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A relaxed stability criterion for T-S fuzzy discrete systems
Summary
This study proposes a relaxed stability criterion for Tanaka-Sugeno (T-S) fuzzy discrete systems. It utilizes a weighting dependent Lyapunov function and introduces novel grouping and distance estimation methods for improved stability analysis.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Nonlinear System Analysis
Background:
- Existing stability conditions for T-S fuzzy discrete systems often require a common matrix P or numerous Lyapunov inequalities.
- Weighting dependent Lyapunov functions offer an alternative but can still be conservative.
Purpose of the Study:
- To develop a more relaxed stability criterion for T-S fuzzy discrete systems.
- To reduce the computational burden associated with traditional stability analysis methods.
Main Methods:
- Utilizing a weighting dependent Lyapunov function.
- Applying the concept of firing rule groups.
- Incorporating distance estimation between successive system states.
Main Results:
- A novel, relaxed stability criterion for T-S fuzzy discrete systems is proposed.
- The new criterion potentially offers less conservative stability conditions compared to existing methods.
Conclusions:
- The proposed method provides a less conservative approach to analyzing the stability of T-S fuzzy discrete systems.
- This research contributes to the advancement of fuzzy control theory and its practical applications.