Distributed finite‐time optimisation algorithm for second‐order multi‐agent systems subject to mismatched disturbances

Wang, Xiangyu; Wang, Guodong

doi:10.1049/iet-cta.2020.0901

Cited by 15 publications

(2 citation statements)

References 49 publications

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“…On the basis of this, some scholars have investigated the integral terminal sliding mode control method with the deepening of theoretical research (He et al, 2022). By using the homogeneous method (Wang and Wang, 2020;Zheng and Wang, 2019) and the finite-time Lyapunov stability theorem (Guo et al, 2017;Zong et al, 2018) (which are two main verification methods for finite-time control) simultaneously, the finite-time control law that can deal with external disturbances and input saturation was investigated through integral terminal sliding mode method (Guo et al, 2019a(Guo et al, , 2019b. However, the phenomenon that chattering which is caused by the sign function exists in the system response.…”

Section: Introductionmentioning

confidence: 99%

Adaptive full-order sliding mode bounded attitude control for spacecraft formation flying with event-triggered communication

et al. 2023

Transactions of the Institute of Measurement and Control

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This paper provides an event-triggered finite-time adaptive bounded controller for attitude tracking of spacecraft formation flying under external disturbances and limited communication. To facilitate the realization of bounded control, a novel full-order terminal sliding mode surface is established according to the hyperbolic tangent function. To reduce the communication frequency among formation members, an event-triggered control strategy that can converge to zero in finite time is investigated based on the full-order sliding mode surface. Under the proposed control strategy, the spacecraft only send their information to neighboring spacecraft when the trigger error exceeds the defined threshold. Rigorous theoretical analysis provides that finite-time convergence and Zeno-free are achieved under the proposed controller. Finally, numerical simulations are exhibited to illustrate the effectiveness of the proposed control law.

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Section: Introductionmentioning

confidence: 99%

Adaptive full-order sliding mode bounded attitude control for spacecraft formation flying with event-triggered communication

et al. 2023

Transactions of the Institute of Measurement and Control

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“…Cao [22] proposed a distributed event-triggered control strategy to ensure consensus in MASs within a certain period of time. The authors of [23] investigated the distributed finite-time consensus problem for a class of second-order MASs under bounded perturbations and provided a continuous homogeneous finite-time consensus protocol based on nominal multiple agents. However, the multi-agent models studied in these works ignore nonlinear dynamics and disturbance factors.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered H-infinity finite-time consensus control for nonlinear second-order multi-agent systems with disturbances

Luo

Zhu

2021

Adv Differ Equ

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The study considers the problem of finite-time event-triggered H-infinity consensus for second-order multi-agent systems (MASs) with intrinsic nonlinear dynamics and external bounded disturbances. Based on the designed triggering function, a distributed event-triggered control strategy is presented on the basis of the designed triggering function to ensure consensus in the system, which effectively reduces the data transmission. Then, sufficient conditions for the finite-time consensus with H-infinity performance level of the resulting event-triggered MAS are derived by utilizing the Lyapunov function and finite-time stability theory. Furthermore, Zeno behavior is proven to be excluded under the proposed event-triggered scheme. Finally, the validity of the proposed results is verified by numerical simulation.

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Distributed Optimization on Matrix‐Weighted Networks

Cui,

Ji,

Liu

et al. 2024

Optim Control Appl Methods

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This article is intended to tackle the optimization problems for continuous‐time first‐order and second‐order multi‐agent systems (MASs) operating over matrix‐weighted networks. A matrix‐weighted network serves as a powerful framework to model the interdependence among agents' multidimensional states, providing an effective approach to analyze smart grids, intelligent transportation systems, and so forth. Our optimization objective is to facilitate the convergence of all agents toward the optimal value of a global cost function, which is formed by a sum of local cost functions. To achieve this goal, distributed optimization algorithms based on Hessian matrix and gradient information are constructed. Additionally, an edge‐based event‐triggered mechanism is utilized to avoid communicating with all neighbors at the time of event triggering. It is proved that this mechanism theoretically excludes Zeno behavior. The results show that the proposed algorithms ensure that the agents can achieve the optimization goal while reducing energy consumption. Finally, an application is presented to substantiate the theoretical results.

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Distributed finite‐time optimisation algorithm for second‐order multi‐agent systems subject to mismatched disturbances

Cited by 15 publications

References 49 publications

Adaptive full-order sliding mode bounded attitude control for spacecraft formation flying with event-triggered communication

Adaptive full-order sliding mode bounded attitude control for spacecraft formation flying with event-triggered communication

Event-triggered H-infinity finite-time consensus control for nonlinear second-order multi-agent systems with disturbances

Distributed Optimization on Matrix‐Weighted Networks

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