Design and analysis of robust residual generators for systems under feedback control
Design and analysis of robust residual generators for systems under feedback control
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DOI：
10.1016/j.automatica.2004.09.013
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发表时间：
2005-02
期刊：
影响因子：
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通讯作者：
D. Henry;A. Zolghadri
中科院分区：
文献类型：
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作者：
D. Henry;A. Zolghadri
针对反馈控制下的LTI不确定系统，提出了一种鲁棒故障检测与隔离（FDI）滤波器的设计方法。提出了一种两步设计方法来推导非保守鲁棒FDI滤波器。第一步包括设计一个最优的FDI滤波器，使故障灵敏度性能最大化，同时最小化未知输入对大类模型扰动的影响。通过线性矩阵不等式技术对设计问题的所有自由参数进行了优化。第二步包括系统的设计后分析程序。提出了一种检验方法，以检查是否在所有指定的模型扰动下实现了所有FDI目标。该问题是在指定的频率范围内使用适当的性能指标来制定的。求解基于广义结构奇异值。最后，给出了中试实验室系统的实验结果，以验证所提方法的有效性。
In this paper, a general approach is presented to design robust fault detection and isolation (FDI) filters for LTI uncertain systems under feedback control. A two-step design procedure is proposed to derive non-conservative robust FDI filters. The first step consists of designing an optimal FDI filter that maximizes fault sensitivity performance and simultaneously minimizes the influence of unknown inputs, for a large class of model perturbations. The design problem is formulated so that all free parameters are optimized via Linear Matrix Inequality techniques. The second step consists of a systematic post-design analysis procedure. A test is proposed to check if all FDI objectives are achieved for all specified model perturbations. The problem is formulated using an appropriate performance index over a specified frequency range. The solution is based on the generalized structured singular value. Finally, experimental results from a pilot laboratory system are presented to demonstrate the effectiveness of the proposed method.