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This paper deals with the problem of designing the PIλDμ-type controllers for minimum-phase fractional systems of rational order. In such systems, the powers of the Laplace variable, s, are limited to rational numbers. Unlike many existing methods that use numerical optimisation algorithms, the proposed method is based on an analytic approach and avoids complicated numerical calculations. The method...
This paper presents optimal design of controllers of the general type of proportional-integrating-derivative (PID) for achieving optimal tracking of a constant or slow-changing set-point. The design method is developed for the first- and second-order plants (with or without zero) in which only an output signal is used for the feedback. A generalization of the proposed method for higher-order plants...
Application of fractional order PID (FOPID) controller to an automatic voltage regulator (AVR) is presented and studied in this paper. An FOPID is a PID whose derivative and integral orders are fractional numbers rather than integers. Design stage of such a controller consists of determining five parameters. This paper employs particle swarm optimization (PSO) algorithm to carry out the aforementioned...
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