Stability/Control Augmentation System (S/CAS) is widely recognized as a basic framework of flight controllers, and its usefulness has been well established. In general, SAS is composed of a proportional controller using attitude rate signals, and CAS is composed of a proportional-integral controller using the errors between attitude/attitude rate/acceleration commands and their current values; that is, S/CAS is a kind of a PID controller with the input signal to the derivative controller being set as the attitude rate signals. The interpretation of PID gains, i.e. appropriateness of PID gains, is very easy since PID gains are directly related to their control actions. On the other hand, due to this too much simplified structure, it is hard to implement another function to PID controllers. In this paper, we propose a novel S/CAS which has the ability to estimate some of plant states in addition to the original control function of improving the stability and the controllability, and we also propose its design method in terms of tractable LMI conditions.