Special Issue: ICCAS 2024

International Journal of Control, Automation, and Systems 2025; 23(2): 572-580

https://doi.org/10.1007/s12555-024-0552-6

© The International Journal of Control, Automation, and Systems

Stabilization Criterion for Continuous-time T-S Fuzzy Delayed Systems Subject to Asynchronous Fuzzy Phenomenon via Non-PDC Scheme

Ngoc Hoai An Nguyen and Sung Hyun Kim*

University of Ulsan

Abstract

Focusing on a non-parallel distributed compensation (non-PDC) control scheme, this paper aims to derive a stabilization criterion for continuous-time Takagi-Sugeno (T-S) fuzzy delayed systems in the presence of the asynchronous fuzzy phenomenon. To achieve this goal, the paper presents a scheme for formulating fuzzy-dependent stabilization conditions that can handle delayed states, aiming to obtain less conservative performance and reduce computational complexity. Specifically, a control synthesis method is derived that is capable of designing both the free-weighting matrix and the congruent transformation matrix, relying on the asynchronous fuzzy basis function. Furthermore, the asynchronous fuzzy phenomenon is addressed by transforming the asynchronous fuzzy basis functions into the errors between the original and asynchronous fuzzy basis functions, and incorporating these errors into the fuzzy-dependent stabilization criterion.

Keywords Asynchronous phenomena, fuzzy basis functions, non-PDC scheme, T-S fuzzy delayed systems.

Article

Special Issue: ICCAS 2024

International Journal of Control, Automation, and Systems 2025; 23(2): 572-580

Published online February 1, 2025 https://doi.org/10.1007/s12555-024-0552-6

Copyright © The International Journal of Control, Automation, and Systems.

Stabilization Criterion for Continuous-time T-S Fuzzy Delayed Systems Subject to Asynchronous Fuzzy Phenomenon via Non-PDC Scheme

Ngoc Hoai An Nguyen and Sung Hyun Kim*

University of Ulsan

Abstract

Focusing on a non-parallel distributed compensation (non-PDC) control scheme, this paper aims to derive a stabilization criterion for continuous-time Takagi-Sugeno (T-S) fuzzy delayed systems in the presence of the asynchronous fuzzy phenomenon. To achieve this goal, the paper presents a scheme for formulating fuzzy-dependent stabilization conditions that can handle delayed states, aiming to obtain less conservative performance and reduce computational complexity. Specifically, a control synthesis method is derived that is capable of designing both the free-weighting matrix and the congruent transformation matrix, relying on the asynchronous fuzzy basis function. Furthermore, the asynchronous fuzzy phenomenon is addressed by transforming the asynchronous fuzzy basis functions into the errors between the original and asynchronous fuzzy basis functions, and incorporating these errors into the fuzzy-dependent stabilization criterion.

Keywords: Asynchronous phenomena, fuzzy basis functions, non-PDC scheme, T-S fuzzy delayed systems.

IJCAS
February 2025

Vol. 23, No. 2, pp. 359~682

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pISSN 1598-6446