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The present work is concerned with controller design of linear discretetime systems modeled in the delta domain. Time moment method, a tool so far used for model order reduction is applied to compute online time moments from the inputoutput response of the plant and reference model to estimate the controller parameters adaptively. Traditionally, discretetime sampled data systems are represented using shiftoperator parameterization. Such parameterizations are not suitable at fast sampling rates. An alternative parameterization using the socalled delta operator maintains a close correspondence to its continuoustime counterpart at fast sampling rate. Using delta operator parameterization it is possible to unify both discretetime and continuoustime theory. The coefficients of the discretetime transfer function are similar to the corresponding ones in continuoustime and it becomes easier to tune controller parameters for improved dynamic performance. At fast sampling limit, the delta operator model tends to the analog dynamic system model.
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