具有马尔可夫切换的随机高阶非线性系统的输出反馈镇定  

Output Feedback Stabilization for Stochastic High-order Nonlinear Systems with Markovian Switching

作　　者：顾甲保 徐晓宇 王瑞桃 李武全 GU Jiabao;XU Xiaoyu;WANG Ruitao;LI Wuquan(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）》2022年第3期225-231,共7页Journal of Ludong University:Natural Science Edition

基　　金：山东省高等学校“青创科技计划”(2019KJN017)。

摘　　要：本文研究具有马尔可夫切换的随机高阶非线性系统输出反馈镇定问题。首先选取合适的李雅普诺夫函数和观测器,运用Ito和Dynkin公式设计了输出反馈控制器,保证闭环系统有唯一解,并且几乎处处渐近稳定。最后,通过数值仿真说明了控制方案的有效性。The output feedback stabilization problem for stochastic high order nonlinear systems with Markovian switching was studied in this paper.First of all, the appropriate Lyapunov function and observer were selected.Then, the output feedback controller was designed by using Ito and Dynkin formulas, so that the solution of the closed-loop systems could be proved to be almost surely asymptotically stable.Finally, the effectiveness of control design was demonstrated by the numerical simulation.

关 键 词：马尔可夫切换 随机高阶非线性系统 输出反馈 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]