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Design of Novel Exponential PDN Controller via Quadratic Interpolation Optimiser for Nonlinear and Unstable Ball and Beam System 基于二次插值优化器的非线性不稳定球梁系统指数PDN控制器设计
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2026-01-12 DOI: 10.1049/cth2.70107
Davut Izci, Serdar Ekinci, Emre Çelik, Murat Uyar, Mohit Bajaj, Vojtech Blazek, Olena Rubanenko

This study presents a novel exponential proportional-derivative controller with filter (exp-PDN) for stabilising the nonlinear and underactuated ball and beam system. Unlike conventional PID-based approaches, the proposed controller removes the integral term, resulting in faster transient responses and improved robustness. It incorporates nonlinear exponential shaping of both the error and its derivative, along with a filtered derivative path for enhanced noise handling. A custom multi-objective cost function, comprising the squared error, settling time, and percent overshoot, is proposed to evaluate control performance. The quadratic interpolation optimiser (QIO), a recently developed metaheuristic based on analytical interpolation, is employed to optimise the controller parameters. To validate its effectiveness, the exp-PDN controller is compared against five state-of-the-art metaheuristic algorithms: QIO, spider wasp optimiser, komodo mlipir algorithm, golden eagle optimiser, and slime mould algorithm. The QIO-optimised exp-PDN achieves the best performance, with the lowest cost value (0.3211), minimal overshoot (5.52%), fast rise time (0.97 s), and smallest steady-state error (4.1643 × 104). Further comparisons with QIO-optimised phase-lead and PID-with-filter controllers demonstrate the superiority of the proposed method in both transient and steady-state behaviour. In summary, this work advances the control of nonlinear unstable systems by delivering a structurally simple yet highly responsive control architecture. The combination of dual-channel exponential shaping and efficient metaheuristic optimisation results in state-of-the-art closed-loop performance, highlighting the practical value of the proposed exp-PDN framework for real-world control applications.

本文提出了一种新的带滤波器的指数比例导数控制器(ex - pdn),用于稳定非线性欠驱动球梁系统。与传统的基于pid的方法不同,所提出的控制器去除了积分项,从而提高了瞬态响应速度和鲁棒性。它结合了误差及其导数的非线性指数形,以及用于增强噪声处理的滤波导数路径。提出了一个自定义的多目标成本函数,包括误差平方、稳定时间和超调百分比,以评估控制性能。采用基于解析插值的元启发式算法二次插值优化器(QIO)对控制器参数进行优化。为了验证其有效性,exp-PDN控制器与五种最先进的元启发式算法进行了比较:QIO,蜘蛛黄蜂优化器,科莫多mlipir算法,金鹰优化器和黏菌算法。基于qio优化的exp-PDN具有最低的cost值(0.3211)、最小的超调量(5.52%)、最快的上升时间(0.97 s)和最小的稳态误差(4.1643 × 10−4)等性能。进一步与基于qio优化的超前相位控制器和带滤波器的pid控制器进行比较,证明了该方法在瞬态和稳态行为方面的优越性。总之,这项工作通过提供结构简单但高度响应的控制体系结构来推进非线性不稳定系统的控制。双通道指数形和高效元启发式优化的结合产生了最先进的闭环性能,突出了所提出的exp-PDN框架在现实世界控制应用中的实用价值。
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引用次数: 0
Modeling and Stability Analysis of Malware Propagation in Hierarchically Protected WSNs Based on Epidemiological Theory 基于流行病学理论的分层保护wsn恶意软件传播建模与稳定性分析
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2026-01-09 DOI: 10.1049/cth2.70100
Xuejin Zhu, Nan Fu

