Finite-time output feedback control for a class of stochastic low-order nonlinear systems

ABSTRACT

This paper discusses the problem of finite-time stabilisation for a class of stochastic low-order nonlinear systems via output feedback. By generalising the adding a power integrator technique, constructing an implementable reduced-order observer and using the stochastic finite-time stability criterion, a finite-time output feedback controller is presented to guarantee that the closed-loop system is finite-time stable in probability. A simulation example is provided to verify the effectiveness of the proposed design method.

KEYWORDS:

• Stochastic low-order nonlinear systems
• finite-time stabilisation
• output feedback control

Acknowledgments

The authors would like to express sincere gratitude to the editor and reviewers for their helpful comments and suggestions in improving the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Program for Changjiang Scholars and Innovative Research Team in University [grant number IRT13072]; the National Natural Science Foundation of China [grant number 61403041]; the China Postdoctoral Science Foundation [grant numbers 2015M580435, 2016T90462]; the Program for Liaoning Excellent Talents in University [grant number LJQ2015001]; a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.