Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays

Soorki, Mojtaba Naderi; Tavazoei, Mohammad Saleh

doi:10.1080/00207179.2015.1125019

Cited by 6 publications

(10 citation statements)

References 23 publications

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“…Also, the weight of the edge between the ith and jth agents is expressed by w i j ≥ 0. This weight can be considered a scale of the power of information transmission in the desired link [35]. We express the graph with its adjacency matrix W as follows:…”

Section: Model Of Agentsmentioning

confidence: 99%

“…Another concept closely related to the definition of consensus and with numerous applications is synchronization among MAS. Synchronization refers to achieving consensus only on some of the state variables of the agents [35,36]. To provide a definition, when consensus is reached on a specific number of state variables for each agent, denoted as (5) (consensus on j number of the state variables of each agent where j ∈ {1, 2, …, d}), it is called synchronization [35,36].…”

Section: Model Of Agentsmentioning

confidence: 99%

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Hybrid finite‐time fault‐tolerant consensus control of non‐linear fractional order multi‐agent systems based on fault detection and estimation

Nazifi,

Pourgholi

2024

IET Control Theory & Appl

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This paper addresses the problem of achieving finite‐time fault‐tolerant consensus control for a class of non‐linear fractional‐order multi‐agent systems (NFO‐MAS) using finite‐time fault detection and estimation, as well as a finite‐time state observer. To achieve this, a specific lemma is utilized to rewrite the high‐order model of NFO‐MAS as a lower‐order NFO unique system. By employing new identification rules and introducing a fault estimation method, both the state variables and faults of the agents are estimated within a finite time. Subsequently, a finite‐time sliding mode control law is designed based on the estimated fault and the state variables obtained from the proposed finite‐time observer to achieve consensus within a finite time for the fractional‐order non‐linear MAS. The stability of the fault estimation, state observer, and consensus controller is proven using the finite‐time Lyapunov theory. The effectiveness of the proposed approach is demonstrated through numerical simulations.

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Section: Model Of Agentsmentioning

confidence: 99%

Section: Model Of Agentsmentioning

confidence: 99%

Hybrid finite‐time fault‐tolerant consensus control of non‐linear fractional order multi‐agent systems based on fault detection and estimation

Nazifi,

Pourgholi

2024

IET Control Theory & Appl

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“…Synchronization phenomena were observed in di erent elds, such as synchronization of oscillators, swarms of birds, schools of sh, and robot rendezvous [1][2][3][4][5]. Synchronization is one of the fundamental aspects of selforganization in networks of systems.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the above studies, especially by [24], this paper considers the distributed weighted consensus problem for multiagent systems with general continuoustime linear dynamics. e main contributions of this paper are listed as follows: (1) We first propose weighted consensus problem, which generalizes the concept of conventional consensus to weighted consensus case. e conventional, bipartite, and cluster consensus problems can be unified in our given weighted consensus frame.…”

Section: Introductionmentioning

confidence: 99%

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Weighted Consensus Problem for Multiagent Systems with Edge‐ and Node‐Weighted Directed Graphs

et al. 2019

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In this paper, the concept of consensus is generalized to weighted consensus, by which the conventional consensus, the bipartite consensus, and the cluster consensus problems can be unified in the proposed weighted consensus frame. The dynamics of agents are modeled by the general linear time-invariant systems. The interaction topology is modeled by edge- and node-weighted directed graphs. Under both state feedback and output feedback control strategies, the weighted consensus problems are transformed into the equivalent conventional consensus problems. Then, some distributed state feedback and output feedback protocols are proposed to solve the weighted consensus problems. For output feedback case, a unified frame to construct the state-observer-based weighted consensus protocols is proposed, and different design approaches are discussed. As special cases, some related results for bipartite consensus and cluster consensus can be obtained directly. Finally, a simple example is given to illustrate the effectiveness of our proposed approaches.

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Providing robust-adaptive fractional-order sliding mode control in hybrid adaptive cruise control systems in the presence of model uncertainties and external disturbances

Sheykhi

Gholizade‐Narm

2022

Int. J. Dynam. Control

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Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays

Cited by 6 publications

References 23 publications

Hybrid finite‐time fault‐tolerant consensus control of non‐linear fractional order multi‐agent systems based on fault detection and estimation

Hybrid finite‐time fault‐tolerant consensus control of non‐linear fractional order multi‐agent systems based on fault detection and estimation

Weighted Consensus Problem for Multiagent Systems with Edge‐ and Node‐Weighted Directed Graphs

Providing robust-adaptive fractional-order sliding mode control in hybrid adaptive cruise control systems in the presence of model uncertainties and external disturbances

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