Event‐triggered adaptive decentralized control of stochastic nonlinear systems with strong interconnections and time‐varying full‐state constraints

Abstract

AbstractThis article is dedicated to the problem of event‐triggered adaptive decentralized control for a class of stochastic strong interconnected nonlinear systems subject to unknown gains and time‐varying full‐state constraints. To surmount the effect of the unknown control gains, a novel gain suppressing inequality approach is used. The time‐varying barrier Lyapunov functions (TVBLFs) are taken into account to deal with the design difficulties of time‐varying full‐state constraints, and the event‐triggered control strategy is applied such that the desired controller is constructed to reduce the communication burden. One remarkable feature of the constructed controller is that it is capable of controlling the stochastic systems with strong interconnected nonlinearities arising from the drift terms and diffusion terms. It is shown that all the closed‐loop signals are bounded in probability without the violation of full‐state constraints, and the asymptotic tracking control is achieved. The performance of the suggested control approach is illustrated through the simulation results.