Method for controlling a double-excitation synchronous rotating electrical machine so as to produce a setpoint motor torque as a function of a current rotational speed of said machine, said machine being of the type comprising a stator provided with stator windings through which a stator current passes and a rotor comprising a plurality of alternating north and south poles formed using a plurality of permanent magnets and a plurality of excitation windings through which an excitation current passes, said permanent magnets being housed in respective first recesses that extend axially and are distributed regularly in a circumferential portion of the magnetic mass of said rotor so as to define a plurality of circumferential pole sections, said excitation windings being housed in respective second recesses that extend axially and are distributed regularly in an intermediate portion of the magnetic mass of said rotor, said intermediate portion being located between said circumferential portion and a central portion of said rotor, each one of said excitation windings being inserted into a respective radial pole tooth forming a partition between two of said consecutive second recesses, each pole tooth being essentially aligned with a central radial axis of the corresponding pole, said method being of the type in which a computer model of said machine is developed beforehand, characterized in that: - one calculates, beforehand and using said numerical model, for an operating point (theoretical motor torque r, theoretical rotational speed Ω), an optimum combination of a triplet of control parameters consisting of an intensity Is of said stator current, a phase shift angle ψ between said stator current and a quadrature axis of said machine, and an intensity If of said excitation current, for which parameters the performance of said machine is at a maximum; - one saves, beforehand, a set of values of said optimum combination as a function of said theoretical motor torque Γ, and said theoretical rotational speed Ω; - one produces said setpoint motor torque as a function of said current rotational speed by fixing a current combination of said triplet of control parameters to said optimum combination at said operating point (setpoint motor torque, current rotational speed); and in that said set of values of said optimum combination is saved in the form of representative laws in various intervals of said theoretical rotational speed Ω, in a first interval of said theoretical rotational speed Ω, said theoretical motor torque Γ being constant, said values of said optimum combination comprise optimum stator current intensities Is varying linearly as a function of said theoretical rotational speed Ω, optimum phase shift angles ψ proportional to an inverse tangent function of an affine function of said theoretical rotational speed Ω, and optimum excitation current intensities If varying linearly as a function of said theoretical rotational speed Ω, and in a second interval of said theoretical rotational speed Ω, bounded at the top by said first interval, said values of said optimum combination comprise optimum phase shift angles ψ which are zero, and optimum stator current intensities Is and optimum excitation current intensities If that are linked to said theoretical motor torque Γ by predetermined fourth coefficients establishing a relation of proportionality. - one calculates, beforehand and using said numerical model, for an operating point (theoretical motor torque r, theoretical rotational speed Ω), an optimum combination of a triplet of control parameters consisting of an intensity Is of said stator current, a phase shift angle ψ between said stator current and a quadrature axis of said machine, and an intensity If of said excitation current, for which parameters the performance of said machine is at a maximum; - one saves, beforehand, a set of values of said optimum combination as a function of said theoretical motor torque Γ, and said theoretical rotational speed Ω; - one produces said setpoint motor torque as a function of said current rotational speed by fixing a current combination of said triplet of control parameters to said optimum combination at said operating point (setpoint motor torque, current rotational speed); and in that said set of values of said optimum combination is saved in the form of representative laws in various intervals of said theoretical rotational speed Ω,