When controlling the Apparatus Function (AF), the size of definition domain of the AF O and the sampling step and conditionality of the AF must be chosen so that its inverse function pR=pО-1 obtains a minimum norm. The compensation of the AF O distortions in the measured images is realized point-by-point (without using the Fourier Transform in convolution). The computer of the device uses the resolving function pR, selected by the controlling procedure, for achieving super-resolution in images. Such controlled super-resolution is demonstrated on the Martian images.