Globally asymptotic stabilization of stochastic nonlinear systems in strict-feedback form
Globally asymptotic stabilization of stochastic nonlinear systems in strict-feedback form
复制标题
严格反馈形式随机非线性系统的全局渐近镇定
DOI：
10.1016/j.jfranklin.2015.08.013
复制
发表时间：
2015
影响因子：
4.1
通讯作者：
Jiang Feng
中科院分区：
文献类型：
--
作者：
Xiong Shuangshuang;朱全新;Jiang Feng
本文研究了一类随机非线性系统的全局渐近镇定问题。在不要求系统系数是光滑函数的条件下，首次尝试应用Backstepping控制设计方法证明严格反馈形式的随机非线性系统的概率全局渐近稳定性。利用一种新的系统设计算法构造了连续控制律。最后，我们提供了一个例子来说明理论结果的有效性。
In this paper, we study the problem of globally asymptotic stabilization for a class of stochastic nonlinear systems. Without requiring the condition that the coefficients are smooth functions, this paper is a first try to apply the backstepping control design method to prove the globally asymptotic stability in probability of stochastic nonlinear systems in strict-feedback form. A continuous control law is constructed by a novel systematic design algorithm. Finally, we provide an example to show the effectiveness of the theoretical results.