H-/L∞fault detection observer design for Lipschitz nonlinear systems
ZHOU Meng
WANG Zhen-hua
WANG Chang
SHEN Yi
Abstract：This paper proposes an H-/L∞fault detection observer design method 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. Next, a residual evaluation and a dynamic threshold are synthesized based on the L∞norm. Besides, 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 correctness and effectiveness of the proposed method.
Keywords：Lipschitz nonlinear systemsH-indexL∞normfinite-frequency domainfault detection
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：8( 778-785 )