【作者】 刘红霞；

【导师】 朱学峰； 胥布工；

【作者基本信息】 华南理工大学 ， 控制理论与控制工程， 2001， 博士

【摘要】 实际工程中的许多问题，例如工业过程控制，电力系统，数值通讯网络等，都与复杂的关联大系统的控制问题有关，另一方面，时滞现象普遍存在，且往往是造成系统品质恶化甚至不稳定的原因，因此，研究时滞系统和时滞大系统的稳定和控制问题具有重要的理论意义和实用价值。 本文将以时滞系统和时滞大系统为研究对象，分别研究了关联时滞大系统的分散控制，分散H_∞控制，分散鲁棒H_∞控制，分散保代价控制，分散容错控制以及时滞系统的模糊控制和区间极点配置等。主要的研究工作如下： 1 采用线性矩阵不等式方法，研究了关联时滞大系统的状态反馈和基于状态观测器的分散反馈控制问题，给出了使系统渐近稳定的控制器存在的充分条件，该条件以线性矩阵不等式的形式给出。 2 采用线性矩阵不等式方法，研究了关联时滞大系统的分散H_∞状态反馈，静态输出反馈，动态输出反馈和基于观测器的反馈控制问题，得到了使系统渐近稳定和具有H_∞性能指标的控制器存在的充分条件。 3 采用线性矩阵不等式方法，对不确定关联时滞大系统的状态反馈和动态输出反馈的H_∞鲁棒控制问题进行了研究，给出了使系统渐近稳定且具有H_∞性能指标的控制器设计方法。 4 采用线性矩阵不等式方法，对不确定关联时滞大系统的保代价控制问题进行了研究，给出了系统保代价控制器的设计方案。 5 采用线性矩阵不等式方法，研究了关联时滞大系统及不确定关联时滞大系统的容错控制，给出的控制器即使在规定范围内的一部分执行器或传感器失效时，仍能使系统渐近稳定。 6 基于T-S模糊模型，研究了非线性时滞系统的模糊稳定化控制器和模糊H_∞控制器的设计问题，给出了模糊鲁棒控制器和模糊H_∞控制器的设计方法，该方法以线性矩阵不等式的形式给出。 7 采用频域技术，研究了状态具有多个滞后的时滞系统的α区间极点配置问题，给出了α-镇定控制器存在的充分条件。 最后，在总结全文的基础上，指出了有待进一步研究的若干问题。更多还原

【Abstract】 There are a large number of large-scale interconnected systems in the practical engineering systems, for example, industrial process control, power system, digital communication networks and so on. On the other hand, it is well known that time delays are often encountered in various engineering systems, and frequently the existence of time delays is a source of unsatisfactory control system performance and instability. Therefore, to investigate the stability and control for time-delay systems and large-scale interconnected time-delay systems is of importance in control theory and its application.This dissertation focuses on control problems of time delay systems and large-scale interconnected time-delay systems, which covers the problems of decentralized control and decentralized robust control, H_∞ control, guaranteed cost control, fault-tolerant control, fuzzy control and α-control, and so on. The main research work is as follows:1 Decentralized control procedures for the linear large-scale interconnected time-delay systems by the state feedback and observer-based feedback are presented respectively. Sufficient conditions for the existence of decentralized state feedback and observer-based controllers, which can guarantee asymptotically stable of the large-scale interconnected time-delay systems, are derived via linear matrix inequality (LMI) approach.2 Decentralized H_∞ control for the linear large-scale interconnected time-delay systems is discussed by the state feedback, static-output feedback, dynamic-output feedback and observer-based feedback. Sufficient conditions for the existence of H_∞ controllers are established using LMI approach.3 Decentralized robust H_∞ control for the linear large-scale interconnected time-delay systems is developed by the state-feedback and dynamic-output feedback. The resulting controllers guarantee closed-loop systems asymptotic stability and H_∞ -norm bound on disturbance attenuation.4 The guaranteed cost control problem is studied for the linear uncertain large-scale interconnected time-delay systems. Methods of designing optimal guaranteed cost controllers are given.5 The problem of fault-tolerant control for the linear large-scale interconnected time-delay systems is considered. The controllers obtained can provide guaranteed更多还原