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资助的（公法111-5）”提案编号：ECCS-0846877提案标题：具有闭型解的非线性动态系统的统一最优控制与估计PI姓名：Xin，MingPI机构：密西西比州立大学本研究的目的是建立一个统一的理论框架，最优控制和估计的非线性动态系统该方法是：（1）建立一个严格的理论和有效的算法来解决非线性最优控制问题的各种终端条件的封闭形式的解决方案;（2）开发一个双重的非线性估计技术，使用一个统一的方法，从控制算法;（3）系统地集成控制和估计算法，并通过仿真研究和实验验证它们。智力优势：这一新的理论将为解决传统上难以解决的非线性最优控制和估计问题提供新的视角和工具。统一的方法将给出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，由于大多数真实的系统都具有非线性动力学特性，新的研究成果将大大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着在各种复杂动态系统的优化方面取得了突破，将对经济和社会的许多方面产生深远的影响。新的研究成果将为新课程，研究课题提供最先进的内容，并为本科生和研究生提供动手学习的机会。通过让学生参与将新技术纳入密西西比州立大学的无人驾驶航空器和微型卫星项目的飞行控制研究，可以最大限度地扩大教育影响。通过大学传播这种新技术？的独特推广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巨大影响。

"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.