%0 Journal Article
%T Fuzzy adaptive finite-time control design for nontriangular stochastic nonlinear systems
%A Sui S.
%A Chen C.L.P.
%A Tong S.
%K Multiple-input and multiple-output (MIMO) stochastic nonlinear systems
%K nontriangular form
%K state filter
%K stochastically finite-time control
%X This paper solves the stochastically finite-time control problem for uncertain stochastic nonlinear systems in nontriangular form. The considered controlled plants are different from the previous results of finite-time control systems, which are the multiple-input and multiple-output (MIMO) stochastic systems with the unknown functions consisting of all states, stochastic disturbance, and immeasurable states. Fuzzy logic systems and a state filter are used to model the uncertain systems and estimate the immeasurable states, respectively. Based on the finite-time theory and It o differential equation, a novel stochastically finite-time stability theorem is first raised. By combining the novel criterion and backstepping technique, an adaptive fuzzy stochastically finite-time control method is proposed. It is testified that all signals in the closed-loop signals are semiglobal finite-time stable in probability, and the tracking performances are well. Simulation example results further show the effectiveness of the proposed approach.
%8 2019
%D 2019
%J IEEE Transactions on Fuzzy Systems
%P 172-184
%V 27
%@ 10636706
%U http://repository.um.edu.mo/handle/10692/11195
%W UM