Braking system for vehicles comprising - a pilot pump provided with lever and/or pedal-operated manual actuation means , which is fluidically connected, by means of a first hydraulic duct to an absorber device which simulates the drive resistance offered by at least one braking device associated with a wheel of said vehicle, wherein, along said first hydraulic duct a first shut-off valve is arranged, - at least one electromechanical and/or electro-hydraulic actuator device , operatively connected to at least one electricity storage device (36', 36") and to said at least one braking device (24', 24") for the actuation of the latter, - at least one sensor , belonging to a group comprising position sensors of the stroke and/or rotation of the lever or pedal or of a float or of a push-rod of the pilot pump , force sensors of the force applied to said lever or pedal or to a float or cylinder of the pilot pump , pressure sensors of the pilot pump delivery pressure , suitable to detect the occurrence and magnitude of a braking action request exerted by the user through said lever or pedal , - the system comprising at least one control unit (30', 30") operatively connected to said at least one sensor and to the at least one actuator device (32', 32") and being programmed so as to actuate the braking device by means of the actuator device (32', 32") when it receives from said at least one sensor a braking action request signal, wherein the control unit (30', 30") is programmed so as to correct the braking action requested by the user, actuating the actuator device (32', 32") so as to avoid blocking of one or more wheels or the occurrence of instability of the vehicle during braking, wherein the control unit (30', 30") is programmed to induce on the manual actuation means at least one vibration when it corrects the braking action requested by the user, the system being characterized in that said at least one sensor comprises a dual power supply via two distinct electricity storage devices (36', 36"). - a pilot pump provided with lever and/or pedal-operated manual actuation means , which is fluidically connected, by means of a first hydraulic duct to an absorber device which simulates the drive resistance offered by at least one braking device associated with a wheel of said vehicle, wherein, along said first hydraulic duct a first shut-off valve is arranged, - at least one electromechanical and/or electro-hydraulic actuator device , operatively connected to at least one electricity storage device (36', 36") and to said at least one braking device (24', 24") for the actuation of the latter, - at least one sensor , belonging to a group comprising position sensors of the stroke and/or rotation of the lever or pedal or of a float or of a push-rod of the pilot pump , force sensors of the force applied to said lever or pedal or to a float or cylinder of the pilot pump , pressure sensors of the pilot pump delivery pressure , suitable to detect the occurrence and magnitude of a braking action request exerted by the user through said lever or pedal , - the system comprising at least one control unit (30', 30") operatively connected to said at least one sensor and to the at least one actuator device (32', 32") and being programmed so as to actuate the braking device by means of the actuator device (32', 32") when it receives from said at least one sensor a braking action request signal, wherein the control unit (30', 30") is programmed so as to correct the braking action requested by the user, actuating the actuator device (32', 32") so as to avoid blocking of one or more wheels or the occurrence of instability of the vehicle during braking, <EOS>