Adaptive Fuzzy Control for Nontriangular Stochastic High-Order Nonlinear Systems Subject to Asymmetric Output Constraints

Abstract

In this article, an adaptive fuzzy control design strategy is presented for p-norm nontriangular stochastic highorder 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.

Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol

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T-S Fuzzy Control of Uncertain Fractional-Order Systems with Time Delay

“…In this study, many control methods are proposed to achieve good performance for noninteger-order systems. In addition, the researchers are also working to develop various control methods, such as sliding mode control [16][17][18], pinning control [19,20], adaptive fuzzy control [21,22], PID control [23,24], and backstepping control [25,26], to achieve the effective control. For example, an adaptive sliding mode control for FOS stabilization was studied in [27].…”

Stability of Stochastic Delay Differential Systems With Variable Impulses Due to Logic Choice

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