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基于扰动观测器的时滞系统可靠输出控制分析

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针对一类具有外部扰动和不确定性的时滞系统,在考虑到执行器故障和系统状态不可知的情况下,构造了基于输出反馈的扰动观测器和扰动补偿控制器.随后通过Lyapunov第二法判断系统稳定性,以线性矩阵不等式的形式给出系统渐近稳定的充分条件,同时运用费舍尔引理来处理控制器综合的耦合问题.最后通过数值仿真实验,验证了基于扰动观测器的控制方法对扰动抑制的有效性,并通过对比,当系统存在执行器故障时,容错控制方法比没有考虑执行器故障的控制算法对维持系统稳定、提高系统性能更加有效.
The Actuator Failure and Feedback Control for Time-varying Delays Systems Based on a Disturbance Observer
For a class of time-delay systems with external disturbances and uncertainties,a disturbance observer based on output feedback and a disturbance compensation controller are constructed when the actuator failure happens and the system state are unknowable.Then,the stability of the system is judged by the Lyapunov second method.The sufficient conditions for the asymptotic stability of the system are given in the form of linear matrix inequalities.At the same time,the Finsler lemma is used to deal with the coupling problem of the controller synthesize.Finally,through the numerical simula-tion experiments,the effectiveness of the disturbance rejection control method based on disturbance ob-server is verified.Further,the fault tolerant control is more reliable than the control algorithm which does not consider the actuator failure to maintain the system and improve the performance of the sys-tem.

disturbance observertime delay systemMarkov systemlinear matrix inequalit

高来鑫、李玲纯

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滁州学院机械与电气工程学院(安徽滁州239000)

扰动观测器 时滞系统 Markov系统 线性矩阵不等式

2024

滁州学院学报
滁州学院

滁州学院学报

影响因子:0.235
ISSN:1673-1794
年,卷(期):2024.26(5)