Abstract

This paper addresses the global output feedback regulation problem for a class of uncertain feedforward stochastic nonlinear systems. Unlike the previous works, the drift’s growth rate depends not only on an unknown constant but also on an output polynomial function and an input function. Moreover, the diffusion’s growth rate depends on an unknown constant or an output polynomial function and an input function. By using the general stochastic convergence theorem, an output controller is constructed to guarantee the boundedness and stochastic convergence of the resulting closed-loop system.

中文翻译：

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一类不确定前馈随机非线性系统的自适应输出反馈调节

摘要

本文解决了一类不确定前馈随机非线性系统的全局输出反馈调节问题。与之前的工作不同，漂移的增长率不仅取决于未知常数，还取决于输出多项式函数和输入函数。此外，扩散的增长率取决于未知常数或输出多项式函数和输入函数。通过使用一般随机收敛定理，构造了一个输出控制器来保证所得闭环系统的有界性和随机收敛性。