Wireless sensor networks (WSNs) are highly vulnerable to malware attacks due to resource constraints. However, existing propagation models often overlook the heterogeneous security levels in hierarchically protected WSNs, leading to inaccurate representations of dynamics across network layers. This paper proposes a novel malware propagation model specifically for hierarchically protected WSNs to capture the distinct defense capabilities of heterogeneous nodes. Based on epidemiological theory, nodes are stratified into high protection level (HPL) and low protection level (LPL) categories within a susceptible-exposed-infected-recovered (SEIR) differential equation framework. We rigorously derive the basic reproduction number (R0$R_{0}$) and prove the global asymptotic stability of equilibrium points using Lyapunov function analysis. Theoretical and experimental results demonstrate that malware is eradicated when R0<1$R_{0}<1$, whereas it persists endemically when R0>1$R_{0}>1$. Specifically, simulations reveal that while HPL nodes exhibit lower infection rates, their compromise significantly accelerates network-wide propagation due to high connectivity. Furthermore, a critical communication radius threshold is identified; exceeding this threshold triggers a transition to an endemic state. The proposed model offers theoretical insights for defense strategies, suggesting that optimizing the HPL node proportion and regulating communication radius are critical for mitigating malware propagation.

由于资源的限制,无线传感器网络极易受到恶意软件的攻击。然而,现有的传播模型往往忽略了分层保护的wsn中的异构安全级别,导致跨网络层的动态表示不准确。本文提出了一种针对分层保护wsn的新型恶意软件传播模型,以捕捉异构节点的不同防御能力。基于流行病学理论,在易感-暴露-感染-恢复(SEIR)微分方程框架内,将节点分为高保护水平(HPL)和低保护水平(LPL)两类。我们严格地推导了基本再现数(r0 $R_{0}$),并利用Lyapunov函数分析证明了平衡点的全局渐近稳定性。理论和实验结果表明,当r0 <;1$ R_{0}<1$时,恶意软件被根除。而当r0 >;1$ R_{0}>1$时,它会持续存在。具体来说,模拟表明,虽然HPL节点的感染率较低,但由于高连接性,它们的妥协显著加速了网络范围内的传播。此外,还确定了关键通信半径阈值;超过这个阈值将触发向地方性状态的过渡。该模型为防御策略提供了理论见解,表明优化HPL节点比例和调节通信半径对于减轻恶意软件传播至关重要。
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引用次数: 0
Window Impulsive Consensus of Time-Varying Multi-Agent Systems Under Deception Attacks on Time Scales 时间尺度欺骗攻击下时变多智能体系统的窗口脉冲一致性
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2026-01-08 DOI: 10.1049/cth2.70096
Boling Zhou, Yongqing Yang, Qi Chang, Yu Jiao, Rixu Hao, Haifei Zhang, Yangling Wang

This paper addresses the consensus problem for time-varying multi-agent systems (MASs) under deception attacks on time scales. A novel hybrid control strategy is proposed, integrating sampled-data feedback with time-varying window impulsive control, which eliminates the conventional requirement of preset fixed impulsive instants. To characterize deception attacks on transmission channels, Bernoulli-distributed random variables are introduced to model the occurrence and probability of attacks. Moreover, average parameters related to impulsive gains and time-varying window boundaries are incorporated into the design. Based on time-scale theory and Lyapunov stability analysis, sufficient conditions are derived for achieving both leader-following consensus and dynamic average consensus. These conditions, which depend on the average parameters, not only relax the constraints on impulsive gains but also reduce the required frequency of impulsive control inputs. The effectiveness of the proposed control scheme is validated through numerical simulations.

研究了时变多智能体系统在时间尺度欺骗攻击下的一致性问题。提出了一种新的混合控制策略,将采样数据反馈与时变窗口脉冲控制相结合,消除了传统的预设固定脉冲瞬间的要求。为了描述传输信道上的欺骗攻击,引入伯努利分布随机变量来模拟攻击的发生和概率。此外,设计中还考虑了与脉冲增益和时变窗口边界相关的平均参数。基于时间尺度理论和Lyapunov稳定性分析,导出了实现领导-跟随共识和动态平均共识的充分条件。这些条件依赖于平均参数,不仅放松了对脉冲增益的约束,而且降低了脉冲控制输入所需的频率。通过数值仿真验证了所提控制方案的有效性。
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引用次数: 0
Effective Variable-Speed Bearing Fault Diagnosis From Motor Current Signals Using Kurtosis-Guided VMD and Multi-Branch Convolutional Neural Network 基于峭度导VMD和多分支卷积神经网络的电机电流信号变转速轴承故障诊断
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2026-01-06 DOI: 10.1049/cth2.70101
Seyyid Ahmed Djellouli, Mounir Djeddi, Aissa Kheldoun, Nima Khosravi, Adel Oubelaid

