Further Study on Stabilization for Continuous-Time Takagi-Sugeno Fuzzy Systems With Time Delay

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Analysis
• Fuzzy Logic Control

Background:

• Existing switching methods for membership function derivatives assume finite switching times, potentially leading to conservative results.
• The need for robust control strategies that do not rely on finite switching time assumptions is critical for broader applicability.

Purpose of the Study:

• To extend existing switching methods by removing the finite switching time assumption.
• To ensure system stability using the average dwell-time (ADT) switching technique.
• To develop an algorithm for determining optimal switching controller gains.

Main Methods:

• Application of the average dwell-time (ADT) switching technique to analyze system stability without finite switching time constraints.
• Development of a novel algorithm for computing switching controller gains.
• Extensive simulations to validate the proposed control strategy.

Main Results:

• The proposed ADT switching method successfully guarantees system stability even with an infinite number of switching instances.
• The developed algorithm provides effective switching controller gains.
• Simulation results confirm the superior performance and reduced conservatism compared to previous methods.

Conclusions:

• The average dwell-time (ADT) switching technique offers a more general and less conservative approach to controlling systems with time derivatives of membership functions.
• The developed algorithm and control strategy are effective and validated through simulations, advancing the field of robust control.