Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 11, Issue 5, Pages 677-684Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2016.0947
Keywords
adaptive control; nonlinear control systems; fuzzy control; approximation theory; control nonlinearities; control system synthesis; Lyapunov methods; stability; closed loop systems; tracking error convergence; semiglobal practical finite-time stability; control design; finite-time Lyapunov stability theory; adaptive closed-loop system stability analysis; nonlinear uncertainty identification; fuzzy logic systems; backstepping-based adaptive fuzzy finite-time control; single-output nonlinear systems; single-input nonlinear systems; adaptive practical finite-time control problem; fuzzy approximation; uncertain high-order nonlinear systems
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Funding
- National Science Foundation of China [61473160, 61174033]
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The problem of adaptive practical finite-time control is considered for a class of single-input and single-output non-linear systems, in which the system non-linear 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. In the control design procedure, fuzzy logic systems are employed to identify the non-linear uncertainties. The stability analysis of the adaptive closed-loop systems is proposed based on the finite-time Lyapunov stability theory. The proposed adaptive fuzzy controller guarantees that all the closed signals are semi-global practical finite-time stability while the tracking error converges to a small neighbourhood of the origin. Finally, simulation results are presented to validate the effectiveness of our results.
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