Robust Design of Fuzzy Structured Controllers via a Moving Boundaries Process.

Area of Science:

• Control Engineering
• Fuzzy Systems
• Systems Theory

Background:

• Designing controllers for systems described by uncertain Takagi-Sugeno (T-S) fuzzy models presents significant computational challenges with conventional methods.
• Existing techniques often struggle with the intractability of finding suitable fuzzy structured controllers for these complex systems.

Purpose of the Study:

• To develop a computationally tractable method for designing fuzzy structured controllers for uncertain T-S fuzzy models.
• To address the intractability of conventional controller design techniques for these systems.

Main Methods:

• Utilized a moving boundary process to simplify the design problem.
• Incorporated a robust stability test to ensure system reliability.
• Formulated the design problem as a feasibility problem solvable by the proposed methods.

Main Results:

• Successfully demonstrated a direct and simplified approach to designing fuzzy structured controllers.
• The moving boundary process combined with robust stability testing provides an effective solution.
• Design examples validated the proposed methodology's efficacy.

Conclusions:

• The proposed method offers an efficient and direct solution for designing fuzzy structured controllers for uncertain T-S fuzzy models.
• This approach overcomes the computational intractability associated with traditional design techniques.
• The study provides a practical framework illustrated with design examples.