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Fault-tolerant Stabilization for Linear System with Time Delay

机译:带时间延迟线性系统的容错稳定

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—In this note, the FTC problem of time-delay systems with the special sensor model of failure is investigated. Firstly, based on Lyapunov stability theorem, through constructing a proper LKF and using integral inequality, the stability condition of the closed-loop system is obtained. Secondly, by using the nonlinear transformation and the cone complementary linearization algorithm, the controller existence condition of time-delay system in terms of LMIs is obtained, which guarantee the asymptotically stable of the closed-loop systems even if the sensor faults occur, and the controller parameters are also given. Finally, an example is given to show the effectiveness of the proposed methods in this paper.
机译:- 在本说明中,研究了具有特殊传感器故障模型的时滞系统的FTC问题。首先,基于Lyapunov稳定性定理,通过构造适当的LKF并使用积分不等式,获得闭环系统的稳定性条件。其次,通过使用非线性变换和锥形互补线性化算法,获得了在LMI方面的时滞系统的控制器存在条件,即使发生传感器故障,也可以保证闭环系统的渐近稳定,而且还给出了控制器参数。最后,给出了一个例子来显示本文所提出的方法的有效性。

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