Journal
ASIAN JOURNAL OF CONTROL
Volume 21, Issue 5, Pages 2245-2255Publisher
WILEY
DOI: 10.1002/asjc.1836
Keywords
CSTR; chaos; fractional order PID; firefly algorithm; intelligence algorithms; PID controller
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A fractional-order PID controller is a generalization of a standard PID controller using fractional calculus. Compared with the standard PID controller, two adjustable variables, differential order and integral order, are added to the PID controller. Fractional-order PID is more flexible, has better responses, and the precise adjustment closed-loop system stability region is larger than that of a classic PID controller. But the design and stability analysis is more complicated than for the PID controller. Therefore, the optimal setting of parameters is very important. A firefly algorithm in standard mode has only local optimization and accuracy is low. In order to fix this flaw an improved chaotic algorithm firefly is proposed for a design controller FOPID. To evaluate the performance of the proposed controller, it has been used in the control of a CSTR system with a variety of fitness functions. Simulations confirm the optimal performance of the proposed controller.
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