Structural Robustness to Noise in Consensus Networks: Impact of Degrees and Distances, Fundamental Limits, and Extremal Graphs

Yazcoglu, Yasin; Abbas, Waseem; Shabbir, Mudassir

doi:10.1109/tac.2020.3035731

Cited by 4 publications

(1 citation statement)

References 30 publications

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“…The controller designed in this paper is a robust adaptive sliding-mode fault-tolerant controller, where the issue of robustness (Lou et al , 2020; Yazicioglu et al , 2020) is closely related to the relative stability of the control system (Shafiei and Shenton, 1999; Gostev and Kunakh, 2006) (a performance index characterizing the stability threshold of the control system in the frequency domain) and the invariance principle (Lee and Jhi, 1999; Zhou et al , 2009) (a theory in automatic control theory that studies the effect of stifling and eliminating disturbances on the control system), which, in a broad sense, refers to the survival stability of the system (Liu and Zhong, 2020; Steinberger and Horn, 2021), and the stability of the system is a fundamental prerequisite. Robust adaptive control (Wang et al , 2019a; Sachan and Padhi, 2019) is an important nonlinear control technique, the traditional feedback control system for the system internal characteristics of the change or external disturbance although also has a certain suppression ability because the controller parameters are fixed, when the internal characteristics of the system changes or external disturbance are very large, the stability of the system cannot be guaranteed, the control algorithm has a certain self-adaptation ability, which can continuously identify and adjust the system parameters according to the input and output data of the system, and make the model of the system closer and closer to the actual situation through online identification and estimation of parameters, and with the continuous improvement of the model, the control inputs acting on the system also change accordingly, which reflects the learning ability of the control algorithm.…”

Section: Introductionmentioning

confidence: 99%

Research on robust adaptive sliding film fault-tolerant control under nonlinear distortion of signal transmission in amorphous flat air-to-ground wireless ad-hoc network system

Wang

Lin

2022

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Purpose To solve the above problems and ensure the stability of the ad hoc network node topology in the process of wireless signal transmission, this paper aims to design a robust adaptive sliding film fault-tolerant controller under the nonlinear distortion of signal transmission in an amorphous flat air-to-ground wireless ad hoc network system. Design/methodology/approach This paper designs a robust adaptive sliding film fault-tolerant controller under the nonlinear distortion of signal transmission in an amorphous flat air-to-ground wireless ad hoc network system. Findings The simulation results show that the amorphous flat wireless self-organizing network system has good nonlinear distortion fault-tolerant correction ability under the feedback control of the designed controller, and the system has the asymptotically stable convergence ability; the test results show: the node topology of the self-organizing network structural stability is significantly improved, which provides a foundation for the subsequent realization of long-distance transmission of ad hoc network nodes. Research limitations/implications Because of the chosen research approach, the research results may lack generalizability. Therefore, researchers are encouraged to test the proposed propositions further. Originality/value The controller can extract the fault information caused by nonlinear distortion in the wireless signal transmission process, and at the same time, its feedback matrix K can gradually converge the generated wireless signal error to zero, to realize the stable transmission of the wireless signal.

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Section: Introductionmentioning

confidence: 99%

Research on robust adaptive sliding film fault-tolerant control under nonlinear distortion of signal transmission in amorphous flat air-to-ground wireless ad-hoc network system

Wang

Lin

2022

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Controllability Gramian-based measures of graph product networks

Xiang,

Xiang

2024

Sci. China Inf. Sci.

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Balancing Agility and Communication: Denser Networks Require Faster Agents

Huang,

de Oliveira,

Murugan

et al. 2023

IEEE Open J. Control. Syst.

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This paper delves into the challenges of ensuring stability (in some sense) and robustness in large-scale second-order consensus networks (SOCNs) and autonomous vehicle platoons in the discrete-time domain. We propose a graph-theoretic methodology for designing a state feedback law for these systems in a discrete-time framework. By analyzing the behavior of the solutions of the networks based on the algebraic properties of the Laplacian matrices of the underlying graphs and on the value of the update cycle (also known as the time step) of each vehicle, we provide a necessary and sufficient condition for the stability of a linear second-order consensus network in the discrete-time domain. We then perform an H 2 -based robustness analysis to demonstrate the relationship between the H 2 -norm of the system, network size, connectivity, and update cycles, providing insights into how these factors impact the convergence and robustness of the system. A key contribution of this work is the development of a formal framework for understanding the link between an H 2 -based performance measure and the restrictions on the update cycle of the vehicles. Specifically, we show that denser networks (i.e., networks with more communication links) might require faster agents (i.e., smaller update cycles) to outperform or achieve the same level of robustness as sparse networks (i.e., networks with fewer communication links) -see Figure 1. These findings have important implications for the design and implementation of large-scale consensus networks and autonomous vehicle platoons, highlighting the need for a balance between network density and update cycle speed for optimal performance. We finish the paper with results from simulations and experiments that illustrate the effectiveness of the proposed framework in predicting the behavior of vehicle platoons, even for more complex agents with nonlinear dynamics, using Quanser's Qlabs and Qcars.

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Structural Robustness to Noise in Consensus Networks: Impact of Degrees and Distances, Fundamental Limits, and Extremal Graphs

Cited by 4 publications

References 30 publications

Research on robust adaptive sliding film fault-tolerant control under nonlinear distortion of signal transmission in amorphous flat air-to-ground wireless ad-hoc network system

Research on robust adaptive sliding film fault-tolerant control under nonlinear distortion of signal transmission in amorphous flat air-to-ground wireless ad-hoc network system

Controllability Gramian-based measures of graph product networks

Balancing Agility and Communication: Denser Networks Require Faster Agents

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