Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/23732
Title: Adaptive fuzzy control of uncertain stochastic nonlinear systems with unknown dead zone using small-gain approach
Authors: Li, Y
Tong, S
Li, T
Jing, X 
Keywords: Dead-zone
Fuzzy control
Fuzzy logic systems
Stochastic nonlinear system
Stochastic small gain approach
Issue Date: 2013
Publisher: Elsevier Science Bv
Journal: Fuzzy Sets and Systems 
Abstract: This paper considers the adaptive fuzzy robust control problem for a class of single-input and single-output (SISO) stochastic nonlinear systems in strict-feedback form. The systems under study possess unstructured uncertainties, unknown dead-zone, uncertain dynamics and unknown gain functions. In the controller design, fuzzy logic systems are adopted to approximate the unknown functions, and the uncertain nonlinear system is therefore transformed into an uncertain parameterized system with unmodeled dynamics. By combining the backstepping technique with the stochastic small-gain approach, a novel adaptive fuzzy robust control scheme is developed. It is shown that the proposed control approach can guarantee that the closed-loop system is input-state-practically stable (ISpS) in probability, and the output of the system converges to a small neighborhood of the origin by appropriately tuning several design parameters. Simulation results are provided to illustrate the effectiveness of the proposed control approach.
URI: http://hdl.handle.net/10397/23732
ISSN: 0165-0114
DOI: 10.1016/j.fss.2013.02.002
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