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Mao, Jun; Wang, Ronghao; Zou, Wencheng; Xiang, Zhengrong

Adaptive finite-time stabilizing control of fractional-order nonlinear systems with unmodeled dynamics via sampled-data output-feedback. (English) Zbl 1536.93444

Int. J. Robust Nonlinear Control 34, No. 7, 4898-4925 (2024).
Summary: This article realizes an adaptive finite-time sampled-data output-feedback stabilization for a class of fractional-order nonlinear systems with unmodeled dynamics and unavailable states. K-filters are constructed to estimate unavailable states, a dynamic signal is introduced to handle unmodeled dynamics and neural networks were used to approximate uncertain nonlinearities existed in stabilizer construction. With the help of backstepping technique, an adaptive sampled-data output-feedback stabilizer is exported, and such stabilizer with allowable design parameters and sampling period can render the corresponding closed-loop system reaches practically finite-time stable, which can be demonstrated by means of selected Lyapunov function candidates. In the end, two simulations with a numerical and an engineering examples are presented to verify the effectiveness of the proposed scheme.
© 2024 John Wiley & Sons Ltd.

MSC:

93C40 Adaptive control/observation systems
93D40 Finite-time stability
93C15 Control/observation systems governed by ordinary differential equations
34A08 Fractional ordinary differential equations
93C10 Nonlinear systems in control theory
93C57 Sampled-data control/observation systems
93B52 Feedback control

Keywords:

finite-time control; fractional-order nonlinear systems; output-feedback control; sampled-data control; unmodeled dynamics
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References:

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