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

Shu Jun Liu; Zhong Ping Jiang; Ji Feng Zhang

doi:10.1109/CCA.2007.4389326

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

Shu Jun Liu, Zhong Ping Jiang, Ji Feng Zhang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Pages	771-776
Number of pages	6
DOIs	https://doi.org/10.1109/CCA.2007.4389326
State	Published - 2007
Event	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control - , Singapore Duration: Oct 1 2007 → Oct 3 2007

Publication series

Name	Proceedings of the IEEE International Conference on Control Applications

Other

Other	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Country/Territory	Singapore
Period	10/1/07 → 10/3/07

ASJC Scopus subject areas

General Engineering

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10.1109/CCA.2007.4389326

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). Article 4389326 (Proceedings of the IEEE International Conference on Control Applications). 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 (Proceedings of the IEEE International Conference on Control Applications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Liu, SJ, Jiang, ZP & 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, Proceedings of the IEEE International Conference on Control Applications, 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 ZP, 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. (Proceedings of the IEEE International Conference on Control Applications). doi: 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 (Proceedings of the IEEE International Conference on Control Applications).

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

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