Reliable filtering with strict dissipativity for T-S fuzzy time-delay systems

Area of Science:

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

Background:

• Discrete-time Takagi-Sugeno (T-S) fuzzy systems are widely used to model complex nonlinear dynamics.
• Time delays and sensor failures can significantly degrade system performance and stability.
• Ensuring strict dissipativity is essential for guaranteeing robust performance and stability margins.

Purpose of the Study:

• To investigate the reliable filter design problem for discrete-time T-S fuzzy time-delay systems.
• To ensure strict dissipativity for the filtering error system, even in the presence of sensor failures.
• To develop a systematic approach for designing such reliable filters.

Main Methods:

• Utilizing the reciprocally convex approach for reliable dissipativity analysis.
• Developing sufficient conditions for dissipativity in T-S fuzzy systems with time-varying delays and sensor failures.
• Designing a reliable filter by formulating and solving a convex optimization problem.

Main Results:

• A novel sufficient condition for reliable dissipativity analysis of T-S fuzzy systems with time-varying delays and sensor failures is established.
• A reliable filter ensuring strict dissipativity for the filtering error system is successfully designed.
• The proposed filter design can be efficiently solved using standard numerical optimization algorithms.

Conclusions:

• The developed techniques provide an effective solution for reliable filter design in discrete-time T-S fuzzy time-delay systems.
• The proposed method guarantees strict dissipativity, enhancing system robustness against time delays and sensor failures.
• Numerical examples validate the effectiveness and practical applicability of the proposed reliable filter design approach.