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Approximation-based adaptive fuzzy control for a class of non-strict-feedback stochastic nonlinear systems. (English) Zbl 1336.93097

Summary: This paper considers the problem of adaptive fuzzy control of a class of single-input/single-output (SISO) nonlinear stochastic systems in non-strict-feedback form. Fuzzy logic systems are used to approximate the uncertain nonlinearities and backstepping technique is utilized to construct an adaptive fuzzy controller. The proposed controller guarantees that all the signals in the resulting closed-loop system are bounded in probability. The main contribution of this note lies in providing a control strategy for a class of nonlinear systems in nonstrict-feedback form. Simulation result is used to test the effectiveness of the suggested approach.

MSC:

93C42 Fuzzy control/observation systems
93C40 Adaptive control/observation systems
93E03 Stochastic systems in control theory (general)
93C10 Nonlinear systems in control theory
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