Model-based rotor speed keep out zone control

A system for keep out zone control comprising:

• a gas turbine engine comprising at least one compressor section and at least one turbine section operably coupled to a shaft of a spool;
• and
• a controller operable to:
• determine a closing threshold with respect to an upper limit and an opening threshold with respect to a lower limit of a movement range of an effector of the gas turbine engine based on an on-board model, wherein the upper limit and the lower limit define a keep out zone of a target parameter of the gas turbine engine;
• determine a projected state of the target parameter of the gas turbine engine absent a correction command to the effector;
• apply a closing correction to the effector as the correction command based on determining that the projected state of the target parameter of the gas turbine engine would result in being above the closing threshold;
• and
• apply an opening correction to the effector as the correction command based on determining that the projected state of the target parameter of the gas turbine engine would result in being below the opening threshold.