多包传输网络控制系统的鲁棒H_∞故障检测

Robust H_∞ fault detection for networked control systems with multi-packet transmission

针对多包传输网络控制系统,考虑具有未知干扰输入时,系统的鲁棒故障检测问题.首先建立了状态观测器,并基于动态调度策略,将观测器误差方程等效为离散切换系统;然后基于Lyapunov稳定性理论,给出了观测器系统为鲁棒H∞状态观测器的充分条件及观测器增益矩阵的求解方法.此外,为了增强鲁棒性和灵敏度,将阀值的选取归结为具有线性不等式约束的最小化问题.最后的仿真示例说明了该方法的有效性.

The problem of robust fault detection is considered for networked control systems with multi-packet transmission and unknown interference inputs. Firstly, the state observer is constructed, and the observer error equation is equaled to the discrete switched system under the dynamic scheduling strategy. Secondly, based on Lyapunov stability theory, the sufficient condition for the observer system being a robust H∞ state observer and the method to find the observer gain matrix are both given. Moreover, in order to enhance the robustness and sensitivity, the threshold is selected to solve the minimization problem with a linear matrix inequality constraint. Finally, an illustrative example shows the effectiveness of the proposed method.