I would like to linearize my nonlinear MIMO system (I use this model for reference tracking purposes), but it doesn't fulfill the requirement of feedback linearization. Are there any alternative methods to linearize this system?
You can use an exact linearization. Depending upon the control objective, Two different exact linearizations are possible: 1) Input-to-State Linearization 2) Input–output Linearization. For your case, input–output Linearization with Lie derivative transformation can be used.