Comparative Analysis of Different Control Schemes in Delta Domain Using Time Moments

Traditionally, discrete-data sampled data systems are represented using shift-operator parameterization. Such parameterization was not suitable at high sampling rates. An alternative parameterization using the so-called delta operator maintains the close correspondence to its continues-time counterpart at fast sampling rates. This paper deals with the application of time moment estimation and adaptive control schemes. In the fast sampling limit, the delta operator model tends to the analog dynamic system model. This intrinsic property of the delta operator model unifies continues and discrete time control engineering. Comparative analysis results are showed the usefulness of the scheme.