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Global finite-time output feedback stabilisation for a class of uncertain nontriangular nonlinear systems

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  • Jun-Yong Zhai

Abstract

This article addresses the problem of global finite-time output feedback stabilisation for a class of nonlinear systems in nontriangular form with an unknown output function. Since the output function is not precisely known, traditional observers based on the output is not implementable. We first design a state observer and use the observer states to construct a controller to globally stabilise the nominal system without the perturbing nonlinearities. Then, we apply the homogeneous domination approach to design a scaled homogeneous observer and controller with an appropriate choice of gain to render the nonlinear system globally finite-time stable.

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  • Jun-Yong Zhai, 2014. "Global finite-time output feedback stabilisation for a class of uncertain nontriangular nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 637-646.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:637-646
    DOI: 10.1080/00207721.2012.724113
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    Cited by:

    1. Meng-Meng Jiang & Ping Wang & Xue-Jun Xie, 2017. "Global output feedback stabilisation of nonlinear time-delay systems with unknown output function," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2554-2564, September.

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