离散延迟观测系统状态和离散观测模态的混杂随机时滞系统的反馈镇定问题  

Stabilization of nonlinear hybrid systems with time-varying delay by feedback controls based on discrete-time state and mode observations with a state time delay

作　　者：王思敏 陆见秋 毛学荣 WANG Simin;LU Jianqiu;MAO Xuerong(College of Science,Donghua University,Shanghai 201620,China;Department of Mathematics and Statistics,University of Strathclyde,Glasgow G11XT,UK)

机构地区：[1]东华大学理学院,上海201620 [2]思克莱德大学数学与统计系,格拉斯哥G11XT

出　　处：《东华大学学报（自然科学版）》2022年第1期118-126,共9页Journal of Donghua University(Natural Science)

摘　　要：为降低控制成本,同时考虑到现实中的反馈控制信号通常带有延迟,研究了带有马尔可夫切换的非线性连续时间变时滞系统的镇定问题,设计了一种状态和模态离散观测并带有状态延迟的反馈控制器。通过构造有效的Lyapunov泛函,给出了系统在均方意义下H_(∞)稳定、渐近稳定和指数稳定的充分条件,得到含延迟观测时间间隔的上界。最后给出一个数值算例说明所得结论的有效性。In order to reduce the control cost,and taking the time delay into consideration,stabilization of nonlinear stochastic differential equations with Markovian switching and time-varying delay by feedback control based on discrete-time state and mode observations with a time delay is studied.The sufficient stabilization conditions in the sense of mean-square H_(∞),asymptotic and exponential stability is established by constructing an efficient Lyapunov functional.The upper bound of the observation interval with time delay is obtained.At last a numerical example is given to demonstrate the effectiveness of our result.

关 键 词：混杂随机时滞系统 反馈控制镇定性 状态和模态离散观测 LYAPUNOV泛函 H_(∞)稳定 渐近稳定 指数稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]