Optimum Design of Fractional Order Pid Controller Using Chaotic Firefly Algorithms for a Control CSTR System

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 be...

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Bibliographic Details
Published in:Asian journal of control 2019-09, Vol.21 (5), p.2245-2255
Main Authors: Alamdar Ravari, Mahdieh, Yaghoobi, Mahdi
Format: Article
Language:English
Subjects:
Algorithms
chaos
Computer simulation
Control stability
Control systems design
Controllers
CSTR
Differential calculus
firefly algorithm
Fractional calculus
fractional order PID
Heuristic methods
intelligence algorithms
Local optimization
Performance evaluation
PID controller
Process controls
Proportional integral derivative
Stability analysis
Systems stability
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Summary: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.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.1836