An adaptive finite-time decentralized control algorithm for a class of large-scale stochastic nonlinear systems is presented. The fuzzy logic system is used to estimate uncertain nonlinearities. One advantage of the developed scheme is that each subsystem only needs to update one adaptive parameter, which alleviates the burden of online estimation. The dynamic surface control method is employed to reduce the “complexity explosion” caused by the repetitive derivation of the intermediate variable function in the backstepping control scheme. A new decentralized controller is designed so that all signals of the controlled system are bounded and the tracking error converges to a small residual set around the origin within a finite time. The simulation results of a numerical example illustrate the effectiveness of the method.

中文翻译：

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大规模随机非线性系统的自适应模糊有限时间分散控制

提出了一种用于一类大规模随机非线性系统的自适应有限时间分散控制算法。模糊逻辑系统用于估计不确定的非线性。所开发方案的优点之一是每个子系统只需要更新一个自适应参数，减轻了在线估计的负担。采用动态曲面控制方法来减少反步控制方案中中间变量函数重复推导导致的“复杂度爆炸”。设计了一种新的分散控制器，使得受控系统的所有信号都是有界的，并且跟踪误差在有限时间内收敛到原点周围的一个小的残差集。数值算例的仿真结果说明了该方法的有效性。