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讨论了一类不确定随机时滞系统的鲁棒L2-L∞降维滤波器设计问题。目的是设计一个比原系统维数低的确定维数的稳定线性滤波器,使得滤波误差动态系统是随机渐近稳定的且满足给定的L2-L∞性能要求γ。给出了解决这个问题的充分条件,并以参数显式化的形式给出了所求的鲁棒L2-L∞降维滤波器,所有这些结果都只利用了原始系统的矩阵而没有分解,这就使得设计过程简便,直接。
The problem of robust L2-L∞ dimensionality reduction filter design for a class of uncertain stochastic systems with time-delay is discussed. The purpose is to design a stable linear filter with a fixed dimension lower than the original system dimension so that the filtering error dynamic system is stochastically asymptotically stable and satisfies the given L2-L∞ performance requirement γ. The sufficient conditions for solving this problem are given and the robust L2-L∞ dimension reduction filter is given in the form of parameter explicit. All of these results use only the matrix of the original system without decomposition. This makes the design process simple and direct.