Abstract
In this paper, the settling problem of the output of linear, time-invariant, discrete-time systems is discussed, i.e. the problem is to find a control sequence which transfers and settles the output to a given constant reference value with the minimum time (in the sense of the minimum number of time steps). The solution to the posed problem can be obtained in the form of an extension of the results for the problem of the zero reference value case. Also, the internal stability and the full time settling property of the constant-value control system are considered. It is shown that the transmission zero of the system play some important roles on the synthesis and the evaluating performance of such control systems. Finally a simple numerical example is presented to illustrate the above results.
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