Observer-based generalized asymptotic regulation with sub-optimal transient response

The generalized asymptotic regulation problem is considered with an observer-based controller. Two different sets of LMI conditions are derived for the optimization of the transient behavior. These conditions are potentially conservative, as would usually be the case for restricted-structure controllers. Nevertheless, it is illustrated by a design example that the performance of the observer-based controller can be quite close to the controller with a general structure.