Abstract

SummaryThis article develops an approximation‐based fuzzy control scheme for nonstrict feedback stochastic nonlinear systems (NFSNS) with time‐varying state constraints. The difficulty in constructing controller is how to conquer the algebraic loop problem caused by nonstrict feedback structure, as well as prevent the state constraints from violating. To dispose the time‐varying state constraints, time‐varying barrier Lyapunov function is incorporated into the backstepping design framework. The lumped uncertainties of NFSNS are approximated by the fuzzy logic systems. By virtue of fuzzy basis function, the algebraic loop problem is effectively handled. Theoretical analysis shows that the predefined state constraints are not violated and all signals of the closed‐loop systems are bounded. Finally, simulation results substantiate the validity of the devised method.

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