H_∞ Control for a Class of Two-Time-Scale Cyber-Physical Systems: An Asynchronous Dynamic Event-Triggered Protocol.

Area of Science:

• Control Systems Engineering
• Cyber-Physical Systems
• Networked Control Systems

Background:

• Two-time-scale cyber-physical systems (TTSCPSs) present unique challenges in control design due to differing dynamics.
• Traditional control methods can lead to high network bandwidth usage and computational burden.
• Event-triggered control strategies are crucial for efficient resource management in TTSCPSs.

Purpose of the Study:

• To design an asynchronous dynamic event-triggered protocol (ADETP) for TTSCPSs.
• To develop a composite controller that guarantees asymptotic stability and H∞ performance.
• To reduce network bandwidth occupation and computational load.

Main Methods:

• Design of an asynchronous dynamic event-triggered protocol (ADETP) with separate triggering for fast and slow components.
• Development of a novel composite controller dependent on the singular perturbation parameter (SPP).
• Parameterization of controller gain matrices using solvable matrix inequalities.

Main Results:

• The proposed ADETP effectively reduces network bandwidth and computation.
• The designed composite controller ensures closed-loop TTSCPS asymptotic stability.
• The H∞ performance index is met for the TTSCPS under the specified conditions.
• Simulation on a nuclear reactor model validates the approach's effectiveness.

Conclusions:

• The ADETP and composite controller provide an efficient and stable control solution for TTSCPSs.
• The method is effective in managing network resources for complex systems.
• The approach is validated through practical simulations, demonstrating its applicability.