Co-Design and Evolutionary Optimization of Periodic Event-Triggered Robust Control for LPV Systems

Networked control systems (NCSs) play an important role in Industry 4.0 and the Internet of Things (IoT), offering benefits such as operational cost reduction, energy efficiency, and architectural flexibility. However, communication constraints, including limited bandwidth and delays, present challenges to closed-loop stability and performance. Event-triggered control (ETC) has emerged as a solution to optimize network usage while ensuring stability. This work focuses on the co-design of periodic event-triggered robust controllers for linear parameter-varying (LPV) systems to ensure the stabilization of the closed-loop system. Utilizing parameter-dependent looped-functionals, second-order polynomial negativeness, and Pólya’s theorem, LMI-based stability conditions are developed under a static event-triggered mechanism (ETM) structure. A differential evolution algorithm is introduced to reduce control signal updates compared to convex optimization procedures. Numerical validation demonstrates the effectiveness of the proposed approach, highlighting its advantages over existing methods.