Survey on the Recent Design and Tuning Approaches for model-free Fuzzy PID/PI Controllers

Document Type : Original Article

Authors

1 Mohagheg Ardabili University

2 Sakarya University

3 Islamic Azad University, Mahmudabad branch, Mahmudabad, Iran

4 University of Tabriz

Abstract

Proportional–Integral–Derivative (PID) controllers have been widely used in industrial systems due to their simple structure and ease of implementation. However, because the parameters of classical PID controllers are fixed, uncertainties, nonlinearities, and variations in system dynamics may degrade their control performance. To address these limitations, fuzzy logic systems (FLSs) have been incorporated into PID controllers to enhance adaptability and robustness without requiring an accurate mathematical model of the controlled plant. This paper presents a comprehensive survey of model-free fuzzy PID and PI control approaches. In particular, two widely used architectures, fuzzy gain scheduling PID (FGPID) and fuzzy PID (FPID) controllers, are reviewed and analyzed. Different implementations of these controllers based on type-1 fuzzy logic systems (T1FLS), interval type-2 fuzzy logic systems (IT2FLS), and general type-2 fuzzy logic systems (GT2FLS) are discussed. Furthermore, various tuning strategies for fuzzy parameters, including analytical methods, gradient-based learning, and evolutionary optimization algorithms, are examined. The challenges associated with parameter tuning and closed-loop stability analysis are also highlighted. The survey provides a structured overview of recent developments and identifies open research directions for improving the design, stability, and practical implementation of fuzzy PID controllers in complex nonlinear systems.

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