Optimum design of fractional order PID controller for AVR system using chaotic ant swarm |
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Authors: | Yinggan Tang Mingyong CuiChangchun Hua Lixiang Li Yixian Yang |
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Affiliation: | a Key Lab of Industrial Computer Control Engineering of Hebei Province, Yanshan University, Qinhuangdao, Hebei 066004, China b Research Center on Fictitious Economy and Data Science, Chinese Academy of Sciences, Beijing 100190, China c National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Qinhuangdao, Hebei 066004, China d Information Security Center, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract: | Fractional-order PID (FOPID) controller is a generalization of standard PID controller using fractional calculus. Compared to PID controller, the tuning of FOPID is more complex and remains a challenge problem. This paper focuses on the design of FOPID controller using chaotic ant swarm (CAS) optimization method. The tuning of FOPID controller is formulated as a nonlinear optimization problem, in which the objective function is composed of overshoot, steady-state error, raising time and settling time. CAS algorithm, a newly developed evolutionary algorithm inspired by the chaotic behavior of individual ant and the self-organization of ant swarm, is used as the optimizer to search the best parameters of FOPID controller. The designed CAS-FOPID controller is applied to an automatic regulator voltage (AVR) system. Numerous numerical simulations and comparisons with other FOPID/PID controllers show that the CAS-FOPID controller can not only ensure good control performance with respect to reference input but also improve the system robustness with respect to model uncertainties. |
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Keywords: | Fractional PID controller Optimal control Chaotic ant swarm AVR system |
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