导　　师： 杨冬梅

学科专业： 070105

授予学位： 硕士

作　　者： ;

机构地区： 东北大学

摘　　要： 大系统是一种具有特殊结构的互联系统.由于带有不确定性/(系统运行环境的变化、测量误差、模型近似化等所致/)的非线性大系统更能描述客观系统,因此,对带有不确定性的非线性关联大系统的研究尤为重要.本文主要研究了非线性关联大系统的分散控制问题.其主要内容如下： /(1/)介绍了本文研究工作的相关背景及发展情况.首先,概括了复杂大系统、广义系统理论及发展概况；其次,介绍了不确定非线性关联大系统和不确定非线性广义关联大系统的相关课题的研究现状及存在问题；最后,介绍了本文的主要工作. /(2/)介绍了与本文相关的预备知识. /(3/)研究了不确定非线性关联大系统的分散鲁棒控制问题.利用Lyapunov函数和线性矩阵不等式/(LMI/)方法,对系统的稳定性进行了分析,得出了鲁棒稳定的充分条件,并给出了分散鲁棒控制器的设计方法.最后,给出了数值算例来说明所得结论的有效性. /(4/)研究了不确定非线性广义关联大系统的分散鲁棒控制问题.在假设标称系统是能稳且脉冲能控的条件下,利用广义Lyapunov函数和线性矩阵不等式/(LMI/)方法,给出了判断鲁棒稳定性的条件以及分散鲁棒控制器的设计方法,使得闭环系统渐近稳定.最后,给出了数值算例来说明所得结论的有效性. Large-scale systems have special interconnect structure./(the changes of the system operating environment, measurement error, model fitting, and so caused/)of nonlinear large-scale system with uncertainties can describe the objective systems in more generally, therefore, nonlinear interconnected large-scale systems with uncertainties research are particularly important. Decentralized control problems of nonlinear interconnected systems are studied in this article. The main contents are as follows: /(1/) Backgrounds and development of the article are introduced. First, the theory and development of the complex systems and general systems are outlined; then the research situation and existing problems of the subject which is related to nonlinear interconnected large-scale systems with uncertainties and generalized systems are introduced and the development and research are introduced; finally, the main works of this article are outlined. /(2/) The knowledge for preparation in this paper is presented. /(3/) The decentralized robust control problems of nonlinear interconnected large-scale systems with uncertainties have been studied. Through Lyapunov function and linear matrix inequality /(LMI/) technology, we analyze the stability of the system, a sufficient condition for robust stability and decentralized robust controller are obtained. At last, numerical example is given to illustrate the validity of the results. /(4/) The decentralized robust control problems of nonlinear interconnected large-scale descriptor systems with uncertainties have been studied. When under the assumption of the system is stable and impulse controllable, using generalized Lyapunov function and linear matrix inequality /(LMI/) technology, we give a judgment for the conditions of robust stability, and the decentralized robust controller which makes the closed-loop system asymptotically stable. At last, numerical example is given to illustrate the validity of the results.

关 键 词： 非线性 关联大系统 分散控制 稳定性 广义系统

领　　域： [自动化与计算机技术] [自动化与计算机技术]