This paper studies the adaptive distributed unknown input observer (ADUIO) for linear systems with local outputs, which contains a group of local observers under directed graph. The difficulty is the adaptive estimation of global output for the systems with unknown inputs. To solve the problem, disturbance decoupling principle and leader-following consensus strategy are integrated to estimate local outputs of other observers, which can be accumulated to recover the global outputs. Based on the estimated global outputs, an ADUIO is constructed to estimate the full state which avoids using local output matrices of other observers and global information of the graph. Different from the extensive joint detectability assumption in existing results, a detectability assumption is given to make the estimation errors converge to zero asymptotically.

中文翻译：

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线性系统的自适应分布式未知输入观测器


本文研究了具有局部输出的线性系统的自适应分布式未知输入观测器 （ADUIO），其中包含有向图下的一组局部观测器。难点在于对具有未知输入的系统的全球输出的自适应估计。为了解决这一问题，该文将干扰解耦原理和领导者跟随共识策略相结合，估计其他观测者的局部输出，并积累起来恢复全局输出。根据估计的全局输出，构建 ADUIO 来估计完整状态，从而避免使用其他观察者的局部输出矩阵和图的全局信息。与现有结果中广泛的联合可检测性假设不同，给出了一个可检测性假设，使估计误差渐近收敛为零。