高阶随机时变时滞非线性系统的输出反馈  

Output-feedback for Stochastic High-order Nonlinear Systems with Time-varying Delay

作　　者：雒晓霞[1] 王天成[1] 

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）》2016年第3期211-217,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371226)

摘　　要：利用随机系统的稳定性理论,结合Back-stepping设计方法并选择合适的李雅普诺夫函数,研究了一类高阶随机时变时滞非线性系统的输出反馈镇定问题.为系统设计了状态反馈控制器和输出反馈控制器,所设计的光滑输出反馈控制器保证了闭环系统的平衡点为依概率全局渐近稳定的.仿真示例验证了控制方案的有效性.For a class of stochastic high-order nonlinear systems with time-varying delay,the problem of outputfeedback stabilization was investigated. Based on the stochastic nonlinear systems＇ stability theories,by combining with the Back-stepping design technique and choosing an appropriate Lyapunov-Krasoviskii functional,adaptive state feedback controllers and output feedback controllers were constructed for the systems. An outputfeedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.A simulation example provided showed the effectiveness of the designed controller.

关 键 词：时变时滞 高阶随机非线性系统 状态反馈 输出反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]