This paper aims to deal with the problem of the global stabilization for a class of tension leg platform (TLP) nonlinear control systems.
It is well-known that, in general, the global asymptotic stability of the TLP subsystems does not imply the global asymptotic stability of the composite closed-loop system.
An effective approach is proposed to control chaos via the combination of fuzzy controllers, fuzzy observers and dithers.
If a fuzzy controller and a fuzzy observer cannot stabilize the chaotic system, a dither, as an auxiliary of the controller and the observer, is simultaneously introduced to asymptotically stabilize the chaotic system.
Thus, the behavior of the closed-loop dithered chaotic system can be rigorously predicted by establishing that of the closed-loop fuzzy relaxed system.
Chen, T., Khurram, S. and Cheng, C. (2019), "A relaxed structural mechanics and fuzzy control for fluid–structure dynamic analysis", Engineering Computations, Vol. 36 No. 7, pp. 2200-2219. https://doi.org/10.1108/EC-11-2018-0522
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