Conception de correcteur d’ordre fractionnaire pour régulateur automatique de tension AVR

Abstract

In this work, the main objective is the design of fractional order controllers for an automatic voltage regulator (AVR) system based on fractional order operators and systems in order to improve its performances and robustness compared to the classical controllers. The design strategies of the proposed fractional controllers for the AVR system are based on fractional transfer functions such that Bode’s ideal transfer function and fractional order damped sinus function. These strategies use also the internal model control IMC with fractional order model as well as a technique called "fractionalization" which consists in raising a PID corrector to a real power. An analytical adjustment technique of the fractional PIλDμ controller has also been used for the AVR system leading to a fractional PDλDμ controller which does not exist in the classic form. Illustrative examples for each fractional controller designed were presented and the obtained results were very satisfactory and the performances improvement and the AVR system robustness compared to conventional controllers were realized.