Event-triggered stabilizing control for linear switched singular systems with dynamic quantization

This paper addressed the event-triggered quantization control problem for linear switched singular systems. An improved consistency projector is proposed, which more accurately describes the state jump of the system under the dynamic quantization strategy. Furthermore, a new and more suitable dynamic quantization rule is designed to ensure the states of the singular system still remain within permissible quantization ranges, simultaneously reducing the quantization error and then driving the states toward the origin. Based on the Lyapunov function theory and the average dwell time method, the developed event-triggered dynamic quantization control strategy is proposed. This strategy not only effectively saves communication resources but also guarantees the exponential stability of the closed-loop switched singular systems. The Zeno behavior is proved to be avoidable by introducing a very small positive constant. Finally, the proposed control method is further extended to the output feedback design of the switched singular systems. Simulations of a numerical example and a practical example are provided to demonstrate the validity and practicability of the given methodology.