Tracking consensus for stochastic hybrid multi‐agent systems with partly unknown transition rates via sliding mode control

Mu, Xiaomin; Wu, Xihui

doi:10.1049/iet-cta.2019.0782

Cited by 9 publications

(5 citation statements)

References 40 publications

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“…Remark In References 8 and 39 related to sliding mode consensus for MAS, asymptotic or exponential stability is demonstrated, which is on an infinite time scale and may be less applicable in practical situations. With reference to Reference 31, terminal sliding surface (8) is constructed, which ensures the consensus for MAS within a fixed time, therefore sliding surface (8) is more reasonable to some extent.…”

Section: Preliminariesmentioning

confidence: 99%

Fixed‐time sliding mode consensus tracking for second‐order nonlinear multi‐agent system with persistent dwell‐time switching topologies

Wang,

Liu

2024

Intl J Robust & Nonlinear

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This article investigates the problem of fixed‐time sliding mode consensus tracking for nonlinear second‐order multi‐agent system, in the presence of disturbances and actuator attacks. The interaction topology graph of multi‐agent system is directed and switched, and the switching topologies satisfy a more general persistent dwell‐time switching mechanism. To account for the disturbances, actuator attack, and switching topologies, a nonsingular sliding mode control law with distributed switching scheme is constructed to guarantee the fixed‐time reachability to a sliding surface. By using multiple Lyapunov functions, some new sufficient criteria are derived for fixed‐time consensus tracking of the multi‐agent system with persistent dwell‐time switching topologies. To illustrate the proposed approach, we present a numerical example and a physical example of the single pendulum model.

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Section: Preliminariesmentioning

confidence: 99%

Fixed‐time sliding mode consensus tracking for second‐order nonlinear multi‐agent system with persistent dwell‐time switching topologies

Wang,

Liu

2024

Intl J Robust & Nonlinear

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“…Recently, due to the benefit of high scalability and low computing consumption, coordinated control of MASs has received considerable attention in various aeries, for example, unmanned aerial vehicles (UAVs) [1,2], satellite systems [3][4][5][6], and underactuated surface vessels [7]. Moreover, its research fields can be classified into different categories, for instance, consensus control approach [8][9][10][11][12][13], formation control problem [14][15][16][17][18], containment control approach [19][20][21][22], and formation-containment control approach [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Predefined formation‐containment control of high‐order multi‐agent systems under communication delays and switching topologies

Zhou

Dong

Hua

et al. 2021

IET Control Theory & Appl

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This paper concerns the problem of formation-containment control for general-linear multi-agent systems (MASs) with both communication delays and switching interaction topologies. On the one hand, the leaders can communicate with each other to form the desired formation and on the other, the followers need to enter the convex envelope spanned by the multiple leaders. Firstly, by using the neighbouring relative information, formation-containment protocols are designed for each leader and follower, where an edge-based state observer is incorporated into the formation-containment controller to evaluate the whole leaders' state. Secondly, according to the linear matrix inequality technology, an algorithm is given to determine the unknown feedback matrixes in the protocol. Then, based on Lyapunov theory, the formation-containment error is proved to be convergent and formation feasibility conditions are also presented for the MASs to achieve formation-containment. Finally, a simulation on several MASs is provided to demonstrate the theoretical results. 1Recently, due to the benefit of high scalability and low computing consumption, coordinated control of MASs has received considerable attention in various aeries, for example, unmanned aerial vehicles (UAVs) [1, 2], satellite systems [3-6], and underactuated surface vessels [7]. Moreover, its research fields can be classified into different categories, for instance, consensus control approach [8-13], formation control problem [14-18], containment control approach [19][20][21][22], and formation-containment control approach [23][24][25][26].This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…With development of stochastic stability theory and its application in networks systems, consensus problem of networks systems has been paid to attention from many disciplines as well recently. A lot of results have been reported such as [18][19][20][21]. Specially, as an application of finite/fixed-time stability of stochastic systems, based on results in [13], fixed-time stabilisation problem of stochastic nonlinear system was investigated in [22,23].…”

Section: Introductionmentioning

confidence: 99%

Fixed‐time stability of stochastic nonlinear systems and its application into stochastic multi‐agent systems

Yan

2020

IET Control Theory & Appl

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The paper devotes to study fixed‐time stability of stochastic nonlinear systems and fixed‐time consensus of stochastic multi‐agent systems (SMASs). Firstly, a new fixed‐time stability theorem is established and a high‐precise estimation of settling time is provided. Secondly, as an application, the fixed‐time consensus problem of SMASs is discussed in virtue of the established theorem. A new class of fixed‐time nonlinear consensus protocols with stochastic perturbation is designed by employing the neighbour's information. Based on graph theory, matrix theory and fixed‐time stability theorem, we prove that fixed‐time consensus of SMASs is achieved under the designed protocol. Moreover, some sufficient conditions are proposed to guarantee fixed‐time consensus of SMAS. It is shown that the settling time is not only independent of the initial conditions, but also it has higher precise. In the end, three numerical examples are provided to illustrate correctness of our theoretical results.

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Tracking consensus for stochastic hybrid multi‐agent systems with partly unknown transition rates via sliding mode control

Cited by 9 publications

References 40 publications

Fixed‐time sliding mode consensus tracking for second‐order nonlinear multi‐agent system with persistent dwell‐time switching topologies

Fixed‐time sliding mode consensus tracking for second‐order nonlinear multi‐agent system with persistent dwell‐time switching topologies

Predefined formation‐containment control of high‐order multi‐agent systems under communication delays and switching topologies

Fixed‐time stability of stochastic nonlinear systems and its application into stochastic multi‐agent systems

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