Residual generator identification and design for linear multivariable systems

Abstract

This chapter investigates the design of residual generators to realize complete diagnosis schemes in linear multivariable systems with additive faults and disturbances. The use of canonical input–output polynomial forms leads to characterize in a straightforward fashion the basis of the subspace described by all the possible residual generators. It is shown that the order and the parameters of these filters can be identified directly from a finite number of input–output samples describing the behavior of the process in absence of faults. These tools show how the mathematical description of these filters can be obtained by also following a black-box identification approach. The results obtained in the simulation of real cases are encouraging. An example is finally presented.