H/H Fault Detection Filtering for a Class of Uncertain Nonlinear System

In this study, design of observer based Fault Detection (FD) is proposed for a class of Lipschitz systems, in which the nonlinearities appear both in the state and measured output equations. The system is supposed to have norm-bounded uncertainties in all the four realization matrices and the coefficients of disturbances. Synthesis of the H-/H∞ observer based Fault Detection is done through semidefinite programming and strict Linear Matrix Inequality (LMIs). The resulting H-/H ∞ observer based fault detection guarantees asymptotic stability of the estimation error dynamics with prespecified disturbance attenuation level. Furthermore, it is robust against parametric uncertainties.

Keywords:

component , Fault detection , Observers , Nonlinear systems , Robustness