Impulse Control of Nonlinear Systems With Uncertainties Using Neural Networks

使用神经网络对具有不确定性的非线性系统进行脉冲控制

• 批准号: 0601706
• 负责人: Sivasubramanya Balakrishnan
• 金额: $ 24万
• 依托单位: Missouri University of Science and Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-05-01 至 2013-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0601706&HistoricalAwards=false
• 关键词: Impulse; Control; Nonlinear; Systems; Uncertainties

Balakrishnan The objective of this research is to develop optimal impulse controllers for nonlinear systems with uncertainties. The approach proposed is based on approximate dynamic programming. Dual neural network architectures will be used to solve the equations resulting from an optimal impulse control formulation.Intellectual merit of this research lies in realizing unified controller solutions to optimal impulse control problems that are important, yet difficult to solve. Outcome of this research is expected to advance the field of control in the area of impulse control. Furthermore, expected results from the proposed work will advance the state of the art in the field of neural networks since these investigations are based on new approximate dynamic programming formulations with neural network based solution structures. Broader impact of this research will be in the applications areas. Systems with uncertainties in dynamics where control inputs occur on very short time scales with respect to the systems response time are pervasive and valuable. This class of systems characterizes dynamics of epidemics, insect control, inventory control, exchange rates, interest rates etc. Optimal solutions to such problems could lead to large improvements in cost savings and offer solutions in some health care areas and quality of life improvements. Outreach activities planned in this proposal include using women and minorities and disseminating results through non-engineering collaborators in the medical areas. The project results will be discussed through demonstrations to the area high schools in order to create early career interest in science and engineering.

Balakrishnan 这项研究的目标是为具有不确定性的非线性系统开发最优脉冲控制器。所提出的方法基于近似动态规划。双神经网络架构将用于求解最优脉冲控制公式产生的方程。这项研究的智力价值在于实现重要但难以解决的最优脉冲控制问题的统一控制器解决方案。这项研究的成果预计将推动脉冲控制领域的控制领域的发展。此外，所提出的工作的预期结果将推进神经网络领域的最新技术，因为这些研究基于新的近似动态规划公式和基于神经网络的解决方案结构。这项研究的更广泛影响将体现在应用领域。具有动态不确定性的系统（其中控制输入发生在相对于系统响应时间而言非常短的时间范围内）是普遍且有价值的。此类系统的特点是流行病动态、昆虫控制、库存控制、汇率、利率等。此类问题的最佳解决方案可能会大大节省成本，并为某些医疗保健领域提供解决方案并改善生活质量。该提案中计划的外展活动包括利用妇女和少数族裔以及通过医疗领域的非工程合作者传播结果。该项目的结果将通过向当地高中演示的方式进行讨论，以培养早期对科学和工程的职业兴趣。