Design of multirate output sampling based linear functional observer and state feedback

This paper addresses the problem of realizing a predefined linear function of a state using multirate sampling for the purpose of implementing state feedback control law. For that, the functional should be expressed as a linear combination of output vector constructed by sampling system output at faster rate. This method can also be applied for systems having unobservable modes. The proposed method has the advantage that the number of output samples required can be less than the observability index. Numerical example is considered to illustrate the procedure of proposed method.