Input to state stabilization of networked systems under a specified packet dropout rate

Area of Science:

• Control Systems Engineering
• Networked Control Systems (NCSs)
• Cyber-Physical Systems

Background:

• Networked Control Systems (NCSs) are susceptible to performance degradation due to packet dropouts.
• Existing control strategies often do not explicitly account for varying packet dropout rates.
• Characterizing network quality of service (QoS) is crucial for robust NCS design.

Purpose of the Study:

• To develop an input-to-state stabilizing (ISS) control strategy for NCSs considering packet dropouts.
• To establish a framework for designing controllers based on a specified average packet dropout rate (ADR).
• To propose a control and communication co-design method for NCSs.

Main Methods:

• Categorization of transmission intervals into packet-dropout-free and packet-dropout cases.
• Introduction of the Average Packet Dropout Rate (ADR) metric to quantify network QoS.
• Application of a switched systems approach, Lyapunov theory, and input delay methods to derive ISS conditions.
• Controller design using linear matrix inequalities (LMIs).

Main Results:

• Derivation of input-to-state stability (ISS) conditions for NCSs under a specified ADR.
• Development of a controller design method solvable via linear matrix inequalities (LMIs).
• Demonstration of a co-design approach enabling controller gain adjustment based on network QoS.

Conclusions:

• The proposed method effectively designs stabilizing controllers for NCSs with guaranteed input-to-state stability under specified packet dropout rates.
• The control and communication co-design framework allows for optimizing system performance by considering network quality.
• Simulations confirm the effectiveness of the co-design method in self-steering control of autonomous vehicles.