In　this　paper,　a　low-complexity　model　predictive　flux　control　(MPFC)　with　a　fixed　switching　frequency　is　proposed　for　induction　motors　(IMs)　fed　by　a　two-level　voltage　source　inverter.　The　appropriate　active　voltage　vectors　(AVVs)　are　determined　according　to　estimated　torque　derivation.　The　generalized　discrete　space　vector　is　used　for　improving　the　controller　performance,　and　the　computation　time　is　mitigated　by　derivation　of　the　extremum　of　the　flux　control　objective.　To　ensure　the　controller　switching　frequency　is　fixed,　the　synthesized　control　voltage　vector　is　implemented　using　a　symmetrical　three-vector　method.　The　proposed　controller　is　evaluated　at　5　kHz　sampling　frequency　and　the　achieved　results　validate　the　effectiveness　of　the　strategy　for　improving　the　steady-state　performance　while　maintaining　a　constant　switching　frequency　around　5　kHz　over　a　wide　range　of　operating　conditions.　©　2023　IEEE.