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研究了一类带有中立项和时变时滞信号的非线性切换系统的故障估计问题。通过设计基于观测器的切换故障估计器,将故障估计问题转化为H∞滤波问题。在任意切换信号下,通过选取合适的Lyapunov-Krasovskii泛函,推导并证明了由原系统和估计系统组成的增广系统绝对稳定,同时满足给定的H∞性能指标的时滞相关充分条件。进一步利用锥形补方法给出所设计的估计器参数矩阵的解。最后通过算例验证了所提方法的有效性。
The problem of fault estimation of a class of nonlinear switched systems with neutral term and time-varying time-varying signals is studied. By designing the observer-based switching fault estimator, the problem of fault estimation is transformed into H∞filtering problem. Under arbitrary switching signals, the sufficient and sufficient conditions for the delay-dependent given H∞ performance index to satisfy the given H∞ performance index are deduced and proved by choosing appropriate Lyapunov-Krasovskii functional. The conic complement method is further used to give the solution of the parameter matrix of the estimator. Finally, an example is given to verify the effectiveness of the proposed method.