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本文作者设计的一类具指数收敛速度的自适应状态观测器进行了抗干扰能力的分析。首先,简单地介绍了“参数化了的观测器”的结构以及有关参数估计的指数收敛性的基本结论;然后,证明了当输入信号充分丰富、且输出噪声充分小时,观测器对状态和输出的估计误差对噪声分别具有 BIBS 和 BIBO 稳定性;并且还指出了这个结论在频率域上的意义。
The authors design a class of adaptive state observer with exponential convergence rate for anti-jamming capability analysis. First of all, we briefly introduce the structure of “parameterized observer” and the basic conclusion about the exponential convergence of parameter estimation. Then, we prove that when the input signal is sufficiently rich and the output noise is sufficiently small, the observer compares the state and output The estimation error has BIBS and BIBO stability respectively for noise; and also points out the significance of this conclusion in the frequency domain.