Distributed H_∞ Filtering for Switched Stochastic Delayed Systems Over Sensor Networks With Fading Measurements

Area of Science:

• Control Systems Engineering
• Networked Systems
• Stochastic Systems

Background:

• Switched stochastic time-delay systems are prevalent in real-world applications.
• Fading measurements and mode-dependent network topologies introduce significant challenges.
• Existing filtering methods struggle with transcendental equations and complex system dynamics.

Purpose of the Study:

• To design a distributed H∞ filter for switched stochastic time-delay systems with fading measurements.
• To ensure mean-square exponential stability and H∞ disturbance attenuation.
• To develop a computationally efficient filtering design avoiding transcendental equations.

Main Methods:

• Utilizing the multiple Lyapunov functional approach and average dwell-time concept.
• Employing a convex optimization scheme for filter design.
• Developing a novel algebraic technique to simplify the design process.

Main Results:

• A distributed H∞ filter is successfully designed for the complex system class.
• The filter guarantees mean-square exponential stability of the estimation error dynamics.
• A prescribed H∞ disturbance attenuation level is achieved.

Conclusions:

• The proposed filtering method is effective for switched stochastic time-delay systems with fading measurements.
• The developed technique offers a computationally advantageous alternative to existing methods.
• The results are validated through a numerical example demonstrating practical applicability.