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Global Finite-Time Output-Feedback Stabilization for Uncertain Nonlinear Systems with High-Order and Low-Order Nonlinearities via Dynamic Gain

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Proceedings of 2021 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 803))

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Abstract

This paper focuses on global finite-time output feedback stabilization of uncertain nonlinear systems, whose nonlinearities contain high-order and low-order terms simultaneously. Firstly, making use of adding a power integrator method, a state feedback controller is constructed with a dynamic gain. Then, a reduced-order observer is proposed and the corresponding output feedback controller is established by virtue of certainty equivalence principle, which can successfully stabilize the whole system to zero in finite time.

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Acknowledgement

This work was supported in part by National Natural Science Foundation of China (No. 61873061).

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Correspondence to Junyong Zhai .

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Tan, Y., Zhai, J. (2022). Global Finite-Time Output-Feedback Stabilization for Uncertain Nonlinear Systems with High-Order and Low-Order Nonlinearities via Dynamic Gain. In: Jia, Y., Zhang, W., Fu, Y., Yu, Z., Zheng, S. (eds) Proceedings of 2021 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 803. Springer, Singapore. https://doi.org/10.1007/978-981-16-6328-4_4

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