离散LPV系统的鲁棒故障估计

Robust Fault Estimation for Discrete-Time LPV System

对一类具有仿射参数依赖关系的离散线性参数变化(LPV)系统的鲁棒故障估计问题进行研究.基于增益调度思想,提出一种鲁棒故障估计器的设计方法,所设计的故障估计器与对象具有相同的参数依赖性.首先以线性矩阵不等式(LMI)的形式给出并证明故障估计器存在的充分必要条件,然后给出故障估计器的构造方法,最后通过一个数值例子展示设计过程.仿真结果表明,所设计的故障估计器可以快速、准确地重构系统中的故障信号.

The robust H∞ fault estimation problem for affine discrete-time linear parameter varying （LPV） system was studied. Based on the gain scheduling techniques, a new design method of robust H∞ fault estimator was proposed. The designed fault estimator possessed the same parameter dependence as the plant. A necessary and sufficient condition for the existence of the fault estimator was presented in terms of linear matrix inequations（LMI）. The synthesis algorithm of the fault estimator is presented. A numerical example is proposed to introduce the synthesis process of the estimator, and the simulation result demonstrated that the designed fault estimator could reconstruct the fault signal promptly and accurately.