具有未知协方差噪声的随机非线性系统的固定时间控制  

Fixed-time control for stochastic nonlinear systems with unknown covariance noise

作　　者：闵惠芳 魏志成 Min Huifang;Wei Zhicheng(School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]南京理工大学自动化学院,江苏南京210094

出　　处：《南京理工大学学报》2024年第5期537-546,共10页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(62203221);江苏省自然科学基金(BK20220943);中央高校基本科研业务费专项资金(30922010315)。

摘　　要：该文针对具有协方差噪声的随机非线性系统研究其固定时间控制问题,旨在使其更快地收敛至平衡状态。首先,该文给出了一个关于期望收敛时间上界估计的重要推论,该推论能够得到期望收敛时间的最小上界。然后,通过定义自适应参数补偿未知协方差噪声,将加幂积分技术、自适应控制和反步设计方法相结合,构造了一个状态反馈控制器。根据相关固定时间稳定性定理和推论,验证了所设计的控制器可以使闭环系统依概率固定时间稳定。最后,利用一个实际系统仿真来说明所设计控制策略的有效性。This article focuses on the fixed-time control problem of stochastic nonlinear systems with covariance noise,aiming to enable them to converge to equilibrium state more quickly.Firstly,this article provides an important corollary about the estimate of the upper bound of the expected convergence time,which can obtain the minimum upper bound of the expected convergence time.Then,by defining adaptive parameters to compensate for unknown covariance noise,a state feedback controller is constructed by combining the adding one power integrator technique,adaptive control,and backstepping design methods.According to the relevant fixed-time stability theorem and corollary,it is verified that the designed controller can make the closed-loop system fixed-time stable in probability.Finally,an actual system simulation is used to demonstrate the effectiveness of the designed control strategy.

关 键 词：固定时间控制 随机非线性系统 未知协方差噪声 反步法 自适应状态反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]