Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements

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Authors

Shen, Yanjun
Zhang, Daoyuan
Xia, Xiaohua

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Publisher

Wiley

Abstract

This paper addresses the problem of output feedback stabilization for nonlinear systems with sampled and delayed output measurements. Firstly, sufficient conditions are proposed to ensure that a class of hybrid systems are globally exponentially stable. Then, based on the sufficient conditions and a dedicated construction continuous observer, an output feedback control law is presented to globally exponentially stabilize the nonlinear systems. The output feedback stabilizer is continuous and hybrid, and can be derived without discretization. The maximum allowable sampling period and the maximum delay are also given. At last, a numerical example is provided to illustrate the design methods.

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Keywords

Nonlinear systems, Output feedback stabilization, Hybrid systems, Sampled-data, Delayed measurements

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Citation

Shen, Y, Zhang, D & Xia, X 2016, 'Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements', International Journal of Robust and Nonlinear Control, vol. 26, no. 14, pp. 3075-3087.