An overview of discrete stochastic controllers: Generalized PID algorithms with dead‐time compensation Journal Articles uri icon

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abstract

  • AbstractDigital computer control systems have enabled use of a wide variety of different algorithms compared with the classical analog proportional‐integral‐derivative controllers. Design techniques have been presented for many of these in diverse areas of the literature. Some algorithms are designed to give minimum time responses, or to give specified closed loop responses, or to satisfy classical guidelines for stability. By contrast, the design of discrete optimal stochastic controllers is not based on considerations such as stability, frequency response, or dead‐time compensation properties, but rather on optimizing some criterion of performance such as the output error variance. Therefore, it is of interest to investigate how these controllers behave with respect to some of the more traditional ways of evaluating or designing controllers. In this paper, both intuitive and theoretical arguments are presented to illustrate the very desirable properties of these controllers and their relationship to many other algorithms. In particular, they are shown to contain proportional‐integral‐derivative terms and to be related to other well‐known controllers, to have optimal compensation for process dead‐time and optimal filtering properties, and to have very desirable stability and frequency response characteristics. In this sense, the paper provides a unifying overview of univariate stochastic controllers.

publication date

  • June 1982