Robust Hot Swap Design

基于数据驱动的 Koopman 算子的递归神经网络模型线性化,用于纳米定位系统的预测控制研究(Matlab代码实现)内容概要:本文围绕“基于数据驱动的 Koopman 算子的递归神经网络模型线性化,用于纳米定位系统的预测控制研究”展开,提出了一种结合数据驱动方法与Koopman算子理论的递归神经网络(RNN)模型线性化方法,旨在提升纳米定位系统的预测控制精度与动态响应能力。研究通过构建数据驱动的线性化模型,克服了传统非线性系统建模复杂、计算开销大的问题,并在Matlab平台上实现了完整的算法仿真与验证,展示了该方法在高精度定位控制中的有效性与实用性。; 适合人群:具备一定自动化、控制理论或机器学习背景的科研人员与工程技术人员,尤其是从事精密定位、智能控制、非线性系统建模与预测控制相关领域的研究生与研究人员。; 使用场景及目标:①应用于纳米级精密定位系统(如原子力显微镜、半导体制造设备)中的高性能预测控制;②为复杂非线性系统的数据驱动建模与线性化提供新思路;③结合深度学习与经典控制理论,推动智能控制算法的实际落地。; 阅读建议:建议读者结合Matlab代码实现部分,深入理解Koopman算子与RNN结合的建模范式,重点关注数据预处理、模型训练与控制系统集成等关键环节,并可通过替换实际系统数据进行迁移验证,以掌握该方法的核心思想与工程应用技巧。
Robust controller design involves the synthesis of a controller that can handle uncertainties and disturbances in a system. This is typically done by formulating the problem as an optimization problem, where the goal is to find a controller that minimizes a cost function subject to constraints. One approach to robust controller design involves combining prior knowledge with data. Prior knowledge can come from physical laws, engineering principles, or expert knowledge, and can help to constrain the search space for the controller design. Data, on the other hand, can provide information about the behavior of the system under different conditions, and can be used to refine the controller design. The combination of prior knowledge and data can be done in a number of ways, depending on the specific problem and the available information. One common approach is to use a model-based design approach, where a mathematical model of the system is used to design the controller. The model can be based on physical laws, or it can be derived from data using techniques such as system identification. Once a model is available, prior knowledge can be incorporated into the controller design by specifying constraints on the controller parameters or the closed-loop system response. For example, if it is known that the system has a certain level of damping, this can be used to constrain the controller design to ensure that the closed-loop system response satisfies this requirement. Data can be used to refine the controller design by providing information about the uncertainties and disturbances that the system is likely to encounter. This can be done by incorporating data-driven models, such as neural networks or fuzzy logic systems, into the controller design. These models can be trained on data to capture the nonlinearities and uncertainties in the system, and can be used to generate control signals that are robust to these uncertainties. Overall, combining prior knowledge and data is a powerful approach to robust controller design, as it allows the designer to leverage both physical principles and empirical data to design a controller that is robust to uncertainties and disturbances.
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