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Analysis of direct action fuzzy PID controller structures.

G I Mann¹, B G Hu, R G Gosine

¹Fac. of Eng. & Appl. Sci., Memorial Univ. of Newfoundland, St. John's, Nfld.

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society

|February 7, 2008

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This study simplifies fuzzy PID controller design by analyzing various structures and proposing new rule-based approaches. New rule decoupled and one-input rule structures offer improved flexibility and functionality over conventional designs.

Area of Science:

Control Systems Engineering
Computational Intelligence
Automation

Background:

Fuzzy PID controllers are widely researched, often based on Mamdani's two-input PI/PD type (1974).
Designing fuzzy PID controllers remains complex due to numerous parameters in fuzzy rule bases.
Existing structures can be inflexible and difficult to tune.

Purpose of the Study:

To investigate and compare different fuzzy PID controller structures.
To develop analytical procedures for understanding fuzzy PID actions.
To propose novel fuzzy PID structures with enhanced flexibility and functionality.

Main Methods:

Analysis of Mamdani-type and other fuzzy PID structures.
Development of a closed-form solution for three-input fuzzy inference.

Related Experiment Videos

Definition of a linear-like fuzzy controller for analysis.

Two-level tuning approach for nonlinear and linear gains.

Main Results:

A closed-form solution was derived for three-input fuzzy inference, enabling analysis of PID actions.
The study identified the effects of nonlinearity tuning in single-input-single-output systems.
New rule decoupled and one-input rule structures were proposed.
These novel structures demonstrated greater flexibility and better functional properties.

Conclusions:

Fuzzy PID controller design can be simplified through structured analysis and novel rule formulations.
The proposed rule decoupled and one-input rule structures outperform conventional designs.
This research offers a more flexible and functionally superior approach to fuzzy PID control.