LMI-Supported Design of Residual Generators Based on Unknown-Input Estimator Scheme

Using linear matrix inequality (LMI) methodology, a unified approach to the unknown-input estimator based residual generators for linear discrete-time systems is presented in this paper. The problem solvability conditions are stated in terms of feasibility of the LMIs set to design a stable residual generator while Lyapunov inequality is satisfied. In that sense, depending on the matrix orthogonal complement properties, the base linear matrix inequalities are outlined to be adapted through the third ones for the optimal parameters solving in the given residual generator structure. A state-space model based example is presented to provide the properties of the proposed design method.