Non-fragile sampled data control for stabilization of non-linear multi-agent system with additive time varying delays, Markovian jump and uncertain parameters

Ali, M. Syed; Agalya, R.; Shekher, Vineet; Joo, Young Hoon

doi:10.1016/j.nahs.2019.100830

Cited by 17 publications

(3 citation statements)

References 28 publications

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“…Definition (Reference 9) For any initial conditions, the consensus of MAS (2) is considered to be realized asymptotically in mean square, if the following equality is satisfied:

\lim_{t \to \infty} 𝔼 {{‖ r_{i} (t) - r_{j} (t) ‖}^{2}} = 0, \forall i, j = 1, 2, \dots, N .

…”

Section: Preliminaries and Problem Statementsmentioning

confidence: 99%

“…Over the past decade, the research on the consensus of multiagent systems (MASs) has enormously attracted the attention of many scholars due to its wide range of applications in unmanned aerial vehicles, sensor networks, power systems, and so on 1‐9 . The consensus problem of MASs is fundamental and important, aiming to design a distributed control protocol which only utilizes the interaction of local information between neighboring agents to achieve the global consensus.…”

Section: Introductionmentioning

confidence: 99%

“…so on. [1][2][3][4][5][6][7][8][9] The consensus problem of MASs is fundamental and important, aiming to design a distributed control protocol which only utilizes the interaction of local information between neighboring agents to achieve the global consensus. With the in-depth research on the consensus issue, a multitude of results have emerged.…”

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confidence: 99%

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Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control

Han

Zhong

Wang

et al. 2022

Intl J Robust & Nonlinear

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This paper focuses on the consensus issue of nonlinear multiagent systems (MASs) with intrinsic time-varying delays via the nonfragile and aperiodic memory sampled-data control scheme. An improved continuous Lyapunov-Krasovskii functional (LKF) with some two-sided looped-functional terms is introduced, in which several free-weighting-matrices are not necessarily positive definite. Furthermore, based on the property of Laplacian matrix, the consensus issue of original MASs can be investigated directly without transforming into error systems. Then, several sufficient criteria for the consensus of MASs are presented by means of the recently developed generalized integral inequality and the constructed LKF. Next, the required nonfragile controller gain is obtained by resorting to linear matrix inequalities and the maximal length of sampling period is derived as well. Finally, two illustrative examples are employed to exhibit the effectiveness and feasibility of the proposed consensus protocol.

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“…Definition (Reference 9) For any initial conditions, the consensus of MAS (2) is considered to be realized asymptotically in mean square, if the following equality is satisfied:

\lim_{t \to \infty} 𝔼 {{‖ r_{i} (t) - r_{j} (t) ‖}^{2}} = 0, \forall i, j = 1, 2, \dots, N .

…”

Section: Preliminaries and Problem Statementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control

Han

Zhong

Wang

et al. 2022

Intl J Robust & Nonlinear

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Reliable controller for nonlinear multiagent system with additive time varying delay and nonlinear actuator faults

Ali

Agalya

Priya³

et al. 2021

Math Methods in App Sciences

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In this paper, the problem of nonlinear multiagent system with reliable control is taken into account. The prescribed system consists of additive time-varying delay, actuator faults with both linear and nonlinear functions. The main focus of this paper is to design a reliable control which guarantees the stability and consensus condition of the proposed system. Actuator faults with linear and nonlinear functions are considered in the control input. From the implementation of integral inequality, the linear matrix inequality format is derived by constructing the suitable Lyapunov Krasovskii functional for the specified system. Terminally numerical examples are furnished for the efficiency of the specified method.

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Mixed Time-Delayed Nonlinear Multi-agent Dynamic Systems for Asymptotic Stability and Non-fragile Synchronization Criteria

Stephen

Raja

Alzabut

et al. 2021

Neural Process Lett

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Non-fragile sampled data control for stabilization of non-linear multi-agent system with additive time varying delays, Markovian jump and uncertain parameters

Cited by 17 publications

References 28 publications

Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control

Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control

Reliable controller for nonlinear multiagent system with additive time varying delay and nonlinear actuator faults

Mixed Time-Delayed Nonlinear Multi-agent Dynamic Systems for Asymptotic Stability and Non-fragile Synchronization Criteria

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