Member of the two-component regulatory system GlrR/GlrK that up-regulates transcription of the glmY sRNA when cells enter the stationary growth phase. Activates GlrR by phosphorylation. ATP + protein L-histidine = ADP + protein N-phospho-L-histidine. Autophosphorylated. Mutants show decreased amounts of glmY. Not required for the regulation of the glmY-glmZ-glmS regulatory cascade by glucosamine-6-phosphate depletion. Truncated N-terminus.