Bearing fault diagnosis in induction motors under variable load and speed conditions remains a challenging task due to the complexity of fault-induced transients in current signals. This study presents a novel deep learning-based fault classification framework utilising Variational Mode Decomposition (VMD) for adaptive feature extraction and a Multi-branch Convolutional Neural Network (1D-MCNN) architecture for classification. The VMD hyperparameters were optimised based on kurtosis to ensure the extraction of the most informative Intrinsic Mode Functions (IMFs), significantly enhancing feature quality. Experimental validation under fixed, variable and noisy operating conditions demonstrated the superior performance of the proposed approach. The 1D-CNN multi-branch model consistently outperformed conventional artificial neural network (ANN) and single-branch convolutional neural network (CNN) architectures, achieving 99.85% accuracy in fixed-speed conditions and 99.75% in variable-speed operations. Moreover, t-SNE visualisations revealed improved class separability, confirming the robustness of the extracted features. These results highlight the efficacy of VMD-guided deep learning architectures in accurately detecting bearing faults across diverse operational scenarios, reinforcing their potential for industrial predictive maintenance.

由于电流信号中故障瞬态的复杂性,变负载变转速条件下异步电动机轴承故障诊断仍然是一项具有挑战性的任务。本文提出了一种新的基于深度学习的故障分类框架,利用变分模态分解(VMD)进行自适应特征提取,利用多分支卷积神经网络(1D-MCNN)进行分类。基于峰度对VMD超参数进行了优化,确保提取出信息量最大的内禀模态函数(IMFs),显著提高了特征质量。在固定、可变和噪声条件下的实验验证表明了该方法的优越性。1D-CNN多分支模型始终优于传统的人工神经网络(ANN)和单分支卷积神经网络(CNN)架构,在固定速度条件下达到99.85%的准确率,在变速条件下达到99.75%的准确率。此外,t-SNE可视化显示了改进的类可分离性,证实了提取特征的鲁棒性。这些结果突出了vmd引导的深度学习架构在不同操作场景下准确检测轴承故障的有效性,增强了它们在工业预测性维护方面的潜力。
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引用次数: 0
Decentralised and Centralised Fixed Structure H∞ Robust Loop Shaping for the MIMO Microsurgical Manipulation Based on PSOGSA 基于PSOGSA的MIMO显微外科操作的分散和集中固定结构H∞鲁棒环整形
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2026-01-06 DOI: 10.1049/cth2.70086
Somyot Kaitwanidvilai, Poom Konghuayrob, Hisayuki Aoyama

This paper presents decentralised and centralised fixed-structure H∞ robust control methods optimised by the Particle Swarm Optimisation and Gravitational Search Algorithm (PSOGSA) for a coupled multi-input multi-output (MIMO) microsurgical manipulator. The design framework explicitly considers uncertainties and disturbance constraints. Conventional H∞ loop-shaping controllers are typically of high order, complex, and difficult to implement in practice. To address this limitation, Proportional-Integral-Derivative (PID)-structured decentralised and centralised H∞ controllers are proposed, providing compact structures while retaining robustness. The novelty of this work lies in embedding H∞ robustness criteria into practical PID-based frameworks, bridging the gap between theoretical robust design and experimental implementation in microsurgical applications. The proposed controllers are evaluated against a reduced-order H∞ controller derived from Hankel norm approximation and a Ziegler–Nichols tuned PID controller, using both simulation and experimental studies. Results demonstrate that the proposed controllers achieve improved stability margins (0.449–0.521 compared with 0.436 for the reduced-order design), maintain low root-mean-square errors (≈0.067–0.089) and remain robust under voltage disturbances where conventional PID control fails. These findings confirm the contribution of a practical and efficient robust control strategy for enhancing the precision and reliability of microsurgical manipulators.

