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1. 东南大学 自动化学院, 江苏 南京 210096
2. 北京理工大学 自动化学院, 北京 100081
Received:01 September 2023,
Published Online:15 January 2024,
Published:30 December 2023
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Caoyan LI, Zhenchuan GUO, Dongdong ZHENG, et al. Multi-robot Cooperative Formation Based on Distributed Model Predictive Control[J]. Acta Armamentarii, 2023, 44(S2): 178-190.
Caoyan LI, Zhenchuan GUO, Dongdong ZHENG, et al. Multi-robot Cooperative Formation Based on Distributed Model Predictive Control[J]. Acta Armamentarii, 2023, 44(S2): 178-190. DOI: 10.12382/bgxb.2023.0851.
多机器人协同系统具备强鲁棒性和容错性
可显著提高整体效率并完成复杂任务。当前多机器人编队常采用集中式架构
此方式依赖中央决策模块
尤其在处理众多机器人的协同任务时存在可扩展性不足、可解性低的问题。提出了一种基于领导者-跟随者方法的分布式模型预测控制器(DMPC)
处理多机器人协同编队任务。基于运动学和图网络
对机器人和系统通信进行建模。将编队问题中的轨迹跟踪和队形保持任务分解
分别对领导者和跟随者设计了模型预测控制器。设计了编队队形矩阵
并将其与通信图网络结合
以实现一致性控制或编队控制。各机器人独立决策、并行计算
在面对较多数量机器人的协同编队时表现出更好的准确性和可扩展性。同时
该控制器的设计中还考虑了控制输入变化
有助于减小能耗。设计了数值仿真及方案对比
并通过物理仿真实验
验证了所设计的控制策略的有效性。
Multi-robot cooperative system has strong robustness and fault tolerance
which can greatly improve the overall efficiency and complete the complex tasks. At present
the multi-robot formation often adopts a centralized architecture
which relies on the central decision-making module. In particular
there are problems of insufficient scalability and low solvability when dealing with the collaborative tasks of a large number of robots. A distributed model predictive controller (DMPC) based on leader-follower method is proposed to deal with multi-robot cooperative formation tasks. The robot motion and system communication are modeled based on kinematics and graph network. The trajectory tracking and formation keeping tasks in the formation problem are decomposed
and the model predictive controllers are designed for the leader and followers
respectively. A formation matrix is designed and combined with the communication graph network to achieve consensus or formation control. Independent decision-making and parallel computing of each robot show better accuracy and scalability for the collaborative formation of a large number of robots. At the same time
the design of the controller also takes into account the change of control input
which helps to reduce energy consumption. Numerical simulation and scheme comparison are designed
and the effectiveness of the designed control strategy is verified by physical simulation experiment.
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LI R , XIANG C L , WANG C , et al. Robust adaptive trajectory tracking control approach for autonomous tracked vehicles [J ] . Acta Armamentarii , 2021 , 42 ( 6 ): 1128 - 1137 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2021.06.002 http://doi.org/10.3969/j.issn.1000-1093.2021.06.002 A robust adaptive trajectory tracking control approach based on robust integral of sign of error is presented for the trajectory tracking control of autonomous tracked vehicles in the field environment. In the proposed approach, the modelling errors, parametric uncertainties, and external random and strong disturbances are taken into account. A kinematic and dynamic coupling model of autonomous tracked vehicles is established based on Lagrangian dynamical equation. The feedforward compensation of the established model is realized by adaptive control approach, and the external disturbances and uncertainties can be suppressed by using the robust integral of sign of error. And then the asymptotical global stability and convergence of the closed loop system is demonstrated by Lyapunov stability theory. The simulated results were verified through real vehicle test. Simulated and experimental results show that the proposed approach can be used to realize the high accuracy trajectory tracking and insure the adaptiveness and robustness for autonomous tracked vehicles in the presence of modelling errors, parametric uncertainties and external disturbances.
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ZHANG H G , FENG T , LIANG H J , et al. LQR-based optimal distributed cooperative design for linear discrete-time multiagent systems [J ] . IEEE Transactions on Neural Networks and Learning Systems , 2017 , 28 ( 3 ): 599 - 611 . DOI: 10.1109/TNNLS.2015.2490072 http://doi.org/10.1109/TNNLS.2015.2490072 In this paper, a novel linear quadratic regulator (LQR)-based optimal distributed cooperative design method is developed for synchronization control of general linear discrete-time multiagent systems on a fixed, directed graph. Sufficient conditions are derived for synchronization, which restrict the graph eigenvalues into a bounded circular region in the complex plane. The synchronizing speed issue is also considered, and it turns out that the synchronizing region reduces as the synchronizing speed becomes faster. To obtain more desirable synchronizing capacity, the weighting matrices are selected by sufficiently utilizing the guaranteed gain margin of the optimal regulators. Based on the developed LQR-based cooperative design framework, an approximate dynamic programming technique is successfully introduced to overcome the (partially or completely) model-free cooperative design for linear multiagent systems. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design methods.
魏连震 , 龚建伟 , 陈慧岩 , 等 . 基于强化学习补偿的地面无人战车行进间跟瞄自适应控制 [J ] . 兵工学报 , 2022 , 43 ( 8 ): 1947 - 1955 . DOI: 10.12382/bgxb.2021.0786 http://doi.org/10.12382/bgxb.2021.0786 针对底盘运动和路面起伏对地面无人战车行进间跟瞄带来的非线性干扰问题,提出一种 基于强化学习补偿的地面无人战车行进间跟瞄自适应控制方法。该跟瞄控制方法由主控制器与补偿控制器两部分构成,主控制器利用PID控制算法结合当前跟瞄误差得到主控制量,补偿控制器利用Dueling Q 网络强化学习算法对战车当前状态和局部规划路径附近的路面起伏信息进行处理得到补偿控制量。建立地面无人战车一体化运动学模型,对基于强化学习的补偿控制算法进行阐述;基于V-REP动力学软件在三维场景中进行仿真验证。实验结果表明:基于强化学习补偿的跟瞄控制方法对底盘运动和路面起伏具备较好的自适应能力,有效地提升了无人战车行进间跟瞄的准确性与稳定性。
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KOBER J , BAGNELL A J , PETERS J . Reinforcement learning in robotics: A survey [J ] . The International Journal of Robotics Research , 2013 , 32 ( 11 ): 1238 - 1274 . DOI: 10.1177/0278364913495721 http://doi.org/10.1177/0278364913495721 http://journals.sagepub.com/doi/10.1177/0278364913495721 http://journals.sagepub.com/doi/10.1177/0278364913495721 Reinforcement learning offers to robotics a framework and set of tools for the design of sophisticated and hard-to-engineer behaviors. Conversely, the challenges of robotic problems provide both inspiration, impact, and validation for developments in reinforcement learning. The relationship between disciplines has sufficient promise to be likened to that between physics and mathematics. In this article, we attempt to strengthen the links between the two research communities by providing a survey of work in reinforcement learning for behavior generation in robots. We highlight both key challenges in robot reinforcement learning as well as notable successes. We discuss how contributions tamed the complexity of the domain and study the role of algorithms, representations, and prior knowledge in achieving these successes. As a result, a particular focus of our paper lies on the choice between model-based and model-free as well as between value-function-based and policy-search methods. By analyzing a simple problem in some detail we demonstrate how reinforcement learning approaches may be profitably applied, and we note throughout open questions and the tremendous potential for future research.
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