Global sampled-data output feedback stabilisation for a class of nonlinear systems with unknown output function

ABSTRACT

This paper discusses the problem of global sampled-data output feedback stabilisation for a class of nonlinear systems whose output function is unknown. A systematic design scheme is developed to construct a linear output feedback control law in sampled-data form. An explicit formula for the maximum allowable sampling period is computed to guarantee global stability of the uncertain nonlinear systems under the proposed controller with appropriate gains. Two examples are given to demonstrate the effectiveness of the proposed design procedure.

KEYWORDS:

• Output feedback
• sampled-data
• nonlinear systems
• feedback 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.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Natural Science Foundation of China [grant number 61473082], [grant number 61304007], [grant number 61273119], [grant number 61104068], Six Talents Peaks Program of Jiangsu Province [grant number 2014-DZXX-003], Research Fund for the Doctoral Program of Higher Education of China [grant number 20130111120007], Fundamental Research Funds for the Central Universities [grant number 2242013R30006] and PAPD.