Predictive Control of nonlinear systems based on PWA model

This work concerns the control of nonlinear systems. For this purpose we identify the nonlinear system using PieceWise affine models (PWA). This choice is due to their ability to represent nonlinear systems with precision. Then, we proceed to design the one-step-ahead predictive control using the identified models. The proposed strategy exploit the same principle of the multimodel adaptive control with switching. For this strategy, a regulator is synthesized for each submodel using one of linear systems control approaches. The obtained results of the proposed control approache are satisfying.