A design method of fractional order PIλDμ controller for higher order systems

A model reduction method and an explicit fractional order (FO) PI λ D μ controller tuning rule are proposed for higher order systems. In this paper, at first, Cuckoo Search (CS) algorithm is used for approximating higher order system to obtain a desired fractional order plus time-delay (FOPTD) model...

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Bibliographic Details
Published in2015 34th Chinese Control Conference (CCC) pp. 272 - 277
Main Authors Wang Hui-fang, He Qiu-sheng, Zhao Zhi-cheng, Zhang Jing-gang
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 01.07.2015
Subjects
Cuckoo search
fractional order PI λ D μ controller
internal model control
Mathematical model
Optimization
Reduced order systems
Robustness
Sensitivity
Simulation
Tuning
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Summary:A model reduction method and an explicit fractional order (FO) PI λ D μ controller tuning rule are proposed for higher order systems. In this paper, at first, Cuckoo Search (CS) algorithm is used for approximating higher order system to obtain a desired fractional order plus time-delay (FOPTD) model. Then, a kind of fractional PID controller is derived, which is based on the internal model control (IMC) principle by approximating the time-delay term of the system model with the first order Padé series. Finally, the analytical expression for robust tuning of the controller parameter is developed according to the maximum sensitivity index. Simulation studies are carried out on various types of process dynamics and the results show that the proposed model reduction method and FO PI λ D μ controller tuning rule could provide a better dynamic performance of both the set-point tracking and disturbance rejection and robustness against parameters perturbation.
ISSN:1934-1768
DOI:10.1109/ChiCC.2015.7259649