摘要：AbstractThis paper proposes a generalizedminimum detectable fault(MDF) computation method based on the set-separation condition between the healthy and faulty residual sets for discrete-timelinear parameter varying(LPV) systems with bounded inputs and uncertainties. First, we equivalently transform the multiple multiplicative actuator faults into the form of multiple additive actuator faults, which is beneficial to simplify the problem. Then, by considering the 1-norm of the fault vector, we define the generalized MDF in the case of multiple additive actuator faults, which can be computed via solving a simplelinear programming(LP) problem. Moreover, an analysis of the effect of the input vector on the magnitude of the generalized MDF is made. Since the proposed generalized MDF computation method is robust by considering the bounds of inputs and uncertainties, robustfault detection(FD) can be guaranteed whenever the sum of the magnitudes of all occurred faults is larger than the magnitude of the generalized MDF. At the end of this paper, a numerical example is used to illustrate the effectiveness of the proposed method.
关键词：KeywordsInvariant SetsMultiple Multiplicative Actuator FaultsGeneralized Minimum Detectable FaultsLPV Systems
