A power-split-type transmission with independently controllable output speed (ICTs) was recently proposed. It is capable of converting a variable or constant input shaft speed into a controllable output shaft speed independent of the input speed – without ordinary speed control system. However, this transmission has no practical significance, because of huge control motor power and uncontrollable speed of one output shaft. The novel type of the hybrid ICT is proposed in this paper that consists of three differential gear trains and two ordinary gear drives, with input shaft of arbitrary speed and three more external shafts with mutually controllable speeds. The kinematic synthesis of the series of the proposed type of ICTs is carried out. The numerical example, assigned to a vehicle, is demonstrated where a continuous variation of required vehicle speeds at arbitrary riding conditions is achieved without using a speed control system. For the optimal speed of driving engine, i.e. for minimum fuel consumption at any vehicle speed, the engine speed control system is provided, with control motor that runs at speed forcing engine to run at optimal speed.