Distributed Fixed-time Formation-containment Control for Multiple Euler-Lagrange Systems with Directed Graphs

Hua, Menghu; Ding, Huafeng; Yao, Xiang‐Yu; Zhang, Xinxin

doi:10.1007/s12555-020-0106-5

Cited by 18 publications

(3 citation statements)

References 40 publications

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“…However, the formation convergence time of finitetime controller is determined by initial states. In order to improve the performance of the quadrotor formation, the fixed-time control is proposed [34][35][36]. In Wang and Li [34], a novel fixed-time controller strategy based on leader-follower mechanism is proposed for surface vehicles formation, and the fixed-time stability is ensured.…”

Section: Introductionmentioning

confidence: 99%

“…In Wang and Li [34], a novel fixed‐time controller strategy based on leader–follower mechanism is proposed for surface vehicles formation, and the fixed‐time stability is ensured. Hua et al [35] proposed a distributed fixed‐time containment control algorithm for followers with its estimated states being tracked in a fixed time. Nevertheless, due to that the upper bound of convergence time is subject to certain restrictions, the convergence time in the fixed‐time control cannot be pre‐assigned arbitrarily.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive prescribed time control for quadrotor formation with stochastic links failure

Shang

Jing

Wang

et al. 2022

Asian Journal of Control

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The formation control for multiple quadrotors subject to maintaining the formation configuration and collision avoidance in the situation of stochastic links failure is investigated in this paper. First, the distributed formation controller is designed, the position controller is developed to manage the desired formation of position, and the attitude controller is developed to control the translation and rotation movements of the quadrotor. Then, in order to avoid the collisions between multiple quadrotors and the obstacles, a potential energy function method is introduced into the quadrotor formation control combined with the nest adaptive control. Inspired by the design of event trigger controller, a communication compensation controller is designed to ensure the stability of quadrotor formation under the condition of random communication interruption and recovery. Moreover, a prescribed time function is designed, which means the convergence time of the formation system can be set in advance. The prescribed time stability of the formation control system is proved by Lyapunov theory. Finally, the simulation results verify the effectiveness and superiority of this method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive prescribed time control for quadrotor formation with stochastic links failure

Shang

Jing

Wang

et al. 2022

Asian Journal of Control

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“…In addition, these centralized optimization methods have privacy of data issues in a competitive environment, increase the business of the main server due to requests from all generating nodes, and have computational issues due to a central facility. Owing to these shortcomings, efforts have been devoted in the recent era to investigate distributed techniques, as observed in [22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

A Novel Distributed Consensus-Based Approach to Solve the Economic Dispatch Problem Incorporating the Valve-Point Effect and Solar Energy Sources

et al. 2022

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This research focused on the design of a distributed approach using consensus theory to find an optimal solution of the economic dispatch problem (EDP) by considering the quadratic cost function along with the valve-point effect of generators and renewable energy systems (RESs). A distributed consensus approach is presented for the optimal economic dispatch under a complex valve-point effect by accounting for solar energy in addition to conventional power plants. By employing the beta distribution function and communication topology between generators, a new optimality condition for the dispatch problem was formulated. A novel distributed updation law for generation by considering the communication between generators was provided to deal with the valve-point effect. The convergence of the proposed updation law was proved analytically using Lyapunov stability and graph theory. An algorithm for ensuring a distributed economic dispatch via conventional power plants, integrated with solar energy, was addressed. To the best of the authors’ knowledge, a distributed nonlinear EDP approach for dealing with the valve-point loading issue via nonlinear incremental costs has been addressed for the first time. The designed approach was simulated for benchmark systems with and without a generation capacity constraint, and the results were compared with the existing centralized and distributed strategies.

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Task-space multiple-bipartite consensus for networked heterogeneous Euler–Lagrange systems via hierarchical predefined-time control algorithm

2023

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Distributed Fixed-time Formation-containment Control for Multiple Euler-Lagrange Systems with Directed Graphs

Cited by 18 publications

References 40 publications

Adaptive prescribed time control for quadrotor formation with stochastic links failure

Adaptive prescribed time control for quadrotor formation with stochastic links failure

A Novel Distributed Consensus-Based Approach to Solve the Economic Dispatch Problem Incorporating the Valve-Point Effect and Solar Energy Sources

Task-space multiple-bipartite consensus for networked heterogeneous Euler–Lagrange systems via hierarchical predefined-time control algorithm

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