Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism

Reliable Quantized Fuzzy Controller Design for Nonlinear Singularly Perturbed Systems With Markovian Jumps and Dynamic Event Triggered Mechanism

This paper proposes a novel approach to handling random actuator failures in control systems through robust and reliable control techniques. The investigation seeks to establish a framework for assessing the <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ <...

Full description

Saved in:
Bibliographic Details
Main Authors: Rabeh Abbassi, Mourad Kchaou, Hamdi Gassara, Houssem Jerbi
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Markov jump singularly perturbed systems
CBDETM
quantization
reliable control
Online Access:https://ieeexplore.ieee.org/document/10848099/
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes a novel approach to handling random actuator failures in control systems through robust and reliable control techniques. The investigation seeks to establish a framework for assessing the <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ </tex-math></inline-formula> stability characteristics of nonlinear Markov jump singularly perturbed systems (MJSPSs) using an output Takagi-Sugeno (TS) fuzzy-based controller. The study focuses on implementing a component-based dynamic event-triggered mechanism (CBDETM), including quantization, to investigate the transmission of the outputs across networked communication channels. The proposed approach is based on the following key attributes: 1) An event-triggered mechanism that establishes a suitable condition for independent signal transmission from each sensor node to the controller; 2) A stochastic failure model that describes actuator failures; 3) A non-stationary Markov chain that reflects the asynchronous relationship between the system and controller modes; 4) A mode-dependent Lyapunov function is used to establish sufficient conditions to show that the resultant closed-loop system is stochastically mean-square stable with a <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula> level of <inline-formula> <tex-math notation="LaTeX">$ l_{2}-l_{\infty } $ </tex-math></inline-formula> performance index; 5) The theoretical findings are validated by a real numerical example of the Van Der Pol circuit, confirming the effectiveness of the proposed strategy.
ISSN:2169-3536

Similar Items