Residual generator synthesis for bilinear systems up to output injection

The synthesis of residual generators for automatic fault detection and isolation is considered. Sufficient conditions for its solvability are presented, for a particular class of nonlinear systems. The plant model is assumed to be bilinear in the control signals, up to output injection, and bilinear in the failure modes. Next a method of designing the residual generator is described. It involves the determination of a particular family of (C, A)-invariant subspaces. To this end, a characterization of all the (C, A)-invariant subspaces had to be derived. Finally, a simulation study on a distillation column model illustrates the feasibility of the approach