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研究一类离散时间Lipschitz非线性时变时滞系统的H∞估计问题.通过状态扩展方法,将时变时滞系统转化为具有时变参数的无时滞系统.结合H∞性能指标和Lipschitz非线性条件,构造不定二次型并建立与Krein空间2估计的联系.运用新息分析方法和Krein空间投影公式,给出了H∞估计器存在的充分条件和基于Riccati方程的估计器递推算法.最后,通过仿真算例验证了所提出算法的有效性.
The problem of H∞ estimation for a class of Lipschitz nonlinear time-varying delay systems with discrete-time is investigated. By means of state-extension method, the time-varying delay system is transformed into a time-delay system with time-varying parameters. Combining H∞ performance index and Lipschitz non- Linear conditions, construct indefinite quadratic form and establish the relationship with Krein space 2 estimation.Using the new interest analysis method and Krein space projection formula, the sufficient conditions for existence of H∞ estimator and the estimator recursion algorithm based on Riccati equation Finally, the simulation results show the effectiveness of the proposed algorithm.