Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 26, Issue 3, Pages 1207-1216Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2017.2717804
Keywords
Adaptive fuzzy control; backstepping; finite-time tracking; nonlinear systems
Funding
- National Natural Science Foundation of China [61473160, 61503223, 61673227]
- Project of Shandong Province Higher Educational Science and Technology Program [J15LI09]
- China Postdoctoral Science Foundation [2016M592140]
- Shandong Innovation Postdoctoral Program [201603066]
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This paper addresses the finite-time tracking problem of nonlinear pure-feedback systems. Unlike the literature on traditional finite-time stabilization, in this paper the nonlinear system functions, including the bounding functions, are all totally unknown. Fuzzy logic systems are used to model those unknown functions. To present a finite-time control strategy, a criterion of semiglobal practical stability in finite time is first developed. Based on this criterion, a novel adaptive fuzzy control scheme is proposed by a backstepping technique. It is shown that the presented controller can guarantee that the tracking error converges to a small neighborhood of the origin in a finite time, and the other closed-loop signals remain bounded. Finally, two examples are used to test the effectiveness of proposed control strategy.
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