Sampled-data H?/H? H ? / H ? fault detection and isolation for nonlinear systems in TS form: An approximate model approach
A direct discrete-time design methodology for the sampled-data fault detection and isolation (FDI) problem is proposed for a nonlinear system in TakagiSugeno form. The generalized observer scheme is adopted, accompanied by a bank of the sensors' number of observers. A sufficient condition to find observer and residual gains, based on an accessible approximaterather than unavailable exactdiscrete-time model is proposed in terms of matrix inequalities so that it exhibits H?/H? H ? / H ? performance and asymptotic stability. An algorithm involving a convex optimization is presented using the cone complementary linearization technique. We show that the FDI observer ensures (modified) H?/H? H ? / H ? performance and Lagrange stability, when it is connected to the actual nonlinear system.
direct discrete-time design sampled-data fault detection and isolation (fdi) takagisugeno fuzzy system approximate discrete-time model h?/h? h ? / h ? performance h?/h? h ? / h ? h?/h? h ? / h ? h ? / h ?