一类含有时滞的高阶随机非线性系统的状态反馈镇定  

State Feedback Stabilization for a Class of High-order Stochastic Nonlinear Systems with Time-varying Delay

作　　者：郑时[1] 王天成[1] ZHENG Shi WANG Tiancheng(School of Mathematics and Statistics Science, Ludong University ,Yantai 264039, Chin)

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）》2017年第3期200-205,217,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371226)

摘　　要：利用随机系统的反推设计方法,研究了一类高阶随机时变时滞非线性系统的状态反馈镇定问题.根据随机系统的稳定性定理,采用Lyapunov泛函设计了一个状态反馈控制器,该状态反馈控制器使得整个闭环系统的平衡点是依概率全局渐近稳定的.本文研究的具有不同阶数的随机高阶非线性系统是以往结果的一个推广,仿真示例验证了所设计状态反馈控制器的可行性和有效性.By using backstepping technique of stochastic system, the state feedback stabilization for a class of high order stochastic time-varying nonlinear systems with time varying delay was studied. According to the probability stability theorem of stochastic systems, a state feedback controller was designed by using the Lyapunov functional, which makes the equilibrium point of the whole closed-loop system satisfy globally asymptotically stable in probability. This assessment focuses on the more general stochastic high-order nonlinear systems with different orders. The simulation result verifies the feasibility and effectiveness of the designed state feedback controller.

关 键 词：时变时滞 高阶随机非线性系统 状态反馈 LYAPUNOV泛函 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]