| 引用本文: | 周萌,王振华,王昶,沈毅.Lipschitz非线性系统的H_/L∞故障检测观测器设计[J].控制理论与应用,2018,35(6):778~785.[点击复制] |
| ZHOU Meng,WANG Zhen-hua,WANG Chang,SHEN Yi.H_/L∞ fault detection observer design for Lipschitz nonlinear systems[J].Control Theory and Technology,2018,35(6):778~785.[点击复制] |
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| Lipschitz非线性系统的H_/L∞故障检测观测器设计 |
| H_/L∞ fault detection observer design for Lipschitz nonlinear systems |
| 摘要点击 2487 全文点击 1365 投稿时间：2017-05-27 修订日期：2018-01-04 |
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| DOI编号 10.7641/CTA.2018.70356 |
| 2018,35(6):778-785 |
| 中文关键词 Lipschitz非线性系统 H_指标 L∞ 范数 有限频域 故障检测 |
| 英文关键词 Lipschitz nonlinear systems H_index L∞ norm Finite-frequency domain Fault detection |
| 基金项目 国家自然科学基金项目(91718102, 51575034)资助. |
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| 中文摘要 |
| 针对Lipschitz非线性系统提出了一种基于H-/L∞故障检测观测器的故障检测方法。首先, 利用有限频域的H_指标来刻画观测器残差的最小故障敏感度, 利用外界干扰到残差的L∞范数来描述观测器对干扰的鲁棒性能。其次，提出了基于L∞范数性能指标的残差评价与动态阈值生成方法。 此外，给出了H-/L∞故障检测观测器的存在条件并整理成线性矩阵不等式。 最后，仿真算例验证了本文所提方法的正确性与有效性。 |
| 英文摘要 |
| This paper proposes an H-/L∞ fault detection observer for Lipschitz nonlinear systems. First, the finite frequency H- index is used to measure the worst-case fault sensitivity and the L∞ norm from unknown disturbance to residual is used to measure disturbance robustness performance. Besides, a residual evaluation and a dynamic threshold are synthesized based on the L∞ norm to achieve an efficient fault detection. Sufficient conditions of the observer design are derived and transformed by a set of linear matrix inequalities. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed method. |