In the paper we present smart textiles for application in critical infrastructures based on fiber Bragg grating sensors. The suitability of the selected polyester fabric was evaluated by experimental measurement. Low elasticity caused an irreversible deformation of the fabric and thus change of the reference value when stretching the textile. With a 4.5 Newton tensile, the reference value change was up to 0.14 pm. Therefore, a combination of two layers of different textiles was tested. The second layer caused less deformation of the first layer by up to 50 percent.