Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems

Shu Jun Liu, Zhong-Ping Jiang, Ji Feng Zhang

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

Abstract

In this paper, the output-feedback stabilization problem is investigated for the first time for a class of stochastic nonlinear systems whose zero dynamics may be unstable. Under the assumption that the inverse dynamics of the system is stochastic input-to-state stabilizable, a stabilizing output-feedback controller is constructively designed by the integrator backstepping method together with a new reducedorder observer design and the technique of changing supply functions. It is shown that, under small-gain type conditions, the resulting closed-loop system is globally asymptotically stable in the probabilistic sense. The obtained results extend the existing methodology from deterministic systems to stochastic systems.

Original languageEnglish (US)
Title of host publication16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Pages771-776
Number of pages6
DOIs
StatePublished - 2007
Event16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control - , Singapore
Duration: Oct 1 2007Oct 3 2007

Other

Other16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
CountrySingapore
Period10/1/0710/3/07

Fingerprint

Nonlinear systems
Stabilization
Feedback
Backstepping
Stochastic systems
Closed loop systems
Controllers

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Liu, S. J., Jiang, Z-P., & Zhang, J. F. (2007). Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems. In 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control (pp. 771-776). [4389326] https://doi.org/10.1109/CCA.2007.4389326

Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems. / Liu, Shu Jun; Jiang, Zhong-Ping; Zhang, Ji Feng.

16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control. 2007. p. 771-776 4389326.

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

Liu, SJ, Jiang, Z-P & Zhang, JF 2007, Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems. in 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control., 4389326, pp. 771-776, 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control, Singapore, 10/1/07. https://doi.org/10.1109/CCA.2007.4389326
Liu SJ, Jiang Z-P, Zhang JF. Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems. In 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control. 2007. p. 771-776. 4389326 https://doi.org/10.1109/CCA.2007.4389326
Liu, Shu Jun ; Jiang, Zhong-Ping ; Zhang, Ji Feng. / Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems. 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control. 2007. pp. 771-776
@inproceedings{4e647ef3153c4888a4c947db66c99136,
title = "Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems",
abstract = "In this paper, the output-feedback stabilization problem is investigated for the first time for a class of stochastic nonlinear systems whose zero dynamics may be unstable. Under the assumption that the inverse dynamics of the system is stochastic input-to-state stabilizable, a stabilizing output-feedback controller is constructively designed by the integrator backstepping method together with a new reducedorder observer design and the technique of changing supply functions. It is shown that, under small-gain type conditions, the resulting closed-loop system is globally asymptotically stable in the probabilistic sense. The obtained results extend the existing methodology from deterministic systems to stochastic systems.",
author = "Liu, {Shu Jun} and Zhong-Ping Jiang and Zhang, {Ji Feng}",
year = "2007",
doi = "10.1109/CCA.2007.4389326",
language = "English (US)",
isbn = "1424404436",
pages = "771--776",
booktitle = "16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control",

}

TY - GEN

T1 - Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems

AU - Liu, Shu Jun

AU - Jiang, Zhong-Ping

AU - Zhang, Ji Feng

PY - 2007

Y1 - 2007

N2 - In this paper, the output-feedback stabilization problem is investigated for the first time for a class of stochastic nonlinear systems whose zero dynamics may be unstable. Under the assumption that the inverse dynamics of the system is stochastic input-to-state stabilizable, a stabilizing output-feedback controller is constructively designed by the integrator backstepping method together with a new reducedorder observer design and the technique of changing supply functions. It is shown that, under small-gain type conditions, the resulting closed-loop system is globally asymptotically stable in the probabilistic sense. The obtained results extend the existing methodology from deterministic systems to stochastic systems.

AB - In this paper, the output-feedback stabilization problem is investigated for the first time for a class of stochastic nonlinear systems whose zero dynamics may be unstable. Under the assumption that the inverse dynamics of the system is stochastic input-to-state stabilizable, a stabilizing output-feedback controller is constructively designed by the integrator backstepping method together with a new reducedorder observer design and the technique of changing supply functions. It is shown that, under small-gain type conditions, the resulting closed-loop system is globally asymptotically stable in the probabilistic sense. The obtained results extend the existing methodology from deterministic systems to stochastic systems.

UR - http://www.scopus.com/inward/record.url?scp=43049164352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43049164352&partnerID=8YFLogxK

U2 - 10.1109/CCA.2007.4389326

DO - 10.1109/CCA.2007.4389326

M3 - Conference contribution

SN - 1424404436

SN - 9781424404438

SP - 771

EP - 776

BT - 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control

ER -