Residual generation with unknown input observer for linear systems in the presence of unmatched uncertainties

作者：Bagherpour Esmaeel A^*; HairiYazdi Mohammad Reza; Mahjoob Mohammad J

来源：Journal of Mechanical Science and Technology, 2014, 28(12): 5159-5167.

DOI：10.1007/s12206-014-1139-6

• Fault detection
• Observer matching condition
• Residual generation
• Unknown input observer

In this paper, we deal with residual vector generation for fault detection problems in linear systems via unknown input observer (UIO) when the so-called observer matching condition is not satisfied. Based on the relative degree between unknown input and output, a vector of the auxiliary output is introduced so that the observer matching condition is satisfied with respect to the vector. Auxiliary outputs are related to the derivatives of measured signals. However, differentiation leads to excessive amplification of measurement noise. A dynamically equivalent configuration of linear systems is developed using successive integrations to avoid differentiation. As such, auxiliary outputs are constructed without differentiation. Then, the equivalent dynamic system and its corresponding auxiliary outputs are used to generate the residual vector via an exponentially converging UIO. Fault detection in the generated residual vector is also investigated. Finally, the effectiveness of the proposed method is shown via numerical simulation.

• 出版日期2014-12