Abstract
It is well accepted that fractional-order calculus yields a more accurate description of complex physical processes compared to integer-order one. So, fractional-order modelling is getting a good attention in the process industry. On the other hand, to meet design goals accurately, control designers prefer fractional-order controllers over integer-order ones due to the availability of more parameters. However, the design of such controllers are complex. More often, the design faces the challenge in real-time implementations, and the problem is circumvented by higher order approximations of fractional-order operators. In the presented work, three methods for integer-order Proportional–Integral–Derivative (PID) controller design are proposed based on Frequency Loop-Shaping (FLS) and Internal Model Control (IMC). To prove the efficacy of the presented control law, simulations are conducted and included along with a performance measure based on ISE (Integral of Square Error), ITAE (Integral of Time Absolute Error) and IAE (Integral of Absolute Error).
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
![](/cms/asset/d45550a4-4808-4263-913f-870847bd30c9/tijr_a_2367048_ilg0001.gif)
Sudipta Chakraborty
Sudipta Chakraborty obtained his BTech degree in electronics and instrumentation engineering from WBUT, India in 2012. After this, he received his MTech degree from the National Institute of Technology Rourkela, India in 2014. In 2018, he was awarded a PhD degree in electrical engineering from the same institute. He is currently working as an assistant professor in the Department of Electronics and Instrumentation Engineering, National Institute of Technology Silchar, India. Corresponding author. Email: [email protected]
![](/cms/asset/8dda572a-40df-4734-aec7-60cd73ad83ff/tijr_a_2367048_ilg0002.gif)
Dipjyoti Das
Dipjyoti Das obtained his BTech degree in electronics and instrumentation engineering from the National Institute of Technology Silchar, India in 2017. After this, he received his MTech degree from Sant Longowal Institute of Engineering and Technology, Punjab, India in 2020. Currently, he is pursuing his PhD in electronics and instrumentation engineering from the National Institute of Technology Silchar, India. Email: [email protected]
![](/cms/asset/45b5d66f-41e7-4819-b01a-d1dc976cee4a/tijr_a_2367048_ilg0003.gif)
Asim K. Naskar
Asim K Naskar obtained his BTech degree in electrical engineering from Jadavpur University, India in 2001. After this, he received his MTech degree from the same Institute in 2006. In 2015, he was awarded with PhD degree in electrical engineering from the Indian Institute of Technology, Kharagpur, India. He is currently working as an assistant professor in the Department of Electrical Engineering, National Institute of Technology, Rourkela, India. Email: [email protected]
![](/cms/asset/202a406e-15aa-401e-b713-2456221dc4cc/tijr_a_2367048_ilg0004.gif)
Sandip Ghosh
Sandip Ghosh obtained his BTech degree in electrical engineering from the Indian Institute of Engineering Science and Technology Shibpur, India in 1999. After this, he received his MTech degree from Jadavpur University, India in 2003. In 2010, he was awarded PhD degree in electrical engineering from the Indian Institute of Technology, Kharagpur, India. He is currently working as an associate professor in the Department of Electrical Engineering, Indian Institute of Technology, BHU, India. Email: [email protected]