基于Razumikhin方法的n阶随机非线性时变时滞系统的输出反馈控制  

Razumikhin-type Approach on Output Feedback Control of n-Order Stochastic Nonlinear Systems with Time-varying Delay

作　　者：尹力 王天成 YIN Li;WANG Tiancheng(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2021年第4期289-297,共9页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371226)。

摘　　要：本文通过引入Razumikhin方法解决具有时变时滞的随机非线性系统的输出反馈依概率全局渐近稳定问题。基于Razumikhin方法和反推设计技术,构造合适的观测器和Lyapunov函数,从而使闭环系统依概率全局渐近稳定。通过本文设计的控制方案,彻底消除了传统结果对时滞导数的限制。最后的仿真实例证明了该方法的有效性。In this paper,Razumikhin method was introduced to solve the output feedback stability problem of stochastic nonlinear systems with time-varying delay.Based on Razumikhin method and Backstepping design technique,an appropriate observer and Lyapunov functions were constructed while eliminating the derivative limitation of time delay,so as to stabilize the output feedback of the closed-loop system.By using the control scheme designed in this paper,the limitation that the derivative of time delay in the traditional results was completely eliminated.Finally,the simulation results showed the effectiveness of the method.

关 键 词：Razumikhin定理 时变时滞 随机系统 输出反馈 非线性系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]