针对耦合多输入多输出(MIMO)显微手术机械臂,提出了基于粒子群优化和引力搜索算法(PSOGSA)优化的分散和集中固定结构H∞鲁棒控制方法。设计框架明确考虑了不确定性和干扰约束。传统的H∞环整形控制器具有高阶、复杂、难以实现的特点。为了解决这一限制,提出了比例-积分-导数(PID)结构的分散和集中H∞控制器,在保持鲁棒性的同时提供紧凑的结构。这项工作的新颖之处在于将H∞鲁棒性标准嵌入到实际的基于pid的框架中,弥合了理论鲁棒性设计与显微外科应用实验实现之间的差距。通过仿真和实验研究,对基于Hankel范数逼近的降阶H∞控制器和Ziegler-Nichols调谐PID控制器进行了评估。结果表明,所提出的控制器获得了更好的稳定裕度(0.449-0.521,而降阶设计为0.436),保持较低的均方根误差(≈0.067-0.089),并且在电压干扰下保持鲁棒性,而传统的PID控制失效。这些发现证实了一种实用而有效的鲁棒控制策略对提高显微手术机械臂的精度和可靠性的贡献。
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引用次数: 0
Hierarchical Dynamic Cluster Consensus for Second-Order Multi-Agent Systems 二阶多智能体系统的层次动态聚类一致性
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-10 DOI: 10.1049/cth2.70092
Kexin Cai, Yineng Xiong, Yucheng Yang

This paper investigates the dynamic cluster consensus problem for second-order multi-agent leader–follower systems operating under directed communication topologies. Focusing on two scenarios, including single-chain leadership systems and multi-connection leadership systems, the study constructs a three-layer cooperative architecture that decouples the system into a leader layer, an intermediate follower layer, and a bottom follower layer. A consensus control protocol is then designed based on a hierarchical dynamic clustering strategy. For the single-chain system, a dynamic adjustment mechanism is proposed for the bottom-layer topology, and this mechanism utilizes a composite position-velocity error to achieve adaptive optimization of the communication links among neighbouring followers. For the multi-connection system, the method is extended to include dynamic adjustment of the leader–follower communication topology and an anchoring mechanism, thereby resolving issues of cluster partitioning and leader isolation. Furthermore, the design of a distributed control protocol with weight adjustment and an anti-ambiguity mechanism ensures that the system can form stable multi-cluster structures, achieve uniform convergence of states and velocities within each cluster, and maintain communication isolation between clusters. The theoretical analysis, grounded in graph theory and Lyapunov stability theory, proves the convergence of the system under weaker assumptions, while simulation results verify the effectiveness of the proposed method.

研究了有向通信拓扑下二阶多智能体leader-follower系统的动态聚类一致性问题。针对单链领导系统和多连接领导系统两种场景,构建了三层协同架构,将系统解耦为领导者层、中间追随者层和底层追随者层。在此基础上设计了基于层次动态聚类策略的共识控制协议。针对单链系统,提出了一种底层拓扑的动态调整机制,该机制利用复合位置-速度误差实现相邻follower之间通信链路的自适应优化。针对多连接系统,将该方法扩展为包含leader - follower通信拓扑的动态调整和锚定机制,从而解决了集群划分和leader隔离问题。同时,设计了带有权值调整的分布式控制协议和抗模糊机制,保证了系统能够形成稳定的多簇结构,实现各簇内状态和速度的均匀收敛,保持簇间通信隔离。基于图论和Lyapunov稳定性理论的理论分析证明了系统在较弱假设下的收敛性,仿真结果验证了所提方法的有效性。
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引用次数: 0
Manoeuvrability Limitation-Based Flight Control for Unmanned Autonomous Helicopter With State Constraints and Input Saturation 基于机动性限制的状态约束和输入饱和无人自主直升机飞行控制
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-04 DOI: 10.1049/cth2.70094
Min Wan, Kenan Yong

