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

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

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.