基于GH_2/H_∞控制的时滞系统控制/诊断器集成设计

The Integrated Controller/Detector Design for State-Delay Systems Based on Mixed GH_2/H_∞ Control

针对状态时滞系统,研究控制器与故障诊断器集成设计问题.应用GH2/H∞混合控制方法,分别用H∞范数和GH2范数作为系统控制和故障诊断的性能指标,在系统存在状态时滞、外部扰动和出现故障的情况下,设计集成控制/诊断器;以线性矩阵不等式(LMI)的形式给出问题时滞独立解存在的条件以及集成控制/诊断器的求解方法.通过一个仿真实例验证了该方法的有效性和可行性.

This paper considers an integrated controller/detector design problem for time-delay systems with both exogenos disturbance and fault. Using mixed GH2/H∞ control theory,the integrated controller/ detector was designed. The GH2 norm is considered as a measure for fault detection objectives and the H∞ norm is considered as a measure for control objectives. The sufficient conditions for the existence of integrated controller/detector and its design method were presented in terms of linear matrix inequality （LMI） ,independently of time delay. A numerical example was given to demonstrate the validity and applicability of the proposed approach.