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Optimal tuning of FOPID controller for higher order process using hybrid approach

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Abstract

This paper proposes an optimal tuning of fractional order proportional integral derivative (FOPID) controller for higher order process using hybrid approach. The proposed hybrid approach is the joint execution of Dynamic Differential Annealed Optimization (DDAO) and Feedback Artificial tree (FAT) algorithm, hence it is named D2AOFAT approach. The FOPID controller parameters like kp, ki, kd, λ andμ. The FOPID controller parameters errors are minimized and predict the optimal parameters by the FAT algorithm. Based on FOPID controller parameters using FAT algorithm, the DDAO optimizes the FOPID controller parameters. The FOPID controller advantage is adjusted to accomplish that needed responses that are resolute with FAT theory and RDF parameters are predictable using DDAO technique. The purpose of the proposed control system is selected in light of the achieved parameters of time delay system (TDS). The proposed technique is carried out in MATLAB / Simulink, its performance is compared to the existing techniques, like Ziegler-Nichols fit, Curve Fit, Wang method, and IWLQR method.

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Data availability statement

Data sharing is not apply to this article because no new data were developed or investigated in this study.

Code availability

None.

Abbreviations

RDFA:

Random Decision Forest Algorithm.

ACFO:

Advanced Cuttlefish Optimizer.

ACORDF:

Advanced Cuttlefish Optimizer and Random Decision Forest.

ZN:

Ziegler-Nichols.

CF:

Curve Fitting.

FOPI:

Fractional Order Proportional Integral.

NMSS:

Non-minimal State Space.

PFC:

Predictive Functional Control.

FC:

Fractional-Order.

CFA:

Cuttlefish algorithm.

FAT:

Feedback Artificial tree.

OOB:

Out of Bag.

NMSS-FOPFC:

Non-minimal state space Predictive functional control Fractional-order.

PSO:

Particle Swarm Optimization.

FOPID:

Fractional order proportional-integrator-derivative.

IAE:

Integral absolute error.

ITAE:

Integral time absolute error.

ITSE:

Integral time squared error.

SMC:

Sliding mode control.

PV:

Process variable.

RMSE:

Root mean square error.

DDAO:

Dynamic Differential Annealed Optimization.

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Authors and Affiliations

  1. Department of Applied Electronics and Instrumentation, Mount Zion College of Engineering, Kadammanitta, Kerala, India

    Thomas George

  2. Department of Electrical and Telecommunication Engineering, Sathyabama University, Chennai, India

    V. Ganesan

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  1. Thomas George
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Correspondence to Thomas George.

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George, T., Ganesan, V. Optimal tuning of FOPID controller for higher order process using hybrid approach. Appl Intell 52, 15345–15367 (2022). https://doi.org/10.1007/s10489-022-03167-2

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