A MIMO Time-Varying System Control Via a Stable Dynamic Inversion Methodology: Case of an Induction Machine

In This paper, we study a MIMO nonlinear systems control via the linear time-varying form and stable dynamic inversion methodology. We apply a poles placement state feedback control of MIMO nonlinear systems of an induction machine using trajectory linearization control. The nonlinear system is linearized along a nominal trajectory to yield a MIMO linear time-varying one which is transformed into the controller canonical form through a Lyapunov coordinate transformation, which serves to compute the control input design. The nominal trajectory is not easy to calculate because systems are governed by many physical constraints and the requested movement that the system needs to do must be, first of all, feasible. So a stable inversion design has been used to generate the nominal trajectory from the desired output. The effectiveness of the developed approach is checked on a real speed trajectory tracking of an asynchronous motor.