Decentralized event-triggered output feedback control for a class of interconnected large-scale systems

Area of Science:

• Control Theory
• Systems Engineering
• Robotics

Background:

• Large-scale systems often face challenges with unknown interconnections, complicating control design.
• Decentralized control is crucial for managing complex systems where global information is unavailable.
• Event-triggered control strategies aim to reduce communication and computation load by only updating when necessary.

Purpose of the Study:

• To develop a decentralized event-triggered dynamic output feedback control for large-scale systems with unknown interconnections.
• To ensure asymptotic stability and a prescribed H∞ performance for the closed-loop system.
• To provide a method for simultaneously designing controller gains and event-triggered parameters.

Main Methods:

• A modified cyclic-small-gain condition is employed to establish stability criteria.
• A free-matrix-based integral inequality is introduced to derive novel sufficient conditions.
• Convex optimization techniques are used for the simultaneous design of controller gains and event-triggered parameters.

Main Results:

• A novel sufficient condition for asymptotic stability with H∞ performance is derived.
• The proposed method is applicable to large-scale systems with unmatched unknown interconnections.
• The controller and event-triggered parameters are designed simultaneously using a convex condition.

Conclusions:

• The developed event-triggered control strategy effectively addresses stability and performance for complex large-scale systems.
• The approach handles unknown and unmatched interconnections, offering broader applicability.
• Demonstrated effectiveness on a double-inverted pendulum model validates the proposed control method.