 European Control Conference, ECC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1740-1745
Number of pages6
ISBN (Electronic)9781509025916
DOIs
Publication statusPublished - 2017 Jan 6
Event2016 European Control Conference, ECC 2016 - Aalborg, Denmark
Duration: 2016 Jun 292016 Jul 1

Other

Other2016 European Control Conference, ECC 2016
CountryDenmark
CityAalborg
Period16/6/2916/7/1

Fingerprint

High-gain Observer
Stochastic Approximation
Ordinary differential equations
Ordinary differential equation
Uncertainty
Regeneration
Regularity Conditions
Design Method
Stability Analysis
Trade-offs
Robustness
Numerical Simulation
Computer simulation
Demonstrate

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization

Cite this

Lee, J., Choi, J., & Khalil, H. K. (2017). New implementation of high-gain observers in the presence of measurement noise using stochastic approximation. In 2016 European Control Conference, ECC 2016 (pp. 1740-1745). [7810542] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2016.7810542
Lee, Joonho ; Choi, Jongeun ; Khalil, Hassan K. / New implementation of high-gain observers in the presence of measurement noise using stochastic approximation. 2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 1740-1745
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Lee, J, Choi, J & Khalil, HK 2017, New implementation of high-gain observers in the presence of measurement noise using stochastic approximation. in 2016 European Control Conference, ECC 2016., 7810542, Institute of Electrical and Electronics Engineers Inc., pp. 1740-1745, 2016 European Control Conference, ECC 2016, Aalborg, Denmark, 16/6/29. https://doi.org/10.1109/ECC.2016.7810542

New implementation of high-gain observers in the presence of measurement noise using stochastic approximation. / Lee, Joonho; Choi, Jongeun; Khalil, Hassan K.

2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1740-1745 7810542.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Lee J, Choi J, Khalil HK. New implementation of high-gain observers in the presence of measurement noise using stochastic approximation. In 2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers Inc. 2017. p. 1740-1745. 7810542 https://doi.org/10.1109/ECC.2016.7810542