非线性切换系统在线鲁棒近似优化控制研究

项目名称： 非线性切换系统在线鲁棒近似优化控制研究

项目编号： No.U1504615

项目类型： 联合基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 秦春斌

作者单位： 河南大学

项目金额： 27万元

中文摘要： 切换系统可以描述和分析许多实际的系统，具有广泛的工程应用背景。本项目将研究模型参数未知的非线性切换系统在线鲁棒优化控制问题。拟采用自适应动态规划解决模型参数未知的非线性切换系统鲁棒优化控制的在线求解难题，建立以自适应动态规划为基础的一套新的理论体系，开辟求解非线性切换系统鲁棒优化控制的新途径。研究内容包括：1.在系统状态可测的情况下，研究基于自适应动态规划的模型参数未知的非线性切换系统在线优化控制问题；2.在系统存在未建模动态的情况下，将非线性小增益和输入-状态稳定等非线性理论融入到自适应动态规划中而研究具有未建模动态的非线性切换系统的在线优化控制问题；3.在外界扰动存在的情况下，采用博弈论、H∞控制理论、非线性小增益技术和自适应动态规划相结合的手段而解决含有未建模动态的非线性切换系统的在线鲁棒优化控制的难题；4.将上述理论成果应用到汽车自动变速器换挡切换控制系统中进行应用基础研究。

中文关键词： 自适应动态规划；最优控制；非线性切换系统；未建模动态；鲁棒控制

英文摘要： Switched systems can be described and analyzed in many practical systems, and switched systems have extensive applications in the engineering fields. In this project, we intend to solve the online robust optimal control problem of nonlinear switched systems with unknown system dynamics by using adaptive dynamic programming (ADP). The aim is to solve the robust optimal control problem of nonlinear switched systems with unknown system dynamics in a forward-in-time and online manner, finding a new set of theory and solution scheme based on ADP, and breaking a new path for the robust optimal control of nonlinear switched systems. The main research topics include: 1. When the system state measurements of the nonlinear switched system are available, the online approximate optimal control problem of nonlinear switched systems with unknown system dynamics is studied. 2. When the nonlinear systems exist in unmodeled dynamics, a key strategy is to integrate tools from modern nonlinear control theory, such as the nonlinear small-gain theorem and the input- to-state stability, with the theory of ADP, and to solve online optimal control problem of nonlinear switched systems for the presence of unmodeled dynamics. 3. When the nonlinear systems exist external disturbances, the game theory, H∞ control theory, the nonlinear small-gain control theory and adaptive dynamic programming are used to solve the hard problem of solving the robust optimal control problem of nonlinear switched systems with unmodeled dynamics and external disturbances in a forward-in-time and online manner. 4. The above research results will be applied into the automobile automatic transmission and to research on the application technology.

英文关键词： adaptive dynamic programming;optimal control;nonlinear switched system;unmodeled dynamics;robust control