Robust $H_{\infty }$ Self-Triggered Control of Networked Systems Under Packet Dropouts

Area of Science:

• Control Systems Engineering
• Networked Systems Theory
• Robust Control

Background:

• Networked systems face challenges like parameter uncertainties, packet dropouts, and stochastic time delays.
• Existing control strategies struggle with guaranteed stability under these conditions.

Purpose of the Study:

• To develop a robust H_∞ self-triggered control scheme for networked systems.
• To ensure system stability despite parameter uncertainties, packet dropouts, and stochastic time delays.

Main Methods:

• A novel self-triggered control strategy is proposed, predicting the next control task.
• The predicted event interval is equally divided to manage packet dropouts.
• An uncertain algebraic Riccati equation and comparison principle are used to develop the triggered condition.

Main Results:

• The proposed triggered condition guarantees the stability of the uncertain sampled system.
• The effectiveness of the self-triggered control scheme is demonstrated through an inverted pendulum example.

Conclusions:

• The developed self-triggered control effectively addresses uncertainties and packet dropouts in networked systems.
• The approach provides a robust solution for maintaining stability in complex systems.