A torque optimization system for a range-extended electrified vehicle (REEV) having an electrified powertrain including an internal combustion engine and three electric motors a, b, and c, the torque optimization system comprising:
- a set of sensors configured to measure a set of operating parameters of the REEV;
- and
- a control system configured to:
- reduce a four-dimensional (4D) optimization problem for the electrified powertrain to a three-dimensional (3D) optimization problem, the 4D optimization problem defining torques generatable by the three electric motors a, b, and c and engine, wherein the reducing comprises determining modified battery power constraints representing two concentric circles having respective radii that define possible torques for electric motors b and c;
- solve the 3D optimization problem by modifying the radii based on a known torque for electric motor a, wherein electric motor a is associated with the engine;
- determine torque commands for the electric motors b and c and the engine based on the solving of the 3D optimization problem and the set of operating parameters and determine a torque command for electric motor a;
- and
- control the electrified powertrain based on the determined torque commands.