Adaptive and Exponential Synchronization of Uncertain Fractional-Order T-S Fuzzy Complex Networks With Coupling Time-Varying Delays via Pinning Control Strategy

Xiru Wu,Qingming Ai,Yaonan Wang

doi:10.1109/access.2020.3047114

Xiru Wu, Qingming Ai + Show 1 more

Open Access

https://doi.org/10.1109/access.2020.3047114

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Abstract

This article investigates the adaptive and exponential synchronization problems of fractional-order Takagi-Sugeno (T-S) fuzzy complex networks (FOTSFCN) with coupling time-varying delays and uncertainty. Firstly, the FOTSFCN model is established by embedding T-S fuzzy logic to reduce the complexity and robustness of the FOTSFCN. Secondly, based on the adaptive pinning control strategy, we obtain the asymptotic synchronization and exponential synchronization criteria to achieve synchronous control of FOTSFCN. Furthermore, according to the Lyapunov stability theory, we prove that the FOTSFCN controlled by the proposed controller is robust stable and the effect of coupling time-varying delays and uncertain disturbances on the tracking error can be subsided in view of the linear matrix inequalities (LMIs). Finally, the effectiveness and applicability of the theoretical results are presented through two illustrative examples.

Highlights

In the past decades, complex networks(CNs) have attracted increasing attention due to their application in various fields, such as collaborative decision, bioengineering, signal processing, system identification, etc [1]–[4]
Wu et al.: Adaptive and Exponential Synchronization of Uncertain FOTSFCNs With Coupling Time-Varying Delays considered to approximate the virtual linearized system and a T-S fuzzy-neural controller was designed for the MIMO systems
Motivated by the mentioned discussions, we investigate the adaptive synchronization and exponential synchronization issues for the FOTSFCN with uncertainty and coupling time-varying delays via pinning control strategy

Summary

INTRODUCTION

Complex networks(CNs) have attracted increasing attention due to their application in various fields, such as collaborative decision, bioengineering, signal processing, system identification, etc [1]–[4]. The adaptive synchronization analysis of non-identical CNs with coupling time-varying delays was investigated in [11]. X. Wu et al.: Adaptive and Exponential Synchronization of Uncertain FOTSFCNs With Coupling Time-Varying Delays considered to approximate the virtual linearized system and a T-S fuzzy-neural controller was designed for the MIMO systems. In [25], the fractional-order fault-tolerant controller was designed for the asymptotic synchronization of CNs with stochastic delays. Little literature researched on the pinning control strategy and fractional-order differential theory in T-S fuzzy CNs. the synchronization of FOTSFCN with coupling time-varying delays and uncertainty via adaptive pinning control strategy is practically significant and challenging. Motivated by the mentioned discussions, we investigate the adaptive synchronization and exponential synchronization issues for the FOTSFCN with uncertainty and coupling time-varying delays via pinning control strategy. The synchronization strategies of FOTSFCN are verified by two numerical simulations

PRELIMINARIES

ASYMPTOTIC SYNCHRONIZATION CRITERIA

NUMERICAL SIMULATIONS

CONCLUSION