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研究Delta算子不确定系统在稳态估计误差方差约束下的鲁棒H∞ 滤波问题 .目的是设计滤波器 ,使得系统在状态矩阵和输出矩阵均存在不确定性时 ,滤波过程是渐近稳定的 ,每个状态的稳态估计误差的方差不大于事先给定值 ,且从噪声输入到误差输出的传递函数满足给定的H∞ 范数约束 .基于矩阵不等式方法 ,提出了滤波器的存在条件和显式表达式 .所得结果可将连续和离散系统的有关结论统一到Delta算子框架 .
The robust H∞ filtering problem of Delta operator uncertain system under the constraint of variance of steady-state estimation error is studied. The purpose of this paper is to design the filter so that the filtering process is asymptotically stable when both the state matrix and the output matrix have uncertainties , The variance of the steady-state estimation error of each state is not greater than the given value, and the transfer function from the noise input to the error output satisfies the given H∞ norm constraint.Based on the matrix inequality method, the existence of the filter Conditions and Explicit Expressions The results obtained unite the relevant conclusions of continuous and discrete systems into the Delta operator framework.