精品文档---下载后可任意编辑摄动 Lyapunov/Riccati 矩阵方程解矩阵的估量的开题报告摘要：本文考虑了摄动 Lyapunov/Riccati 矩阵方程解矩阵的估量问题。在控制理论中，Lyapunov/Riccati 方程的求解是一类常见的问题。然而，当系统受到某些外部因素的影响时，这些方程的解可能会发生变化。因此，我们需要讨论如何估量这些变化，以便更好地控制系统。具体来说，本文将讨论如何通过数据来估量解矩阵的变化。我们将考虑两种不同的方法：一种是基于卡尔曼滤波器的方法，另一种是基于扰动理论的方法。我们将分析这两种方法的优点和缺点，并根据实际应用的需求选择最合适的方法。关键词：Lyapunov/Riccati 方程；摄动；卡尔曼滤波器；扰动。Abstract：This paper considers the problem of estimating the solution matrix of perturbed Lyapunov/Riccati matrix equations. In control theory, solving Lyapunov/Riccati equations is a common problem. However, when the system is influenced by some external factors, the solutions of these equations may change. Therefore, we need to study how to estimate these changes in order to better control the system.Specifically, we will study how to estimate the changes in the solution matrix through data. We will consider two different methods: one based on the Kalman filter and the other based on perturbation theory. We will analyze the advantages and disadvantages of these two methods and choose the most suitable method according to the requirements of practical applications.Keywords: Lyapunov/Riccati equations; perturbation; Kalman filter; perturbation theory.
