Current observer for sampled-data fuzzy systems

We investigate an observer synthesis and stability analysis involving sampled-data fuzzy systems arising from rapid growth of digital observer implementations. The underlying error system is shown to be asymptotically stable when intersampling effects are taken into account. Being a periodically time-varying hybrid (discrete/continuous) system, the Riccati inequality associated with the sampled-data fuzzy system poses difficulties for synthesis and analysis using LMI convex programming. To resolve the difficulties, a convex solution is assumed and the main result is expressed in LMI formulation. Lastly, the validity and applicability of the approach are demonstrated by an example.