Global output feedback stabilisation for a class of upper triangular stochastic nonlinear systems

Abstract

This paper investigates the problem of global output feedback stabilisation for a class of upper triangular stochastic nonlinear systems which are neither necessarily feedback linearisable nor affine in the control input. Based on the adding of a power integrator technique and homogeneous domination approach, an output feedback controller is explicitly constructed to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the design scheme.

Keywords:

• stochastic nonlinear systems
• upper triangular systems
• stability analysis
• output feedback
• homogeneous domination

Acknowledgements

The authors wish to thank the anonymous referees and the editor for their constructive comments and suggestions, which have improved the presentation of this paper.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61104068], [grant number 61304007]; Natural Science Foundation of Jiangsu Province [grant number BK2010200]; Research Fund for the Doctoral Program of Higher Education of China [grant number 20090092120027], [grant number 20130111120007]; China Postdoctoral Science Foundation Funded Project [grant number 2012M511176], [grant number 2012M521217]; the Fundamental Research Funds for the Central Universities [grant number 2242013R30006].