Periodic event-triggered dynamic output feedback control for networked control systems subject to packet dropouts

Area of Science:

• Control Systems Engineering
• Networked Control Systems (NCSs)
• Hybrid Systems

Background:

• Networked control systems (NCSs) face challenges with packet dropouts, impacting stability and performance.
• Existing methods may not efficiently balance communication resource usage and system complexity.

Purpose of the Study:

• To propose a co-design method for dynamic output feedback control laws and periodic event-triggered control (PETC) strategies.
• To tolerate a maximum allowable number of successive packet dropouts (MANSDs) in NCSs.
• To optimize communication resource usage and reduce transmission implementation complexity.

Main Methods:

• Development of a periodic event-triggering mechanism (PETM) where triggering conditions are monitored at specific instants.
• Modeling the closed-loop system as a hybrid system using a dropout variable to account for packet losses.
• Utilizing a novel Lyapunov function and stability theorems for hybrid systems to derive co-design stability conditions.

Main Results:

• Explicit design parameters for the controller and triggering conditions are presented.
• The proposed method ensures L2 stability for the networked control system.
• Demonstrated effectiveness through two illustrative examples.

Conclusions:

• The co-design of dynamic output feedback control and PETC effectively tolerates packet dropouts in NCSs.
• The PETM offers a practical approach to managing communication resources.
• The presented stability conditions and design parameters provide a robust framework for NCS design.