连续时间T-S模糊系统的非二次局部控制器综合研究

项目名称： 连续时间T-S模糊系统的非二次局部控制器综合研究

项目编号： No.61463001

项目类型： 地区科学基金项目

立项/批准年度： 2015

项目学科： 自动化技术、计算机技术

项目作者： 潘俊涛

作者单位： 北方民族大学

项目金额： 46万元

中文摘要： T-S模糊系统的控制器综合研究具有重要的理论意义和实际应用价值。目前，基于非二次Lyapunov函数的控制器综合方法已广泛应用于离散时间T-S模糊系统，但是其在连续时间T-S模糊系统的应用则显得逊色许多。现有相关文献中鲜有令人满意的研究成果。如何处理隶属度函数的导数以得到易于求解的控制器综合条件是该领域目前亟待解决的难题之一。本项目基于申请人和项目组已有的研究成果，首先对隶属度函数导数的数值结构展开深入地分析，建立可有效克服处理隶属度函数导数难题的局部约束条件，进而以此条件从局部角度探索连续时间T-S模糊系统的非二次控制器综合问题，具体内容包括滤波器综合，观测器综合和输出跟踪控制综合三个部分，随后在这一研究基础上讨论吸引域的最大化问题，最后将研究结果相结合落实到可再生能源发电系统展开应用研究。本项目的研究成果将进一步完善连续时间T-S模糊系统非二次局部控制器综合研究的理论体系。

中文关键词： 连续时间T-S模糊系统；控制器综合；局部控制；非二次Lyapunov函数

英文摘要： The research on the controller synthesis for T-S fuzzy systems possesses important theory significance and practical value. Now the controller synthesis methods based on nonquadratic Lyapunov functions have been widely applied to the discrete-time T-S fuzzy systems, although the results in continuous-time domain have not been as powerful as those in discrete case. There are few satisfactory results existing in the relevant researches. How to deal with the derivative of membership functions(MFs) has become one of the key problems to be solved in the T-S fuzzy control field. This project will endeavor to analyze value structure of the derivative of MFs based on our previous works. Local constraint conditions which can effectively overcome the problem of dealing with derivative of MFs are established in this project. With those local constraint conditions, several controller synthesis problems of continuous-time T-S fuzzy systems, i.e., filter design, observer design, output tracking control, will be discussed via a local approach. Then, the way to maximize the domain of attraction will be introduced based on the obtained research results in this project. Finally, we shall further study the applications of the proposed nonquadraic local controller synthesis methods in renewable energy generation systems on the basis of those theoretical preparations.The results given in this project will further perfect the theory of nonquadratic local controller synthesis for continuous-time T-S fuzzy systems.

英文关键词： Continuous-time T-S Fuzzy Systems;Controller Synthesis;Local Control;Nonquadratic Lyapunov Function