Discrete-Time Flatness-Based Control Design for LTV MIMO Systems

This paper deals with the design of an linear time-varying (LTV) controller for multiple-input multiple-output (MIMO) systems. Using the concept of differential flatness property combined with a dead-beat observer, we propose as a result a two-degree-of-freedom (2-DoF) controller without the need to solve Bezout equation and avoid left and right matrix factorizations in a MIMO case. The main contribution of this paper is to generalize the previous works of Ben Abdallah et al. (in: Conf,rence Internationale Francophone de l'Automatique, CIFA, 2012, in: International journal of dynamics and control (IJDY). Springer, New York, 2013, in: International conference on control, decision and information technologies, CoDIT, Metz, 2014, Sleimi et al. in: IEEE 4th international conference on control engineering and information technology, CEIT, Hammamet, 2016) to deal with discrete-time flatness-based control for LTV MIMO systems leading to a 2-DoF controller. Simulation results of an academic system are given to illustrate the efficiency of the proposed methodology.