Event-triggered H_∞ filtering of discrete-time switched linear systems

Area of Science:

• Control Systems Engineering
• Networked Systems
• Signal Processing

Background:

• Event-triggered control systems reduce communication load.
• Switched linear systems present challenges due to mode changes.
• H_∞ filtering aims to minimize disturbance effects.

Purpose of the Study:

• To address the event-triggered H_∞ filtering problem for discrete-time switched linear systems.
• To model and compensate for asynchronous switching between the filter and system.
• To develop a design method for filters and event-triggering parameters.

Main Methods:

• Modeling the filtering error system using a merging switching signal technique.
• Employing the multiple Lyapunov function method to derive stability conditions.
• Utilizing linear matrix inequalities (LMIs) for filter and parameter design.

Main Results:

• A new sufficient condition for exponential asymptotic stability and weighted H_∞ performance of the filtering error system.
• A systematic design method for the event-triggered H_∞ filter and parameters.
• Demonstrated effectiveness through numerical simulations.

Conclusions:

• The proposed event-triggered H_∞ filtering approach effectively handles asynchronous switching in discrete-time switched linear systems.
• The LMI-based design provides a practical method for implementing such filters.
• The approach ensures both system stability and desired H_∞ performance metrics.