| A multirate control structure allows the designer to accommodate multiple information rates and implement required control computations within the finite computational capabilities of an onboard computer. The purpose of this study was to analyze the multirate scheme of a stable, linear, and time invariant system. The output feedback control is so designed that it uses a very high gain observer in its feedback path. The dynamics of the control are slow as compared to the dynamics of the observer. The behavior of the system is also analyzed using singular perturbation theory to see how the fast and slow modes behave in first cycle. Also, singular perturbation theory is used to show that the performance of the system under state feedback control can be recovered by using the output feedback control which uses a very high gain observer in its feedback path. The performance of the system is also studied by changing different parameters like, initial conditions, value of {dollar}varepsilon ,{dollar} and sampling times. In computer simulations, it is seen that saturating the control helps in reducing the peaking phenomenon, that occurs due to different initial conditions. |
