Fault estimation for time-varying control systems with aperiodic sample

Li Ning, Feng Jian
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Abstract

For a class of linear time-varying system with non-uniform sample, we discrete the system by combination of both norm invariant and step invariant transformation, taking the problem of non-uniform sample transformed into discrete time varying system problem. Based on designed the fault estimator, we construct Lyapunov function, to get the essential condition of the error equation asymptotic stability and the fault estimation adaptive weighting parameter L0, Γ and θ. At last, a numerical example is given to illustrate the effectiveness of the proposed fault estimator by Matlab LMI Toolbox..
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非周期样本时变控制系统的故障估计
对于一类具有非均匀样本的线性时变系统,采用范数不变变换和阶跃不变变换相结合的方法对系统进行离散,将非均匀样本问题转化为离散时变系统问题。在设计故障估计量的基础上,构造Lyapunov函数,得到误差方程渐近稳定的必要条件和故障估计自适应加权参数L0、Γ和θ。最后,通过Matlab LMI工具箱给出了一个算例,验证了所提故障估计器的有效性。
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