CAREER: Unified Optimal Control and Estimation of Nonlinear Dynamic Systems with Closed-Form Solutions

职业：具有闭式解的非线性动态系统的统一最优控制和估计

• 批准号: 0846877
• 负责人: Thomas Lacy
• 金额: $ 40万
• 依托单位: Mississippi State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2014-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0846877&HistoricalAwards=false
• 关键词: CAREER; Unified; Optimal; Control; Estimation

"This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5)"Proposal Number: ECCS-0846877Proposal Title: Unified Optimal Control and Estimation of Nonlinear Dynamic Systems with Closed-Form SolutionsPI Name: Xin, MingPI Institution: Mississippi State UniversityThe objective of this research is to create a unified theoretic framework for optimal control and estimation of nonlinear dynamic systems. The approach is to (1) establish a rigorous theory and efficient algorithms for solving nonlinear optimal control problems with closed-form solutions for a variety of terminal conditions; (2) develop a dual nonlinear estimation technique using a unified methodology derived from the control algorithm; (3) systematically integrate the control and estimation algorithms and validate them through simulation studies and experiments. Intellectual Merit: The novel theory will provide new perspectives and tools to solve the traditionally difficult nonlinear optimal control and estimation problems. The unified approach will give simpler closed-form solutions and overcome the computational barriers. More importantly, the new results will expand the optimal control application horizon significantly since most real systems have nonlinear dynamics.Broader Impacts: The success of this research represents a breakthrough in optimization of a wide variety of complex dynamic systems, which will have a profound impact on many aspects of the economy and society. The novel research results will provide the state-of-the-art content for new courses, research topics, as well as hands-on learning opportunities for undergraduate and graduate students. The educational impact can be maximized by involving students in integrating the new techniques into the flight control research of unmanned air vehicles and micro-satellite project at the Mississippi State University. The dissemination of this new technique through the university?s unique outreach program will have a great impact on attracting local high school and minority students' enthusiasm in engineering.

"This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5)"Proposal Number: ECCS-0846877Proposal Title: Unified Optimal Control and Estimation of Nonlinear Dynamic Systems with Closed-Form SolutionsPI Name: Xin, MingPI Institution: Mississippi State UniversityThe objective of this research is to create a unified theoretic framework for optimal control and estimation of nonlinear dynamic系统。该方法是（1）建立一种严格的理论和有效算法，用于在各种终端条件下用封闭式溶液解决非线性最佳控制问题； （2）使用从控制算法得出的统一方法开发双重非线性估计技术； （3）系统地整合控制和估计算法并通过模拟研究和实验验证它们。智力优点：新颖的理论将提供新的观点和工具来解决传统上困难的非线性最佳控制和估计问题。统一方法将提供更简单的封闭式解决方案并克服计算障碍。更重要的是，由于大多数真实系统具有非线性动力学，新结果将大大扩展最佳控制应用范围。Boader的影响：这项研究的成功代表了优化各种复杂动态系统的突破，这将对经济和社会的许多方面产生深远的影响。新颖的研究结果将为新课程，研究主题以及本科生和研究生的动手学习机会提供最新的内容。通过让学生将新技术集成到密西西比州立大学无人驾驶汽车和微观卫星项目的飞行控制研究中，可以使教育影响最大化。通过大学独特的外展计划传播这项新技术将对吸引当地高中和少数族裔学生在工程上的热情产生重大影响。