Continuous-time Generalized Predictive Control based on Poisson-Laguerre models

A Generalized Continuous-time Predictive Control (CGPC) based on Poisson-Laguerre (PL) models is proposed and analyzed. The output signal predictor is obtained without truncating the McLaurin series and then no output predictor order (Ny) is needed. The used matrices integrals in the CGPC algorithm could be computed analytically. Conditions on control parameters to guarantee the stability of the closed loop are given and discussed. For this kind of models, with a non-zero control-weighting parameter the disturbances elimination is not guaranteed. This problem have been diverted by proposing another way to compute the command signal.