In this paper, a flight control scheme utilizing a fully actuated auxiliary system is investigated to improve the manoeuvring flight performance and safety of manoeuvrability-limited unmanned autonomous helicopters (UAHs). A saturation-like function is employed to approximate state constraints. A dedicated fully actuated auxiliary system is integrated into the control framework to address the detrimental impacts induced by input saturation and state constraints. The control architecture is developed through a backstepping methodology. The stability of the closed-loop system is verified by Lyapunov stability analysis. Simulation results demonstrate that the proposed control scheme effectively resolves the flight control challenges associated with manoeuvrability limitations in UAHs and achieves superior tracking performance under the presence of state constraints and input saturation.

为了提高机动性受限型无人自主直升机的机动飞行性能和安全性,研究了一种利用全驱动辅助系统的飞行控制方案。一个类似饱和的函数被用来近似状态约束。一个专用的全驱动辅助系统被集成到控制框架中,以解决由输入饱和和状态约束引起的有害影响。控制体系结构是通过回溯方法开发的。通过李雅普诺夫稳定性分析验证了闭环系统的稳定性。仿真结果表明,所提出的控制方案有效地解决了无人机机动性受限的飞行控制难题,在状态约束和输入饱和条件下取得了较好的跟踪性能。
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引用次数: 0
Multi-Agent Reinforcement Learning Algorithm Based on Local Observation Imitation Learning 基于局部观察模仿学习的多智能体强化学习算法
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-04 DOI: 10.1049/cth2.70097
Hui Zhang, Jiachen Fu, Ya Zhang, Hongfei Du

This paper investigates the error accumulation problem in centralized training and decentralized execution (CTDE) policy-based multi-agent reinforcement learning (MARL) algorithms, which arises from local observation inaccuracies. To address this issue, we propose a novel MARL algorithm that incorporates imitation learning using local observations. Firstly, by analysing the multi-agent proximal policy optimization algorithm and examining the problems arising when global states are replaced with local observations, it is proved that insufficient observations can lead to information loss, thereby introducing errors of advantage function, and it is demonstrated that the generalized advantage estimation method accumulates errors during the training process. Then, imitation learning is introduced and a novel training framework that combines reinforcement learning and imitation learning is proposed. During the reinforcement learning phase, an MARL agent trained with global observations acts as an expert. Subsequently, imitation learning is applied to train another agent that mimics the expert's decisions using only local observations. Finally, the effectiveness of this algorithm is verified in some commonly used multi-agent environments, which demonstrates its superior performance compared to traditional multi-agent reinforcement learning algorithms.

本文研究了集中训练和分散执行(CTDE)策略型多智能体强化学习(MARL)算法中由于局部观测不准确而产生的误差积累问题。为了解决这个问题,我们提出了一种新的MARL算法,该算法结合了使用局部观测的模仿学习。首先,通过对多智能体近端策略优化算法的分析,考察了用局部观测值代替全局状态时出现的问题,证明了观测值不足会导致信息丢失,从而引入优势函数的误差,并证明了广义优势估计方法在训练过程中会积累误差。然后,引入模仿学习,提出了一种结合强化学习和模仿学习的训练框架。在强化学习阶段,经过全局观察训练的MARL智能体充当专家。随后,模仿学习被应用于训练另一个智能体,该智能体仅使用局部观察来模仿专家的决策。最后,在一些常用的多智能体环境中验证了该算法的有效性,与传统的多智能体强化学习算法相比,该算法具有更优越的性能。
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引用次数: 0
A Linear Data-Driven Model for Accurate Prediction of the Response of Non-Linear Dynamical Systems: Application to Data-Driven Output-Feedback Model Predictive Controller Design 用于精确预测非线性动力系统响应的线性数据驱动模型:在数据驱动输出反馈模型预测控制器设计中的应用
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-29 DOI: 10.1049/cth2.70095
Farshad Merrikh-Bayat, Majid Mokhtari

