AIS: Nonlinear Statistical Control Using Neural Networks

摘要本研究的目的是为太阳能传输中的随机最优控制提供新的基本理论和算法。该方法基于一种新颖的统计控制方法，并结合了成本累积量和神经网络。在统计控制中，人们将绩效指标视为一个随机变量，并塑造绩效指标的分布。通过对性能指标的塑造，实现更精确的控制性能。知识价值。提出了一种新的性能成形最优控制范式。这将为一般非线性随机系统的最优控制研究开辟一个新的方向。本课题提出利用人工神经网络来解决非线性最优控制问题。非线性统计控制将允许高性能控制器用于各种应用。这种变革性的最优控制理论应用于空间太阳能收集的高社会影响应用。统计控制将显著提高太阳能的传输性能。更广泛的影响。本课题将推进最优随机控制的基础知识。将一种新的最优控制方法应用于空间太阳能传输应用中，可以实现更精确的能量传输，从而实现更经济的能量采集。该研究将通过解决天线指向控制问题，实现高效的空间太阳能传输。空间太阳能收集是一个具有国家战略意义的问题。此外，通过该项目和航天器系统工程课程，代表性不足的群体的学生将接受有关工程和最新研究的教育。

AbstractThe objective of this research is to discover new fundamental theories and algorithms for stochastic optimal control with application in solar energy transmission. The approach is based on novel statistical control with cost cumulants and neural networks. In statistical control, one views the performance index as a random variable and shapes the distribution of the performance index. By shaping the performance index, more accurate control performance is achieved.Intellectual Merit. A new optimal control paradigm of performance shaping is proposed. This paradigm will lead to a new direction of research in optimal control for the general nonlinear stochastic systems. By using artificial neural networks, this project proposes to solve the nonlinear optimal control problems. Nonlinear statistical control will allow high performance controllers for various applications. This transformative optimal control theory is applied to a high societal impact application of space solar power harvesting. Statistical control will significantly improve the solar power transmission performance.Broader Impacts. This project will advance the fundamental knowledge in optimal stochastic control. By applying a new optimal control method to the space solar power transmission application, the energy will be transmitted more accurately, which means that the energy is harvested more economically. This research will allow efficient space solar energy transmission by addressing the antenna pointing control problem. Space solar energy harvesting is an issue of national strategic importance. Furthermore, through this project and spacecraft systems engineering course, students of underrepresented groups will be educated about engineering and state-of-the-art research.