【作者】 张博；

【导师】 张传义；

【作者基本信息】 哈尔滨工业大学 ， 基础数学， 2009， 硕士

【摘要】 时滞不确定性和执行器饱和在实际控制系统中是普遍存在的。它们的存在使得系统的分析与综合变得复杂和困难,同时也往往是导致系统不稳定和系统性能变差的根源。此外,马尔科夫(Markov)跳变系统是一类特殊的随机系统,它能够描述很多的工程系统,更为真实地反映了系统参数变动。因此,跳变时滞系统的研究具有十分重要的理论意义和实际应用价值。基于Lyapunov稳定性理论,以线性矩阵不等式(LMI)为主要工具,本文讨论跳变时滞系统的鲁棒控制与滤波器设计问题。全文主要研究内容如下:1、针对含有饱和执行器约束的跳变时滞不确定系统研究了鲁棒保性能控制问题。目标是设计控制器,使得对容许的不确定性,闭环系统是鲁棒稳定的,并且满足所提的保性能指标。2、针对含有Markov跳变参数的不确定时滞系统研究了鲁棒保性能滤波问题。目标是设计滤波器,使得对容许的不确定性,滤波误差系统鲁棒稳定的,并且满足所提的保性能指标。文中大部分结果是基于LMI方法的,这种方法的关键在于把控制目标用线性矩阵不等式表示,把控制器参数用线性矩阵不等式的解表示。更多还原

【Abstract】 Time-delay systems and systems with actuator saturation exist quite widely in real control systems. The existence of them makes the system analysis and synthesis become more complicated and difficult. Meanwhile, the existence of them is frequently a source of instability and performance degradation in many dynamic systems. In addition, the Markovian jumping system is a kind of special stochastic system. It can describe many project systems and reflect the existing of the variation of the system parameter. Thus, it is of a great importance in theoretical and practical application to study the robust control for the time-delay systems with Markovin jumping parameters.Based on Lyapunov stability theory, this dissertation devotes on the robust control and filter for time-delay systems with Markovin jumping parameters by LMI. The main work of this dissertation is outlined as follows:1、Robust guaranteed cost control for time-delay systems with actuator saturation and Markovian jumping parameters is proposed. The objective is to design controllers such that for all uncertainties, the resulting closed system is robust stable and satisfies the proposed guaranteed cost performance.2、Robust guaranteed cost filter for time-delay systems with Markovian jumping parameters is proposed. The objective is to design filters such that for all uncertainties, the filtering error system is robust stable and satisfies the proposed guaranteed cost performance.The most results of this dissertation are presented by means of LMIs. The key to this method is to express the control objectives by means of LMIs, and to express the parameters of controllers in terms of the solutions to LMI.更多还原