切换系统故障估计方法在三水箱系统中的应用

针对由三水箱液位控制系统组成的实际切换系统，研究了其故障估计问题。利用机理分析方法得到了有故障发生时的系统模型，在此基础上，运用平均驻留时间方法和H_∞滤波技术，推导并证明了该问题可解的充分条件。利用线性矩阵不等式技术给出了相应的估计器参数矩阵的求解方法以及切换信号需要满足的驻留时间条件。通过仿真验证了所提出方法的有效性。

Fault estimator design for switched systems-application to the three-tank system

The fault estimation problem of a practical switched system composed of the three tank system was addressed. By using the mechanism modeling approach, a general mathematic model was established. All the possible faults were considered in the modeling process. Then based on the average dwell time approach and the H_∞ filtering technique, sufficient existence conditions of the fault estimator were derived. Moreover, the parameter matrices and suitable switching rule were obtained by solving a set of linear matrix inequalities (LMIs). An example was given to show the effectiveness of the obtained results.