%0 Journal Article %T A Quasi-ARX Model for Multivariable Decoupling Control of Nonlinear MIMO System %A Lan Wang %A Yu Cheng %A Jinglu Hu %J Mathematical Problems in Engineering %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/570498 %X This paper proposes a multiinput and multioutput (MIMO) quasi-autoregressive eXogenous (ARX) model and a multivariable-decoupling proportional integral differential (PID) controller for MIMO nonlinear systems based on the proposed model. The proposed MIMO quasi-ARX model improves the performance of ordinary quasi-ARX model. The proposed controller consists of a traditional PID controller with a decoupling compensator and a feed-forward compensator for the nonlinear dynamics based on the MIMO quasi-ARX model. Then an adaptive control algorithm is presented using the MIMO quasi-ARX radial basis function network (RBFN) prediction model and some stability analysis of control system is shown. Simulation results show the effectiveness of the proposed control method. %U http://www.hindawi.com/journals/mpe/2012/570498/