Fault detection filter design for the dynamics of high speed trains

The fault detection filter design problem of the high speed trains (HSTs) is systematically studied in this paper. First, an uncertain polytopic linear system is introduced to model the nonlinear uncertainty of the HSTs. And then a general structure of multi-objective H-/H-infinity fault detection filters is proposed. Necessary and sufficient conditions for both robustness condition referred to as H-infinity performance index and sensitivity condition expressed as H- performance index are given in the form of matrix inequality. In order to handle conflicting H- performance index and H-infinity performance index, a linear matrix inequality (LMI) based iterative algorithm is provided to obtain the desired filter. Finally, a numerical simulation is conducted to demonstrate the effectiveness of the proposed iterative algorithm.