As mentioned before, a class of system observer can afford to provide simulteneously the state estimates as well as the parameter estimates of an linear unknown system. In this paper, an adaptive control input can be implemented so that the plant output estimate might become identical to the output of the reference model. As a result, the following severel advantages can be shown.
[1] Simpler configuration of overall closed loop than several previous procedures.
[2] Minimum convergence time of the plant output to the output of the reference model.
[3] Not necessarily reqirement of identifying uniquely actual parameters of unknown plant in the process of actuating the adaptive control system combined with the system observer.
[4] Judgement whether the adaptive system works properly
[5] A numerical computational work for a 29-th order plant as a demostration of a higher order plant is done to illustrate the basic idea.