广义线性Markov跳变系统故障检测-检测技术与自动化装置专业论文.docxVIP

中文摘要近年来，在制造业及其它领域的控制系统中，安全性和可靠性显得越来越重 中文摘要 近年来，在制造业及其它领域的控制系统中，安全性和可靠性显得越来越重 要，这也推动了基于模型的故障检测与故障分离技术的发展。与此同时，广义系 统和线性Markov跳变系统凭借它们强大的建模能力，吸引了众多专家学者的研 究兴趣。本学位论文重点研究连续时间广义线性Markov跳变系统的故障建模和 故障检测问题。主要的研究结果如下： 首先，本文建立了广义线性Markov跳变系统的故障模型，并指出了时域状 态空间描述相对于频域传递函数描述的优势。 其次，在引入了正则性、无脉冲性、随机稳定性等基本定义之后，本文提出 并证明了广义线性Markov跳变系统的广义有界实引理及其推论。并将故障检测 系统对鲁棒性和敏感性的性能要求量化为两个工2导出增益约束。在上述基础之 上，推导出一个使满足要求的故障检测滤波器存在的充分条件，进而得出了求解 滤波器参数的迭代线性矩阵不等式算法。此外，还给出了故障检测系统的残差评 估方法， 再次，进一步考虑广义线性Markov跳变系统故障检测的鲁棒性问题。本文 讨论了现代控制系统中普遍存在的不确定现象和时滞现象，并给出了本文中时变 型参数不确定性和时变型状态时滞所满足的假设条件。而后，证明了用于系统鲁 棒性分析和敏感性分析的两个预备定理，并依次给出了满足要求的鲁棒故障检测 滤波器存在的充分条件、求解滤波器参数的迭代线性矩阵不等式算法以及自适应 的残差评估策略。 最后，对应的仿真实例表明了上述方法的适用性和有效性。 关键词：故障检测线性Markov跳变系统广义系统线性矩阵不等式时滞系 统不确定系统 ABSTRACTRecently,increasing ABSTRACT Recently,increasing emphasis on safly and reliability has been witnessed in manufacturing and control systems，which has also given a decisive impulse for the process of model．based fault detection and isolation(FDD technology．In the meantime，singular systems and Markovian jump linear systems(MJLSs)have also been extensively studied owing to their great capability of system modeling．The attention in this dissertation is focused on fault modeling and fault detection for continuous descriptor MJLSs．The main contributions ofthis thesis ale as follows： First of all，the faulty model of descriptor MJLSs is established，and then the advantages of state—space description in time domain over the transfer function description in frequency domain are pointed out． Secondly,the generalized bounded real lemma and its deduction for descriptor MJLSs are presented and proved，after introducing the definitions of regularity, impulse elimination and stochastical stability．The performance requirements for robustness and sensitivity of fault detection system are formulated into two L2-induced gain constraints．。Then，a sufficient condition for the existence of the desired fault detection filter iS obtained．Moreover,an iterative linear matrix inequality(LMr)algo