An Aperiodic-Sampling-Dependent Event-Triggered Control Strategy for Interval Type-2 Fuzzy Systems: New Communication...

Area of Science:

• Control Systems Engineering
• Fuzzy Logic Systems
• Nonlinear Control Theory

Background:

• Event-triggered control reduces communication load in control systems.
• Interval Type-2 (IT2) fuzzy systems offer enhanced uncertainty handling.
• Aperiodic sampling introduces challenges in control design.

Purpose of the Study:

• To develop an advanced event-triggered control scheme for IT2 fuzzy systems under aperiodic sampling.
• To improve control effectiveness and reduce conservativeness in stability criteria.
• To propose a flexible and robust control strategy adaptable to predictable and unpredictable sampling intervals.

Main Methods:

• Design of an aperiodic-sampling-dependent event-triggered communication scheme.
• Introduction of an improved sampling-dependent discontinuous functional incorporating matrix variables and a discontinuous term.
• Development of weighting matrices dependent on sampling intervals for enhanced flexibility.
• Stability and stabilization analysis using the designed functional and control scheme.

Main Results:

• The proposed scheme achieves superior event-triggered control performance compared to existing methods.
• The event-triggered strategy demonstrates improved flexibility by adapting to sampling interval predictability.
• The introduced functional effectively reduces conservativeness in stability and stabilization criteria.
• Validation through two distinct examples showcasing theoretical effectiveness and parameter advantages.

Conclusions:

• The developed aperiodic-sampling-dependent event-triggered control strategy offers significant improvements for IT2 fuzzy systems.
• The proposed method provides a more flexible and less conservative approach to event-triggered control design.
• The findings contribute to advancing the field of intelligent control systems with practical implications.