Willems' fundamental lemma (WFL) is widely used in the data-driven model predictive controllers (MPCs) to model the plant and predict its response to the given input sequence. The advantage of this model is that it can be incorporated as a linear matrix equality constraint into the optimization problem of MPC. However, the response of a dynamical system depends not only on the input applied to it but also on its initial condition. The WFL does not directly state anything about how the initial condition of the system should be defined and incorporated into the data-driven model equations. The conventional method for incorporating the initial condition of the system in a data-driven model is to insert a number of the most recent input and output samples of the system into the same data-driven model used for predicting the system's response, and this equation is then added as a new constraint to the optimization problem. This paper shows that the conventional method of incorporating the system's initial condition into the data-driven model is inaccurate and leads to errors in predicting the system's output. Moreover, the correct method for doing this has been presented for linear time-invariant systems, and the results have also been extended to the non-linear case. The proposed method has been used to design a data-driven MPC for a lab-scale wind turbine and experimental results have been presented.

Willems基本引理(WFL)广泛应用于数据驱动模型预测控制器(MPCs)中,用于对被控对象进行建模并预测其对给定输入序列的响应。该模型的优点是可以将其作为线性矩阵等式约束引入到MPC优化问题中。然而,动力系统的响应不仅取决于施加给它的输入,而且取决于它的初始条件。WFL没有直接说明如何定义系统的初始条件并将其纳入数据驱动的模型方程。将系统初始条件纳入数据驱动模型的传统方法是将系统的许多最新输入和输出样本插入用于预测系统响应的相同数据驱动模型中,然后将该方程作为新的约束添加到优化问题中。本文表明,将系统初始条件纳入数据驱动模型的传统方法是不准确的,并且会导致预测系统输出的误差。此外,给出了线性时不变系统的正确方法,并将结果推广到非线性情况。所提出的方法已用于实验室规模风力发电机的数据驱动MPC设计,并给出了实验结果。
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引用次数: 0
Distributed MPC-Based Trajectory Tracking Control for a Multi-Quadrotor UAV Slung Load System 基于分布式mpc的四旋翼无人机吊载系统轨迹跟踪控制
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-29 DOI: 10.1049/cth2.70088
Chenlong Fu, Jinxian Wu, Li Dai, Yuanqing Xia

This paper examines the issue of collision-avoidance trajectory tracking control in a multi-quadrotor unmanned aerial vehicle (UAV) slung load system, with particular emphasis on the scenario where the reference trajectory is unreachable. The challenge of tracking an unreachable reference trajectory is effectively addressed by integrating a trajectory planner and a trajectory tracking controller within a unified distributed model predictive control (DMPC) framework. Moreover, the nonlinear system is linearized using the first-order Taylor approximation, significantly simplifying the computation in DMPC. To ensure collision avoidance with both dynamic and static obstacles, the MINVO basis is employed to calculate the minimum volume of the exterior polyhedral approximation of the obstacles' trajectories, which is significantly smaller than that achieved using the B-spline or Bernstein bases typically utilized in the planning literature. Simulation experiments involving four UAVs, one payload, two static obstacles, and one dynamic obstacle are conducted to evaluate the effectiveness of the proposed DMPC method.

研究了多四旋翼无人机吊载系统的避碰轨迹跟踪控制问题,重点研究了参考轨迹不可达的情况。通过在统一的分布式模型预测控制(DMPC)框架中集成轨迹规划器和轨迹跟踪控制器,有效地解决了跟踪不可达参考轨迹的难题。此外,非线性系统采用一阶泰勒近似进行线性化,大大简化了DMPC中的计算。为了避免与动态和静态障碍物的碰撞,MINVO基被用于计算障碍物轨迹的外部多面体近似的最小体积,这明显小于使用规划文献中通常使用的b样条或Bernstein基所获得的体积。通过4架无人机、1个载荷、2个静态障碍物和1个动态障碍物的仿真实验,验证了DMPC方法的有效性。
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引用次数: 0
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IET Control Theory and Applications
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