Air-ratio is an important engine parameter which relates closely to engine emissions, power, and brake-specific fuel consumption. Model predictive controller (MPC) is a well-known technique for air-ratio control. This paper utilizes two advanced techniques, discrete wavelet transformation (DWT) and relevance vector machine (RVM), to develop wavelet relevance vector machine model predictive controller (W-MPC) for airratio regulation. To compensate for the modelling error of W-
MPC and system disturbances, the W-MPC is proposed to connect in parallel with a proportional-integral (PI) controller so as to form a new hybrid model predictive controller (H-MPC). The proposed H-MPC is implemented on a real engine to evaluate its effectiveness. Its control performance is also compared with the W-MPC without PI controller and the latest MPC for engine air-ratio control in the literature. Experimentalresults show the superiority of the proposed H-MPC over the other two controllers, which can more effectively regulate the airratio to target values under external disturbance. Therefore, the proposed H-MPC is a promising scheme for engine air-ratio control.Keywords-Engine air-ratio, wavelet relevance vector machine, model predictive control, discrete wavelet transform I.