Active Magnetic Bearings (AMBs) – mechatronic systems that rely on magnetic levitation capability to non-contact support a rotating shaft, have recently become a potential alternative to traditional bearings. The conventional structure of AMBs contains three thrust bearings: two for radial levitation and the other for axial direction. This makes AMBs bulky and challenging to apply in devices with compact requirements. Cone-shaped Active Magnetic Bearings (CAMBs) address this issue, but its configuration requires a more complex control structure due to the inherent coupling of radial and axial control actions. Additionally, the air gap between stationary parts and rotating coned-shaped shaft is designed to be small enough to ensure magnetic force effectively impact on rotor. However, when considering the effect of external disturbance, i.e. hydrodynamic forces in high-speed pumps, collisions between stationary and rotary parts may occur, causing severe damage to overall systems. This paper introduces a novel approach – Exponential Control Barrier Function (ECBF) integrated with Quadratic Programming (QP) to constraint the motion of the rotor, thereby reducing the chance of collisions even under impact of significant external disturbances. The high performance of the proposed controller is illustrated via RMSE index, in terms of considering rotor mass imbalance and gyroscopic forces as systems external disturbance that is demonstrated through simulation results of MATLAB/Simulink.