Zaineb, SMIDA (MIS Laboratory), Gassara, Hamdi (University of Sfax, Tunisia), El Hajjaji, Ahmed (Univ. of Picardie Jules Verne)

Stabilization of Nonlinear Polynomial Fuzzy Systems Based on Event-Triggered-Output-Feedback Polynomial Fuzzy Controller

Scheduled for presentation during the Regular Session "Networked systems" (WeCC), Wednesday, June 11, 2025, 17:30−17:50,

33rd Mediterranean Conference on Control and Automation, June 10-13, 2025, Tangier, Morocco

This information is tentative and subject to change. Compiled on May 9, 2025

Abstract

This paper presents a novel dynamic-event-triggered output-feedback control strategy for stabilizing nonlinear systems represented by polynomial fuzzy models. By incorporating an event-triggering mechanism, the proposed controller significantly reduces unnecessary control updates, thereby lowering computational and communication burdens compared to conventional sampled-data output-feedback controllers. The stability of the closed-loop system is analyzed using a Lyapunov–Krasovskii functional in combination with a sum-of-squares (SOS) optimization framework. The resulting stability conditions ensure asymptotic stability while optimizing resource utilization. Simulation results validate the effectiveness of the proposed method, demonstrating a substantial reduction in control transmissions without sacrificing system stability or performance.