Abstract
A solution is presented for the analytical design of digital controller in accordance with a specified optimum criterion. This approach makes use of the modified z-transform technique. The analytical design procedure for systems with random noise occurring in the input channel and for those with random noise occurring at a point in the control loop is developed via modified z-transformation. Much attention is centered upon stationary random functions because of their frequent occurrence in control systems and their being amenable to mathematical treatment. In this paper, physical realizability and system constraints are considered, general design equations for both cases of noise occurrence are derived, and systems with deterministic inputs are discussed.
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