线性离散系统的有限频域集员故障检测观测器设计

This paper proposes a novel finite-frequency domain actuator fault detection method for discrete-time linear system. By considering disturbances are unkown but bounded by zonotopes, a zonotopic set-membership fault detection obsever is presented to estimate the bounds of residual. Faults can be detected by checking whether the zero value is included by the zonotopes of residual or not. To improve the robustness to disturbance and sensitivity to fault, sufficient design conditions are derived based on the P-radius criterion and the generalized Kalman-Yakubovich-Popov lemma. Moreover, the design conditions are converted as linear matrix inequalities, which can be solved easily. Finally, simulation results of vehicle lateral dynamic systems are given to show the effectiveness of the proposed method.