Output Feedback Control for Fuzzy Singularly Perturbed Systems Under Nonuniform Sampling

Area of Science:

• Control Systems Engineering
• Fuzzy Logic Systems
• Discrete-Time Systems

Background:

• Singularly perturbed systems present challenges due to slow and fast dynamics.
• Nonuniform sampling and round-robin protocols introduce complexities in control design.
• Output feedback control is crucial when full state information is unavailable.

Purpose of the Study:

• To design an output feedback controller for discrete-time fuzzy singularly perturbed systems.
• To address challenges posed by nonuniform sampling and round-robin protocols.
• To ensure the stochastic stability of the closed-loop system.

Main Methods:

• Modeling nonuniform sampling using nonhomogeneous sojourn probabilities.
• Developing a token-dependent static output feedback controller.
• Deriving sufficient conditions for stochastic stability.

Main Results:

• A novel framework for modeling nonuniform sampling periods is proposed.
• An effective output feedback controller is designed for complex system dynamics.
• Stochastic stability of the closed-loop system is guaranteed under proposed conditions.

Conclusions:

• The proposed control strategy effectively manages discrete-time fuzzy singularly perturbed systems.
• The method provides a robust solution for systems with nonuniform sampling and round-robin protocols.
• Simulation results validate the theoretical approach and demonstrate practical applicability.