Adaptive finite-time control for nonlinear sytems

What is it about?

The paper discussed the problem about adaptive practical finite-time control for a class of single-input and single-output (SISO) nonlinear systems, in which the system nonlinear functions are assumed to be unknown. By combining adaptive fuzzy control approach with the backstepping technology, a backstepping-based adaptive fuzzy finite-time control scheme is proposed.

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Why is it important?

In our paper, a finite time stability lemma is first set up for adaptive fuzzy closed-loop systems, by which a finite time adaptive fuzzy controller is designed and finite time stability analysis is achieved. Unlike all the existing finite-time controllers, the sign functions or absolute value functions do not appear in the proposed controller. The designed finite time adaptive fuzzy controller is a continuous function of state and adaptive variables. This avoids tremble problem caused by discontinuous controller. Comparing with the existing results, the suggested virtual control signals and the real control law are simpler and easier to implement.

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