T-S fuzzy control of uncertain fractional-order systems with time delay
type: Item
instance of: scholarly article
title: T-S fuzzy control of uncertain fractional-order systems with time delay
zbMATH Open document ID: 1477.93145
DOI: 10.1155/2021/6636882
author: Yilin Hao
author: Xiu-Lan Zhang
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: In this article, the adaptive control of uncertain fractional-order time-delay systems (FOTDSs) with external disturbances is discussed. A Takagi-Sugenu (T-S) fuzzy model with if-then rules is adopted to characterize the dynamic equation of the FOTDS. Besides, a fuzzy adaptive method is proposed to stabilize the model. By utilizing the Lyapunov functions, a robust controller is constructed to stabilize the FOTDS. Due to the uncertainty of system parameters, some fractional-order adaptation laws are designed to update these parameters. At the same time, some if-then rules with linear structure based on the fuzzy T-S adaption concept are established. The designed method not only guarantees that the state of closed-loop system asymptotically converges to origin but also keeps the signal in the FOTDS bounded. Finally, the applicability of the control method is proved by simulation examples.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7393933
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6636882
OpenAlex ID: W3121938625
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description: scientific article; zbMATH DE number 7393933