Hybrid state observer-based event-triggered control for switched linear systems with quantized input

The paper investigates the design of hybrid state observer-based event-triggered controller for switched linear systems subject to quantized input and unknown but bounded additional disturbance and measurement noise. Firstly, by introducing a hybrid state observer and constructing a mode-dependent event-triggered mechanism, we design event-triggered controller for the considered switched linear systems. Then, by modeling the closed-loop system as an augmented asynchronous switched time-delay system, we deal with the asynchronous control problem caused by the switching between two consecutive trigger instants for the switched linear system. Thirdly, based on merging signal technique and multiple Lyapunov functional method, we obtain the sufficient criteria to guarantee the stability of the switched system when the switching signal meets an average dwell time condition, and further establish the hybrid observer-based event-triggered controller gains. Finally, a simulation example illustrates the validity of the results. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

The paper investigates the design of hybrid state observer-based event-triggered controller for switched linear systems subject to quantized input and unknown but bounded additional disturbance and measurement noise. The study introduces a hybrid state observer and constructs a mode-dependent event-triggered mechanism to design controllers for the considered systems, addressing asynchronous control problems caused by switching. Criteria for system stability and establishment of controller gains are obtained through merging signal technique and multiple Lyapunov functional method, with simulation example illustrating the validity of the results.