F-FDG PET/CT plays an integral role in the diagnosis of cardiac sarcoidosis. Diagnostic accuracy is affected by fasting duration and means of cardiomyocyte glucose uptake suppression before scanning.

This paper presents an observer-based output feedback controller design method for discrete time Takagi-Sugeno fuzzy systems, using a discrete time piecewise Lyapunov function. The proposed piecewise output feedback fuzzy controller is made up of a piecewise state feedback fuzzy controller and observer for each subspace. The validity of such a scheme invohing the separation principle is verified by a piecewise Lgapunov function. It is shown that the state feedhack control laws and observer gains can be obtained by solving a set of Linear Matrix Inequalities (LMI) that is numerically tractable with commercially available software. An example is given to demonstrate the advantage of the proposed method.