Event-Triggered Dynamic Output Feedback Control for Switched Singular Systems With Asynchronous Switching

This manuscript investigates the output-based event-triggered control problem for switched singular systems via the dynamic output feedback controller. To enhance communication efficiency and reduce transmission load, a discrete-time event-triggered scheme based on the output is proposed. Considering the asynchronous switching between the system and the controller due to the event-triggered conditions, the closed-loop system (CLS) is formulated by incorporating an augmented switching signal through the signal merging method. By utilizing the mode-dependent Lyapunov function method and the average dwell time (ADT) technique, sufficient criteria are established to ensure the CLS be regular, impulse-free and E-uniformly ultimately bounded (E-UUB). Additionally, by employing an improved matrix decoupling approach, solvable linear matrix inequality (LMI) conditions are derived, and the co-design strategies for controller gains and event-triggered scheme parameters are presented. Finally, two examples are provided to demonstrate the advantages of the proposed approaches. Note to Practitioners-Switched singular systems are widely applied in current engineering applications, such as power grids, robotics, and intelligent transportation. In network transmission, simultaneous data transmission from a large number of nodes can lead to network delays and packet losses, subsequently degrading system performance and potentially causing instability. By reducing the number of control task executions, event-triggered control can improve communication efficiency. However, event-triggered conditions usually give rise to asynchronous switching between controller and system, which is rarely considered in existing results. Therefore, this paper considers the dynamic output feedback control problem for switched singular systems and proposes an output-based event-triggered control strategy, taking into account the impact of asynchronous switching. Finally, the advantages of the approaches are verified through a circuit example and a numerical example.