In this work, a novel method is constructed for model predictive control (MPC) of Multi-Input Multi-Output (MIMO) systems. These latter are represented by a discrete-time MIMO ARX model expansion on Laguerre orthonormal bases. The resulting model entitled MIMO ARX-Laguerre model, provides a recursive representation with parameter number reduction. The recursive formulation of the MIMO ARX-Laguerre model is used to obtain the MPC strategy and to synthesizing an adaptive predictive controller of MIMO systems. The adaptive predictive control law is computed based on multi-step-ahead...