Dynamic output feedback controller design for affine T-S fuzzy systems with quantized measurements

Area of Science:

• Control Systems Engineering
• Fuzzy Logic Systems
• Signal Processing

Background:

• Affine Takagi-Sugeno (T-S) fuzzy systems are widely used for modeling complex nonlinear systems.
• Quantized measurements introduce uncertainties and challenges in control system design.
• Dynamic output feedback control is crucial for systems where not all states are directly measurable.

Purpose of the Study:

• To develop a novel dynamic output feedback control strategy for affine T-S fuzzy systems with quantized measurements.
• To address and mitigate the effects of quantization errors on control performance.
• To guarantee an H-infinity norm bound constraint for the closed-loop system.

Main Methods:

• Utilizing the S-procedure to account for unmatched regions caused by quantization errors during control synthesis.
• Designing a piecewise dynamic output feedback controller.
• Formulating a new design condition for the controller.

Main Results:

• The proposed control design effectively reduces the worst-case peak output resulting from quantization errors.
• The controller guarantees an H-infinity norm bound constraint, ensuring system stability and performance.
• The derived design condition offers improved steady-state performance compared to existing methods.
• The new approach results in a reduced computational burden.

Conclusions:

• The developed piecewise dynamic output feedback control is effective for affine T-S fuzzy systems with quantized measurements.
• The method provides superior performance and efficiency over existing techniques.
• This research contributes a valuable tool for robust control design in the presence of measurement quantization.