In this paper we are interested in the problem of adaptive state observation of linear time-varying (LTV) systems where the system and the input matrices depend on unknown time-varying parameters. It is assumed that these parameters satisfy some known LTV dynamics, but with unknown initial conditions. Moreover, the state equation is perturbed by an additive signal generated from an exosystem with uncertain constant parameters. Our main contribution is to propose a globally convergent state observer that requires only a weak excitation assumption on the system.

翻译：在本文中,我们对线性时间变化系统(LTV)的适应性状态观测问题感兴趣,因为系统和输入矩阵依赖于未知的时间变化参数,假设这些参数满足一些已知的LTV动态,但初始条件不明。此外,状态方程式受到由具有不确定不变参数的外源系统产生的添加信号的干扰。我们的主要贡献是推荐一位全球趋同国家观察员,只需要对系统作出微弱的引力假设。