In this paper, fault-tolerant active control of the rotational motion of the satellite has been applied. Satellite mathematical models are introduced and the non-traditional Kalman filter is designed with the presented control algorithms. Readjustment control procedure has been established taking into account the identified control distribution matrix. If there are three-axis reaction wheels on the satellite, the failure of one actuator, control setting is carried out using control distribution matrix diagnostics. Extended Kalman filter has been introduced to control the distribution estimation of matrix elements, so check back adjustment rule is applied by the fault tolerant attitude control.