Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties

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

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

Abstract

In this paper, the problem of adaptive stabilization is investigated for stochastic nonlinear systems with three types of uncertainties: parametric uncertainties, uncertain nonlinearities and unmodeled dynamics. Under the assumption that the unmodeled dynamics are stochastic input-to-state stable, for the general smooth systems in which both drift and diffusion vector fields depend on not only the output but also the unmodeled dynamics, an adaptive output-feedback controller is constructively designed by the methods of adaptive backstepping with tuning function and changing the supply function. It is shown that under mild conditions, the closed-loop system is bounded in probability and moreover, the output can be regulated to the origin almost surely when the drift and diffusion vector fields vanish at the origin.

Original languageEnglish (US)
Title of host publication2006 Chinese Control Conference Proceedings, CCC 2006
Pages2064-2069
Number of pages6
DOIs
StatePublished - 2007
Event25th Chinese Control Conference, CCC 2006 - Harbin, China
Duration: Aug 7 2006Aug 11 2006

Other

Other25th Chinese Control Conference, CCC 2006
CountryChina
CityHarbin
Period8/7/068/11/06

Fingerprint

Unmodeled Dynamics
Nonlinear Stochastic Systems
Nonlinear systems
Stabilization
Uncertainty
Vector Field
Backstepping
Parametric Uncertainty
Output
Output Feedback
Closed loop systems
Closed-loop System
Vanish
Tuning
Nonlinearity
Feedback
Controller
Controllers

Keywords

  • Adaptive control
  • Stochastic input-to-state stable (SISS)
  • Unmodeled dynamics

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Liu, S. J., Zhang, J. F., & Jiang, Z-P. (2007). Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties. In 2006 Chinese Control Conference Proceedings, CCC 2006 (pp. 2064-2069). [4060466] https://doi.org/10.1109/CHICC.2006.280918

Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties. / Liu, Shu Jun; Zhang, Ji Feng; Jiang, Zhong-Ping.

2006 Chinese Control Conference Proceedings, CCC 2006. 2007. p. 2064-2069 4060466.

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

Liu, SJ, Zhang, JF & Jiang, Z-P 2007, Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties. in 2006 Chinese Control Conference Proceedings, CCC 2006., 4060466, pp. 2064-2069, 25th Chinese Control Conference, CCC 2006, Harbin, China, 8/7/06. https://doi.org/10.1109/CHICC.2006.280918
Liu SJ, Zhang JF, Jiang Z-P. Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties. In 2006 Chinese Control Conference Proceedings, CCC 2006. 2007. p. 2064-2069. 4060466 https://doi.org/10.1109/CHICC.2006.280918
Liu, Shu Jun ; Zhang, Ji Feng ; Jiang, Zhong-Ping. / Adaptive asymptotic stabilization for stochastic nonlinear systems with dynamic uncertainties. 2006 Chinese Control Conference Proceedings, CCC 2006. 2007. pp. 2064-2069
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