Abstract
In this article, an adaptive fuzzy control design strategy is presented for p -norm nontriangular stochastic high-order nonlinear systems with asymmetric output constraints and unknown nonlinearities. To prevent the violation of the asymmetric output constraint, a novel barrier Lyapunov function (BLF) is constructed. Then, combining the constructed BLF with adding a power integrator approach, the adaptive fuzzy control algorithm is developed by the backstepping technique. Simultaneously, the rigorous proof displays that the designed controller can ensure that all variables of the closed-loop system are bounded in probability with the achievement of the output constraint. Eventually, the theoretical result is further demonstrated via the simulation results.
Highlights
F OR MANY of the past years, the control problem of stochastic nonlinear systems has always been of concern in control theory
This article addressed the adaptive control problem of a class of p-norm uncertain stochastic nonlinear systems that are in nontriangular form and subjected to asymmetric output constraints
The main contributions of this article focused on constructing a new asymmetric barrier Lyapunov function (BLF) and presenting an adaptive fuzzy control strategy
Summary
F OR MANY of the past years, the control problem of stochastic nonlinear systems has always been of concern in control theory. The research of the stochastic systems with known or linearly parameterized nonlinearities. Manuscript received February 8, 2020; revised April 20, 2020; accepted June 4, 2020. Date of publication June 29, 2020; date of current version February 16, 2022.
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