Fixed-time stabilization of high-order integrator systems with mismatched disturbances

Bailing Tian; Hanchen Lu; Zongyu Zuo; Hong Wang

doi:10.1007/s11071-018-4532-3

Fixed-time stabilization of high-order integrator systems with mismatched disturbances

Bailing Tian, Hanchen Lu, Zongyu Zuo, Hong Wang

Research output: Contribution to journal › Article › peer-review

70 Scopus citations

Abstract

The fixed-time stabilization of high-order integrator systems with both matched and mismatched disturbances is investigated. A continuous non-switching control law is designed based on the bi-limit homogeneous technique for arbitrary-order integrator systems. Combining with fixed-time disturbance observer, the proposed continuous control law for the system with matched and mismatched disturbances guarantees that the convergence time is uniformly bounded with respect to any initial states. Finally, the numerical results are provided to verify the efficiency of the developed method.

Original language	English
Pages (from-to)	2889-2899
Number of pages	11
Journal	Nonlinear Dynamics
Volume	94
Issue number	4
DOIs	https://doi.org/10.1007/s11071-018-4532-3
State	Published - Dec 1 2018
Externally published	Yes

Funding

Acknowledgements The work was done when the authors were with the University of Manchester, UK, and it was supported in part by the National Natural Science Foundation of China (Grant Nos. 61673034, 61673294 and 61773278) and in part by the Ministry of Education Equipment Development Fund under Grant Nos. 6141A02033311 and 6141A02022328.

Keywords

Disturbance observer
Fixed-time stability
Mismatched disturbances

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10.1007/s11071-018-4532-3

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abstract = "The fixed-time stabilization of high-order integrator systems with both matched and mismatched disturbances is investigated. A continuous non-switching control law is designed based on the bi-limit homogeneous technique for arbitrary-order integrator systems. Combining with fixed-time disturbance observer, the proposed continuous control law for the system with matched and mismatched disturbances guarantees that the convergence time is uniformly bounded with respect to any initial states. Finally, the numerical results are provided to verify the efficiency of the developed method.",

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Fixed-time stabilization of high-order integrator systems with mismatched disturbances

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