Design of TID controller based on firefly algorithm for controlling the speed of a D.C. Motor

Govind Kumar Rajput,Abhishek Gautam,Anand Tiwari,Adesh Yadav,Naladi Ram Babu,Ajay Kumar,Tirumalasetty Chiranjeevi,S Tummala,S Singh,S Kosaraju,P Bobba

doi:10.1051/e3sconf/202018401038

Govind Kumar Rajput, Abhishek Gautam + Show 9 more

Open Access

https://doi.org/10.1051/e3sconf/202018401038

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Abstract

Implementation of tilt integral derivative (TID) controller for controlling the speed of a D.C. Motor using meta heuristic nature inspired algorithm named by firefly algorithm (FA) is proposed in this paper. By using FA based optimization technique, we have tuned TID controller parameters. Further, comparative analysis has been done with FA based conventional PID and fractional order PID (FOPID) controllers. The performance of TID is investigated in terms of various performance indices like integral of square error (ISE), integral of time-weighted absolute error (ITAE), integral of absolute error (IAE) and integral of time-weighted square error (ITSE). Investigation carried out reveals the advantage of TID over conventional PID and FOPID in terms of reduced settling time and performance indices.

Highlights

Fractional calculus (FC) is a division of mathematics that deals with the fractional order (FO) integrals and derivatives
Many integer order PID controller designs are available in literature but very few works available in literature related to fractional order PID (FOPID) controllers by using various optimization algorithms like Genetic Algorithm [17,18,19,20], Cuckoo search [21], Bee Colony optimization technique [22,23], Grey Wolf optimization technique [24]
In this work we have proposed tilt integral derivative (TID) controller design by using meta heuristic nature inspired algorithm named by firefly algorithm (FA)

Summary

Introduction

Fractional calculus (FC) is a division of mathematics that deals with the fractional order (FO) integrals and derivatives. It is the generalization of integer order calculus. This subject is initiated over 300 years ago. For controlling the speed of a D.C. Motor, So many integer order PID controller designs are available in literature but very few works available in literature related to FOPID controllers by using various optimization algorithms like Genetic Algorithm [17,18,19,20], Cuckoo search [21], Bee Colony optimization technique [22,23], Grey Wolf optimization technique [24]. Thereafter, TID controller performance has been investigated in terms of various performance indices like ISE, ITAE, ITSE and IAE

System under investigation

TID controller

Firefly algorithm

Results and discussion

System response comparison with various performance index criteria

Conclusion