Fractional Order Internal Mode Control Proportional Integral Derivative (FOIMCPID) Controller Fed Design for Depth Control of Autonomous Underwater Vehicle

International Journal of Electrical and Electronics Engineering
© 2023 by SSRG - IJEEE Journal
Volume 10 Issue 11
Year of Publication : 2023
Authors : Linkan Priyadarsini, Shubhasri Kundu, Manoj Kumar Maharana
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Linkan Priyadarsini, Shubhasri Kundu, Manoj Kumar Maharana, "Fractional Order Internal Mode Control Proportional Integral Derivative (FOIMCPID) Controller Fed Design for Depth Control of Autonomous Underwater Vehicle," SSRG International Journal of Electrical and Electronics Engineering, vol. 10,  no. 11, pp. 68-75, 2023. Crossref, https://doi.org/10.14445/23488379/IJEEE-V10I11P107

Abstract:

Autonomous Underwater Vehicles (AUVs) can replace humans in dangerous situations and have many applications due to their endurance, stealthiness, intelligence, and versatility. Many studies have focused on developing better motion control systems for AUVs so that the vehicles can remain steady despite the waves. The present research focuses on developing a controller for regulating the depth of an Autonomous Underwater Vehicle (AUV). The proposed controller uses the Fractional Order-based Internal Mode Control Proportional Integral Derivative (FOIMCPID) technique. In this research, we suggest implementing a Fractional-Order Proportional Integer Derivative (FOPID) controller into an AUV motion control system. It improves the standard PID controller by boosting the value of two tuning parameters. This study uses Internal Model Control (IMC) to tune the Fractional Order Controllers class. This tuning rule was developed without using any time delay approximations. A similar-tuned industrial PID controller and FOPID are compared to demonstrate the value of fractional order controllers compared to traditional integer order controllers. After that, the robust stability of both controllers is examined in controlling the heading angle of Autonomous Underwater Vehicles (AUVs).

Keywords:

AUV, FOPID, IMC, FOIMCPID, Controller, Fractional Order.

References:

[1] V. Upadhyay et al., “Design and Motion Control of Autonomous Underwater Vehicle, Amogh,” 2015 IEEE Underwater Technology (UT), India, pp. 1-9, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Qi B. Jin, and Q. Liu, “IMC-PID Design Based on Model Matching Approach and Closed-Loop Shaping,” ISA Transactions, vol. 53, no. 2, pp. 462-473, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Sukhman Kaur, Sumeet Sagar, and Swati Sondhi, “Internal Model Control Based Fractional Order PID Controller for Knee Joint Motion,” 2016 11th International Conference on Industrial and Information Systems (ICIIS), India, pp. 318-322, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Qing Wang, Changhou Lu, and Wei Pan, “IMC PID Controller Tuning for Stable and Unstable Processes with Time Delay,” Chemical Engineering Research and Design, vol. 105, pp. 120-129, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Xin-She Yang, “Firefly Algorithm, Stochastic Test Functions and Design Optimisation,” International Journal of Bio-Inspired Computation, vol. 2, no. 2, pp. 78-84, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[6] R.A. Krohling, and J.P. Rey, “Design of Optimal Disturbance Rejection PID Controllers Using Genetic Algorithms,” IEEE Transactions on Evolutionary Computation, vol. 5, no. 1, pp. 78-82, 2001.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Soroush Vahid, and Kaveh Javanmard, “Modeling and Control of Autonomous Underwater Vehicle (AUV) in Heading and Depth Attitude via PPD Controller with State Feedback,” International Journal of Coastal, Offshore and Environmental Engineering, vol. 1, no. 4, pp. 11-18, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[8] Dazi Li et al., “Maximum Sensitivity Based Fractional IMC–PID Controller Design for Non-Integer Order System with Time Delay,” Journal of Process Control, vol. 31, pp. 17-29, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Bikramaditya Das, Bidyadhar Subudhi, and Bibhuti Bhusan Pati, “Cooperative Formation Control of Autonomous Underwater Vehicles: An Overview,” International Journal of Automation and Computing, vol. 13, pp. 199-225, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Sneha D. Joshi, and D.B. Talange, “Integer & Fractional Order PID Controller for Fractional Order Subsystems of AUV,” 2013 IEEE Symposium on Industrial Electronics & Applications, Malaysia, pp. 21-26, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Mustafa Wassef Hasan, and Nizar Hadi Abbas, “Controller Design for Underwater Robotic Vehicle Based on Improved Whale Optimization Algorithm,” Bulletin of Electrical Engineering and Informatics, vol. 10, no. 2, pp. 609-618, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Zhao Zhicheng, Wang Huifang, and Zhang Jinggang, “Design of a Fractional Order PID Controller for High-Order Process with Inverse Response,” Journal of Shanghai Jiaotong University, vol. 49, no. 8, pp. 1090-1095, 2015.
[Google Scholar] [Publisher Link]
[13] Pengchong Chen et al., “Optimal Robust Fractional Order PIλD Controller Synthesis for First Order Plus Time Delay Systems,” ISA Transactions, vol. 114, pp. 136-149, 2021.
[CrossRef] [Google Scholar] [Publisher Link]