Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 94, Issue 7, Pages 1349-1362Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2016.1190011
Keywords
Nonlinear system; fixed-time stable; trajectory tracking; settling time estimate; adding a power integrator; 03C65; 13M10; 34D20; 37C75
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Funding
- National Natural Science Foundation of China [61273091, 61403227, 61403228]
- Project of Taishan Scholar of Shandong Province of China
- Ph.D. Programs Foundation of Ministry of Education of China
- Natural Science Foundation of Jiangsu Province of China [BK20130989]
- Graduate Student Innovation Foundation of Jiangsu Province of China [KYLX15_0116]
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Fixed-time control is more preferable than finite-time control in practical applications since the settling time is independent of the system initial condition in a fixed-time control problem. Moreover, systems in real world usually suffer from unfavourable factors, such as unknown control coefficients and external disturbance. In this paper, we consider the fixed-time tracking control for a class of nonlinear systems by considering the aforementioned two points. A strategy for specifying the control input is established by the method of adding a power integrator. The designed control law guarantees that the reference signal can be followed in a fixed time. As an application, the bank-to-turn missile system is used to show the efficiency of the proposed fixed-time tracking scheme.
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