Dual-stage periodic event-triggered output-feedback control for linear systems.

Area of Science:

• Control Engineering
• Systems Theory
• Networked Control Systems

Background:

• Event-triggered control reduces communication load compared to traditional periodic control.
• Existing methods like PETC and SETC have limitations in flexibility and performance.
• Unified frameworks are needed to optimize control strategies for networked systems.

Purpose of the Study:

• To propose a novel dual-stage periodic event-triggered control (DSPETC) framework.
• To unify periodic event-triggered control (PETC) and switching event-triggered control (SETC) into a single scheme.
• To analyze the stability of the DSPETC framework for switched systems, considering network delays.

Main Methods:

• Introduced two period parameters, h1 (sampling period) and h2 (monitoring period), for the event-triggering rule.
• Represented the controlled system as a switched system model.
• Employed a switching-time-dependent Lyapunov functional for stability analysis.
• Investigated system stability with and without network-induced delays.

Main Results:

• The DSPETC framework successfully unifies PETC and SETC by adjusting the h2 parameter.
• Stability analysis confirmed the effectiveness of the Lyapunov functional for switched systems.
• Simulation and experimental results validated the superiority of DSPETC over PETC and SETC.

Conclusions:

• The proposed DSPETC framework offers a more flexible and superior approach to event-triggered control.
• DSPETC effectively manages system stability in the presence of network-induced delays.
• This unified approach enhances control performance and reduces communication overhead in networked systems.