【作者】 闫运平；

【导师】 马跃超；

【作者基本信息】 燕山大学 ， 运筹学与控制论， 2010， 硕士

【摘要】 关联广义系统是一类在电力系统、经济系统、网络系统等诸多方面有着广泛应用背景的动力系统,在最近的二十年里,关联广义系统理论的研究取得了长足进展和发展。论文研究了关联广义系统的鲁棒分散控制问题,文中所研究的系统模型是已有相关文献模型的推广和改进。主要内容如下:首先,简要的介绍了关联广义系统的产生和应用背景、关联广义系统理论的发展、研究概况及关联广义系统鲁棒控制的研究方法。其次,研究了一类带非线性扰动的关联时滞关联广义系统鲁棒分散控制问题。基于Lyapunov稳定理论,通过选取适当的Lyapunov函数,给出了该系统的鲁棒分散控制器的设计方法。接着,针对一类参数不确定的非线性扰动关联时滞广义系统,研究了H∞状态反馈控制器以及无源状态反馈控制器的设计问题。假设其中的不确定性是范数有界的,通过构造改进的Lyapunov泛函,给出了系统二次稳定性、H∞状态反馈控制器和无源状态反馈控制器存在的条件。仅通过求解相应的线性矩阵不等式(Linear matrix inequality, LMI)就可得到相应的H∞状态反馈控制器和无源状态反馈控制器,数值算例及仿真验证了所给算法的有效性。最后,对论文做了总结,同时,对进一步的研究工作进行了展望。更多还原

【Abstract】 The interconnected descriptor system is a kind of dynamics of more general and extensive applied background in power system, economic system, network system and so on. In recently twenty years, it has been developed sufficiently.This dissertation is a problem about the decentralized robust control of the interconnected descriptor systems. The system’s models are more generalized than others existing literatures.First of all, the main background and the recent development are considered for the interconnected descriptor systems. The robust control and the research method for the robust control of the systems are also introduced.Secondly, the problems of the decentralized passive control for the interconnected interconnected time-delay descriptor systems with nonlinear perturbations are investigated. The passive state feedback controllers are designed by selecting some approximate Lyapunov functions.Thirdly, focuses on the interconnected interconnected time-delay descriptor systems with nonlinear perturbations and uncertainty, the research of quadratic stabilization and H∞controller and passive control are studied. Based on the modified Lyapunov functions, under the assumption that the uncertainty is norm-bounded, the existing conditions of quadratic stabilization and H∞state feedback controller are given. The controllers can be obtained by solving the corresponding linear matrix inequality. A numerical example and simulation are presented to illustrate the validity of this approach. At last, the conclusion and perspective are given.更多还原