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研究一类随机非线性大系统的分散自适应跟踪问题,该类型随机非线性大系统具有标准Wiener噪声扰动,并且可以参数化为严格反馈系统形式.首先通过坐标变换将其转换为参数化的严格反馈随机非线性大系统形式,选取四阶随机控制Lyapunov函数以避免在递推过程中发散;然后利用反步法构造性设计出系统状态反馈分散控制律及参数自适应律,在此分散控制器的作用下,每个局部输出都能够跟踪预先设定的参考信号,同时保证所有闭环信号有界,从而解决了原系统的自适应跟踪问题.
A decentralized adaptive tracking problem for a class of stochastic nonlinear large-scale systems is investigated. This type of stochastic nonlinear large-scale systems have standard Wiener noise perturbations and can be parametrized into a strict feedback system. First, coordinate transformation is used to convert it into a parametric strict Feedback random non-linear large-scale system form, select fourth-order stochastic control Lyapunov function to avoid divergence in the recursion process; and then use the backstepping method to construct the system state feedback decentralized control law and parameter adaptive law, the decentralized controller , Each local output can track the preset reference signal and ensure all the closed-loop signals are bounded, so that the original system adaptive tracking problem can be solved.