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1. 北京信息科技大学 自动化学院, 北京 100192
2. 北京师范大学 系统科学学院, 北京 100875
Received:17 December 2022,
Published Online:19 July 2023,
Published:31 May 2023
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Di YU, Yajie WANG, Bo ZHAO, et al. Fixed-Time Tracking Control of Multi-agent Systems under Dynamic Event-Triggering Mechanism[J]. Acta Armamentarii, 2023, 44(5): 1403-1413.
Di YU, Yajie WANG, Bo ZHAO, et al. Fixed-Time Tracking Control of Multi-agent Systems under Dynamic Event-Triggering Mechanism[J]. Acta Armamentarii, 2023, 44(5): 1403-1413. DOI: 10.12382/bgxb.2022.1267.
针对受扰非线性多智能体系统跟踪控制问题
提出一种基于动态事件触发机制的固定时间积分滑模控制方法。设计与相对状态信息相关的新型积分滑模面且提出分布式控制协议
基于测量误差和滑模面构造动态变量和动态事件触发函数。采用固定时间稳定性原理证明
若选取适当的控制参数则可使多智能体系统在固定时间内实现动态事件触发机制下的跟踪控制
且避免Zeno现象。该控制方案能够有效抑制系统扰动的影响
减少多智能体系统通信和计算资源的消耗
且避免收敛时间对系统初始状态的依赖。仿真结果表明
新提出的动态事件触发控制器使得多智能体系统在固定时间内实现跟踪控制
降低触发频率而节省资源
更适用于实际应用。
To solve the tracking control problem of disturbed nonlinear multi-agent system
a fixed-time integral sliding mode control method is proposed based on dynamic event triggering mechanism. A new integral sliding mode surface is designed based on relative state information
the distributed control protocol is developed
and dynamic variable and dynamic event triggering mechanism are constructed on the basis of the measurement error and the sliding mode surface. It can be proved that the appropriate selection of control parameters can drive the multi-agent system to achieve trajectory tracking within a fixed time under the dynamic event triggering mechanism with Zeno behavior avoided. The proposed control scheme can effectively suppress the influence of system disturbance and reduce the consumption of communication and computing resources of the multi-agent system
and meanwhile
avoid the dependence of the convergence time on the initial states of the system. The simulation results demonstrate that the proposed dynamic event triggering controller allows the multi-agent system to achieve the tracking control in fixed time and reduce the triggering frequency to save resources
which is more suitable for practical applications.
周绍磊 , 赵学远 , 祁亚辉 , 等 . 有向切换拓扑条件下考虑暂态响应的多智能体 H ∞ 一致性控制 [J ] . 兵工学报 , 2020 , 41 ( 2 ): 356 - 365 . DOI: 10.3969/j.issn.1000-1093.2020.02.018 http://doi.org/10.3969/j.issn.1000-1093.2020.02.018 针对有向切换拓扑多智能体系统带领导者的一致性追踪问题,研究了H<sub>∞</sub>一致性控制方法。通过带有领导者的Laplacian矩阵,将带领导者的一致性追踪问题转化成低维系统的稳定性问题,并给出满足暂态性能指标的充分条件;利用Lyapunov函数法并结合线性矩阵不等式方法,对系统进行了稳定性分析,得到了分布式控制器的设计方法和平均驻留时间条件。该设计方法能够使系统受到随机外部扰动时,系统状态以较小的振荡快速趋于一致,满足暂态响应性能指标。分别在考虑暂态响应、不考虑暂态响应和不受外部扰动3种条件下,对多无人机系统进行了仿真。结果表明,考虑暂态响应的H<sub>∞</sub>一致性控制器能够使系统达成一致,比不考虑暂态响应所设计的控制器能更快地、更平稳地趋于一致,满足暂态性能指标。
ZHOU S L , ZHAO X Y , QI Y H , et al. H ∞ consensus control of multi-agent systems with transient response under directed switching topology [J ] . Acta Armamentarii , 2020 , 41 ( 2 ): 356 - 365 . (in Chinese)
YAO D Y , LI H Y , LU R Q , et al. Distributed sliding-mode tracking control of second-order nonlinear multiagent systems: an event-triggered approach [J ] . IEEE Transactions on Cybernetics , 2020 , 50 ( 9 ): 3892 - 3902 . DOI: 10.1109/TCYB.2019.2963087 http://doi.org/10.1109/TCYB.2019.2963087 The event-triggered tracking control problem of second-order multiagent systems in consideration of system nonlinearities is investigated by utilizing the distributed sliding-mode control (SMC) approach. An event-triggered strategy is proposed to decrease the controller sampling frequency and save the network communication resources; the triggering condition is then established for leader-following multiagent systems. In this article, by utilizing the distributed event-based sliding-mode controller, the system state of second-order multiagent systems with system nonlinearities is capable of approaching the integral sliding-mode surface in finite time. A novel integral sliding-mode surface is constructed in this article to guarantee the consensus tracking performance in the existence of system nonlinearities as the state trajectories of second-order integrator systems move on the constructed sliding manifold. By employing the Lyapunov approach, sufficient conditions are deduced to ensure that the consensus tracking performance is obtained for the closed-loop system. Furthermore, it is presented that the triggering scheme can effectively reduce state updates and eliminate the Zeno behavior. A simulation example is provided to testify the validity of our proposed methodology.
