随机非线性时滞扰动系统的状态反馈控制

State feedback control for a class of stochastic nonlinear systems with time-delay disturbs

考虑了一类具时变时滞扰动的随机非线性系统的状态反馈控制问题。在用Backstepping方法设计控制器的过程中,运用Razumikhin技巧对时滞扰动项进行处理,从而对随机非线性时滞扰动系统成功地设计出了与时滞无关的非线性的状态反馈控制器。并使得在得到的控制律下,闭环系统达到全局有界稳定。最后用例子表明控制器的有效性。

The problem of state feedback control for a class of stochastic nonlinear systems with time-delay disturbs is investigated. In the process of the designing controller by using backstepping method, Razumikhin technique is used to deal with the time-delay disturbs terms, so the delay-independent nonlinear state feedback controller is given. Under the designed controller, the closed loop system is globally bounded stable. The simulation example shows that the controller is efficient.