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

“该奖项是根据2009年美国复苏和再投资法案（公法111-5）资助的”提案编号：eccs -0846877提案标题：非线性动态系统的统一最优控制和估计与封闭形式的解决方案spi名称：Xin， MingPI机构：密西西比州立大学本研究的目的是为非线性动态系统的最优控制和估计创建一个统一的理论框架。方法是(1)建立一个严谨的理论和有效的算法来解决各种终端条件下具有封闭解的非线性最优控制问题；(2)利用从控制算法推导出的统一方法，发展了一种对偶非线性估计技术；(3)系统整合控制和估计算法，并通过仿真研究和实验对其进行验证。知识价值：新理论将为解决传统困难的非线性最优控制和估计问题提供新的视角和工具。统一的方法将提供更简单的封闭形式的解决方案，并克服计算障碍。更重要的是，由于大多数实际系统具有非线性动力学，新结果将显著扩展最优控制的应用范围。更广泛的影响：这项研究的成功代表了在优化各种复杂动态系统方面的突破，这将对经济和社会的许多方面产生深远的影响。这些新颖的研究成果将为新的课程、研究课题提供最先进的内容，并为本科生和研究生提供实践学习的机会。通过让学生将新技术整合到密西西比州立大学无人飞行器和微型卫星项目的飞行控制研究中，可以最大限度地发挥教育影响。这项新技术在大学里的传播？S独特的外展计划将对吸引当地高中和少数民族学生对工程的热情产生很大的影响。

"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.