Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes

C. Bennani, F. Bedouhene, A. Zemouche, H. Bibi, K. Chaib-Draa, A. Aitouche, R. Rajamani

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

1 Citation (Scopus)

Abstract

This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and 2-bounded disturbances. We propose a new variant of the classical two-steps LMI approach. In the first step, we use a slack variable technique to solve the optimization problem resulting from the stabilization problem by a static state feedback. In the second step, a part of the slack variable obtained is incorporated in the H∞ observer-based stabilization problem, to calculate simultaneously the Lyapunov matrix and the observer-based controller gains. Numerical evaluation by Monte Carlo is presented to show the superiority of the proposed Modified Two-Steps Method (MTSM) from LMI feasibility point of view.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4398-4402
Number of pages5
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

Fingerprint

Stabilization
State feedback
Linear systems
Controllers
Uncertainty

Keywords

  • Linear Matrix Inequalities (LMIs)
  • Observer-based control
  • criterion
  • uncertain systems

Cite this

Bennani, C., Bedouhene, F., Zemouche, A., Bibi, H., Chaib-Draa, K., Aitouche, A., & Rajamani, R. (2018). Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes. In 2018 Annual American Control Conference, ACC 2018 (pp. 4398-4402). [8431745] (Proceedings of the American Control Conference; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8431745

Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes. / Bennani, C.; Bedouhene, F.; Zemouche, A.; Bibi, H.; Chaib-Draa, K.; Aitouche, A.; Rajamani, R.

2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4398-4402 8431745 (Proceedings of the American Control Conference; Vol. 2018-June).

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

Bennani, C, Bedouhene, F, Zemouche, A, Bibi, H, Chaib-Draa, K, Aitouche, A & Rajamani, R 2018, Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes. in 2018 Annual American Control Conference, ACC 2018., 8431745, Proceedings of the American Control Conference, vol. 2018-June, Institute of Electrical and Electronics Engineers Inc., pp. 4398-4402, 2018 Annual American Control Conference, ACC 2018, Milwauke, United States, 6/27/18. https://doi.org/10.23919/ACC.2018.8431745
Bennani C, Bedouhene F, Zemouche A, Bibi H, Chaib-Draa K, Aitouche A et al. Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes. In 2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 4398-4402. 8431745. (Proceedings of the American Control Conference). https://doi.org/10.23919/ACC.2018.8431745
Bennani, C. ; Bedouhene, F. ; Zemouche, A. ; Bibi, H. ; Chaib-Draa, K. ; Aitouche, A. ; Rajamani, R. / Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes. 2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 4398-4402 (Proceedings of the American Control Conference).
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