Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 88, Issue 8, Pages 1576-1585Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2015.1011697
Keywords
high-order nonlinear systems; low-order and high-order nonlinearities; finite-time stabilisation; dynamic gain control
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Funding
- Program for the Scientific Research Innovation Team in Colleges and Universities of Shandong Province
- National Natural Science Foundation of China [61273125]
- Shandong Provincial Natural Science Foundation of China [ZR2012FM018]
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This paper considers the finite-time stabilisation for a class of high-order nonlinear systems with both low-order and high-order nonlinearities. Based on the finite-time Lyapunov stability theorem together with the methods of dynamic gain control and adding one power integrator, a state feedback controller with gains being tuned online by two dynamic equations is proposed to guarantee the global finite-time stabilisation of the closed-loop system.
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