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| Abstract: |
| In this paper, a robust sensor fault diagnosis observer with non-singular structure is proposed for a class of linear sampled-data descriptor system with state time-vary delay. Firstly, a sampled-data descriptor model with time-vary delay is proposed and transformed into a discrete-time non-singular one. Then, a robust sensor fault diagnosis observer is proposed based on the state estimation error and the measurement residual, this observer can guarantee the robustness of the residual against the augmented disturbance and the sensor fault, which means the Hperformance index is satisfied. As the confining matrix of the designed observer parameters does not meet the Linear Matrix Inequality (LMI), a cone complementary linearization (CCL) algorithm is proposed to solve this problem. The decision logic of the residual is obtained by the residual evaluation function. Simulation results show the effectiveness of the method. |
| Key words: descriptor system sampled-data system time-vary delay sensor fault diagnosis observer design |
| DOI：10.11916/j.issn.1005-9113.18046 |
| Clc Number:TP13 |
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| Descriptions in Chinese: |
| 线性变参数广义连续-离散系统鲁棒故障诊断观测器设计 王茂1，梁天添1，周振华2 (1.哈尔滨工业大学 空间控制与惯性技术研究中心，哈尔滨 150001； 2. 常州工业职业技术学院，江苏 常州 213000) 创新点说明：1）引入参数并使用欧拉离散化方法将线性时变时滞广义连续-离散系统转化为非奇异一般时滞离散系统进行研究； 2) 针对转化得来的非奇异系统设计传感器故障诊断观测器。该故障诊断观测器具有非奇异结构，相较于以往具有奇异结构的广义系统故障诊断观测器更容易实现。 3) 由转换得来的非奇异系统及观测器组成的增广矩阵满足鲁棒H无穷性能指标，即：增广系统动态方程是渐进稳定的，且增广残差对于设备故障及扰动具有鲁棒性； 4) 为尽早检测出故障，给出残差评价函数及阈值以判断故障是否发生。 研究目的及方法： 为解决一类线性时变时滞广义连续-离散系统的故障诊断问题，采用鲁棒H无穷故障诊断观测器设计，并分别对缓变故障及突变故障进行仿真，以验证设计方案的有效性。 研究结果： 仿真结果表明，对于缓变故障和突变故障，本文设计的鲁棒故障诊断观测器均具有较好的诊断结果。 结论： 1）提出的非奇异结构故障诊断观测器在实现上更为容易。 2）提出的故障诊断观测器符合鲁棒H无穷性能指标：即增广残差对于故障及扰动具有鲁棒性。 3）对于两类故障(缓变故障及突变故障)，本文设计的故障诊断观测器均具有较好的诊断效果。 关键词：广义系统；连续-离散系统；时变时滞；故障诊断；观测器设计 |