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HAO L L , ZHAN X S , WU J , et al. Fixed-time group consensus of nonlinear multi-agent systems via pinning control [J ] . International Journal of Control, Automation and Systems , 2021 , 19 ( 1 ): 200 - 208 . DOI: 10.1007/s12555-019-1005-5 http://doi.org/10.1007/s12555-019-1005-5
ZHAO M , GU C , ZHAO L , et al. Fixed-time leader-following consensus tracking control for nonlinear multi-agent systems under jointly connected graph [J ] . Entropy , 2022 , 24 ( 8 ): 1 - 13 . DOI: 10.3390/e24010001 http://doi.org/10.3390/e24010001 https://www.mdpi.com/1099-4300/24/1/1 https://www.mdpi.com/1099-4300/24/1/1 In this paper, we propose a new approach to train a deep neural network with multiple intermediate auxiliary classifiers, branching from it. These ‘multi-exits’ models can be used to reduce the inference time by performing early exit on the intermediate branches, if the confidence of the prediction is higher than a threshold. They rely on the assumption that not all the samples require the same amount of processing to yield a good prediction. In this paper, we propose a way to train jointly all the branches of a multi-exit model without hyper-parameters, by weighting the predictions from each branch with a trained confidence score. Each confidence score is an approximation of the real one produced by the branch, and it is calculated and regularized while training the rest of the model. We evaluate our proposal on a set of image classification benchmarks, using different neural models and early-exit stopping criteria.
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SONG G , SHI P , AGRWAL R K . Fixed-time sliding mode cooperative control for multiagent networks via event-triggered strategy [J ] . International Journal of Robust and Nonlinear Control , 2021 , 31 ( 1 ): 21 - 36 . DOI: 10.1002/rnc.v31.1 http://doi.org/10.1002/rnc.v31.1 https://onlinelibrary.wiley.com/toc/10991239/31/1 https://onlinelibrary.wiley.com/toc/10991239/31/1
LI X , YU Z Y , JIANG H J . Event-triggered fixed-time integral sliding mode control for nonlinear multi-agent systems with disturbances [J ] . Entropy , 2021 , 23 ( 11 ): 1 - 18 . DOI: 10.3390/e23010001 http://doi.org/10.3390/e23010001 https://www.mdpi.com/1099-4300/23/1/1 https://www.mdpi.com/1099-4300/23/1/1 For ensuring the safety and reliability of high-speed trains, fault diagnosis (FD) technique plays an important role. Benefiting from the rapid developments of artificial intelligence, intelligent FD (IFD) strategies have obtained much attention in the field of academics and applications, where the qualitative approach is an important branch. Therefore, this survey will present a comprehensive review of these qualitative approaches from both theoretical and practical aspects. The primary task of this paper is to review the current development of these qualitative IFD techniques and then to present some of the latest results. Another major focus of our research is to introduce the background of high-speed trains, like the composition of the core subsystems, system structure, etc., based on which it becomes convenient for researchers to extract the diagnostic knowledge of high-speed trains, where the purpose is to understand how to use these types of knowledge. By reasonable utilization of the knowledge, it is hopeful to address various challenges caused by the coupling among subsystems of high-speed trains. Furthermore, future research trends for qualitative IFD approaches are also presented.
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WEN L Z , YU S H , ZHAO Y , et al. Finite-time dynamic event-triggered consensus of multi-agent systems with disturbances via integral sliding mode [J ] . International Journal of Control , 2021 . DOI: 10.1080/00207179.2021.1989045 https://dx.doi.org/10.1080/00207179.2021.1989045 . DOI: 10.1080/00207179.2021.1989045 http://doi.org/10.1080/00207179.2021.1989045
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