基于Razumikhin方法的随机时变时滞非线性系统的状态反馈  

State feedback of stochastic nonlinear systems with time-varying delay base on Razumikhin-type approach

作　　者：王天成[1] 李刚[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264025

出　　处：《控制与决策》2015年第8期1519-1522,共4页Control and Decision

基　　金：国家自然科学基金项目(11371226);山东省自然科学基金项目(ZR2012FL15);山东省优秀中青年科学家科研奖励基金项目(BS2013DX001)

摘　　要：采用Razumikhin方法研究一类随机时变时滞非线性系统的状态反馈镇定问题.利用随机系统的RazumikhinMao理论和反推设计方法,设计系统的状态反馈控制器,所设计的控制器能保证闭环系统的平衡点为依概率全局渐近稳定的.所提出的方法能够彻底地去掉关于随机时变时滞非线性系统传统结果中所要求的时滞导数的限制.仿真示例验证了所提出状态反馈控制器的有效性.The Razumikhin-type approach is introduced to solve the state feedback stabilization problem for a class of stochastic nonlinear systems with time-varying delay. Based on the Razumikhin-Mao theorem on stochastic systems and the backstepping design method, a state feedback controller is constructed to ensure the origin of closed-loop system globally asymptotically stable in probability. The limitations on the derivative of delay can be completely removed, which is the common assumption of stochastic nonlinear systems with time-varying delay. A simulation example is given to illustrate the effectiveness of the state feedback controller.

关 键 词：时变时滞 随机非线性系统 Razumikhin定理 状态反馈 镇定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]