Event-Triggered Almost Output Regulation for Switched T-S Fuzzy Systems.

Area of Science:

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

Background:

• Switched T-S fuzzy systems present challenges in achieving robust control.
• Resource conservation is critical in modern control applications, necessitating efficient communication strategies.

Purpose of the Study:

• To investigate the event-triggered (ET) almost output regulation (ETAOR) for switched T-S fuzzy (T-SF) systems.
• To develop an ET mechanism and controller that conserve communication resources.
• To ensure both output regulation (OR) and $L_{2}$ gain characteristics.

Main Methods:

• Design of an ET mechanism and an ET switched fuzzy feedback controller.
• Transformation of the ETAOR problem into an ET $H_{\infty}$ control problem.
• Utilization of the multiple Lyapunov functions approach for stability analysis.
• Exclusion of Zeno behavior in the ET control design.

Main Results:

• A solvability condition for the ETAOR issue in switched T-SF systems is established, applicable to both switched and nonswitched systems.
• The proposed ET control method effectively addresses the ETAOR problem.
• The developed approach conserves communication resources without compromising system performance.

Conclusions:

• The proposed event-triggered control strategy provides an effective solution for almost output regulation in switched T-S fuzzy systems.
• The method conserves communication resources and guarantees system stability, confirmed by a practical aero-engine case study.