A gas
turbine engine has, in flow series, a compressor section, a
combustor, and a
turbine section. The gas
turbine engine further has a
system (i) for cooling the turbine section and (ii) for providing
tip clearance control between turbine blades of the turbine section and a plurality of circumferentially distributed segments which form an annular shroud surrounding the outer tips of the turbine blades. The
system includes a turbine section cooling sub-
system which diverts a first cooling air flow received from the compressor section to a
heat exchanger and then to the turbine section to cool components thereof. The first cooling air flow by-passes the
combustor and is cooled in the
heat exchanger. The turbine section cooling subsystem has a first valve arrangement which regulates the first cooling air flow. The system further includes a
tip clearance control sub-system which supplies a second cooling air flow to an engine case to which the segments are mounted. The second cooling air flow regulates
thermal expansion of the case and thereby controls the clearance between the segments and the outer tips. The
tip clearance control sub-system has a second valve arrangement which regulates the second cooling air flow. The system further includes a closed-loop controller which issues first and second demand signals to respectively the first and the second valve arrangements. Each of the first and second demand signals are determined on the basis of: (i) a value of the first demand
signal at a previous
time step, and a measurement or estimate of turbine section component temperature, and (ii) a value of the second demand
signal at a previous
time step, and a measurement or estimate of tip clearance.