Performance Evaluation of Fractional Proportional–Integral–Derivative Controllers Tuned by Heuristic Algorithms for Nonlinear Interconnected Tanks

Author:

Pazmiño Raúl1ORCID,Pavon Wilson2ORCID,Armstrong Matthew3ORCID,Simani Silvio4ORCID

Affiliation:

1. Automation and Control Postgraduate Program, Universidad Politécnica Salesiana, Quito 170525, Ecuador

2. Electronics Engineering, Universidad Politécnica Salesiana, Quito 170525, Ecuador

3. School of Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, UK

4. Dipartimento di Ingegneria, Università degli Studi di Ferrara, 35-44121 Ferrara, Italy

Abstract

This article presents an in-depth analysis of three advanced strategies to tune fractional PID (FOPID) controllers for a nonlinear system of interconnected tanks, simulated using MATLAB. The study focuses on evaluating the performance characteristics of system responses controlled by FOPID controllers tuned through three heuristic algorithms: Ant Colony Optimization (ACO), Grey Wolf Optimizer (GWO), and Flower Pollination Algorithm (FPA). Each algorithm aims to minimize its respective cost function using various performance metrics. The nonlinear model was linearized around an equilibrium point using Taylor Series expansion and Laplace transforms to facilitate control. The FPA algorithm performed better with the lowest Integral Square Error (ISE) criterion value (297.83) and faster convergence in constant values and fractional orders. This comprehensive evaluation underscores the importance of selecting the appropriate tuning strategy and performance index, demonstrating that the FPA provides the most efficient and robust tuning for FOPID controllers in nonlinear systems. The results highlight the efficacy of meta-heuristic algorithms in optimizing complex control systems, providing valuable insights for future research and practical applications, thereby contributing to the advancement of control systems engineering.

Funder

Universidad Politécnica Salesiana

Publisher

MDPI AG

Reference29 articles.

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