Research PaperNo Access

Design of Lagrangian-Based FOPID Controller for Desired Closed Loop System

Amit Kumar Sahoo

https://orcid.org/0000-0003-1234-0750

Department of Electrical and Electronics Engineering, Centurion University of Technology and Management, Odisha, India

E-mail Address: amitsahoo.id@gmail.com

Corresponding author.

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and

Sudhansu Kumar Mishra

Department of Electrical and Electronics Engineering, Birla Institute of Technology, Mesra, Ranchi, India

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https://doi.org/10.1142/S021812662150064XCited by:5 (Source: Crossref)

Abstract

In this paper, Lagrangian-based method has been proposed for tuning the parameters of fractional order $P I^{α} D^{β}$ controller. In this method, the five parameters ( $K_{p}$ , $K_{i}$ , $K_{d}$ , $α$ and $β$ ) of fractional order $P I^{α} D^{β}$ controller (FOPID) are suitably optimized, and successfully applied to a benchmark stable second-order feedback system. To prove the performance of the proposed method, several state-of-the-art approaches were compared. The computational complexity, robustness and stability analysis has been performed to investigate the performance of all these algorithms. Moreover, the precision and flexibility analysis among all these approaches has also been carried out in this paper. The closed loop response of the second-order bench mark stable plant in Simulink has also been depicted in this paper.

This paper was recommended by Regional Editor Tongquan Wei.

Keywords:

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