基于值函数的非线性系统多模型操作空间划分与最优控制一体化研究

项目名称： 基于值函数的非线性系统多模型操作空间划分与最优控制一体化研究

项目编号： No.61273085

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 宋春跃

作者单位： 浙江大学

项目金额： 80万元

中文摘要： 多模型方法是解决非线性控制问题的有效途径之一, 对多模型方法的研究具有重要的理论意义和应用价值. 本课题针对非线性动态系统, 把多模型方法下操作空间的划分和最优控制耦合在一起, 进行一体化的研究, 旨在提高非线性系统的整体控制性能, 完善多模型控制方法.首先根据多模型结构固有的混杂特性, 采用混杂模型框架对多模型进行合成, 建立统一的优化控制命题; 然后根据混杂系统最优控制理论, 在最优切换条件下依值函数来划分操作空间, 并采用联立法对相应的有限时域优化控制命题进行数值求解; 进而, 采用预测控制来降低联立求解下模型失配所带来的不利影响, 以进一步提高系统整体控制性能. 最后, 在操作空间划分和最优控制一体化结构下, 对所得闭环控制系统的控制品质及稳定性等进行分析, 并基于实验室已有的注塑机装置进行测试和验证, 从而建立起系统性的非线性系统多模型方法操作空间划分和最优控制一体化的理论体系.

中文关键词： 非线性系统；多模型方法；操作空间划分；最优控制；值函数

英文摘要： Multi-model approach is an ideal candidate for dealing with nonlinear dynamical processes with wide operating ranges and large set-point changes, and has attracted much attention in the past years. It is indicated that doing investigation of multi-model approach has not only a practical application prospect for the nonlinear systems control and similar problems, but also has theoretical significance. This project aims to provide a systematic methodology of partitioning operating range and integrated optimal control in multi-model approach for nonlinear systems based on evaluating of value function, which will improve the overall control performance of nonlinear systems and the theory about multi-model approach. According to the hybrid character of multi-model based systems, a hybrid model framework will be adopted to synthesize the multi linear subsystems which produced by nonlinear systems, and associated optimal control problem will be established. This will allow for the optimal control problem to apply the optimal principle of hybrid systems, and the operating range can be partitioned by evaluating the associated value function corresponding to the optimality conditions. As a result, given the optimal partition of operation range, the numerical solution to optimal control for the optimal control problem ov

英文关键词： Nonlinear Systems；Multi-model Approach；Partition of Operating Range；Optimal Control；Value Function