An LMI approach for observer based model reference control

In this paper, the control of a class of linear model following systems with a full-state observer is investigated. We assume that the model dynamics are completely known and the order of the model can be different from that of the controlled plant. The observer-based controller is designed utilizing linear matrix inequality approach. The controller developed in this investigation is linear and under certain assumptions this controller forces the plant output to follow the output of a model. The controller also guarantees that every system response is asymptotically stable. The application of the theory is illustrated providing computer simulation results.