Sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems

Jun Mao, Zhengrong Xiang, Guisheng Zhai

Research output: Contribution to journalArticle

Abstract

This paper investigates a global sampled-data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled-data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled-data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell-time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)2844-2861
Number of pages18
JournalInternational Journal of Robust and Nonlinear Control
Volume29
Issue number10
DOIs
Publication statusPublished - 2019 Jul 10

Fingerprint

Nonlinear systems
Stabilization
Sampling
Feedback
Controllers
Lyapunov functions
Merging

Keywords

  • average dwell-time method
  • nonlinear systems
  • sampled-data control
  • stochastic systems
  • switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Cite this

Sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems. / Mao, Jun; Xiang, Zhengrong; Zhai, Guisheng.

In: International Journal of Robust and Nonlinear Control, Vol. 29, No. 10, 10.07.2019, p. 2844-2861.

Research output: Contribution to journalArticle

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