Observer-based control for sampled-data fuzzy systems

We investigate an observed-state feedback stabilization problem involving sampled-data fuzzy systems arising from rapid growth of digital controller implementations. The underlying closed-loop fuzzy 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 system poses difficulties for stabilization analysis using LMI convex programming. To resolve the difficulties, a convex solution is assumed and the main result is expressed in an LMI formulation. Finally the validity and applicability of the approach are demonstrated by an example.