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Characteristics of long-distance mobile mRNAs from shoot to root in grafted plant species
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作者 Mengmeng Fu Zhen Xu +7 位作者 Huaying Ma Yifan Hao Ji Tian Yi Wang Xinzhong Zhang Xuefeng Xu Zhenhai Han Ting Wu 《Horticultural Plant Journal》 SCIE CAS CSCD 2024年第1期25-37,共13页
Thousands of long-distance mobile mRNAs were identified from different grafting systems,based on high-throughput sequencing technology.Moreover,the long-distance delivery of RNAs was proved to involve multiple mechani... Thousands of long-distance mobile mRNAs were identified from different grafting systems,based on high-throughput sequencing technology.Moreover,the long-distance delivery of RNAs was proved to involve multiple mechanisms.Here,we analyzed the homology,motif,and tRNA-like structure(TLS)of long-distance mobile mRNAs identified by RNA-seq as well as the RNA-binding protein(RBP)in nine grafting combinations including Arabidopsis thaliana,Vitis vinifera,Cucumis sativus,Citrullus lanatus,Nicotiana benthamiana,Malus domestica,Pyrus spp.,Glycine max and Phaseolus vulgaris.Although several mRNAs were found to be shared in herbaceous,woody,and related species,the vast majority of long-distance mobile mRNAs were species-specific.Four non-specific movement-related motifs were identified,while the TLS was not necessary for mRNA long distance mobility.In addition,we found that RBPs were conserved among herbaceous and woody plants as well as related species.This paper reports a further in-depth analysis of the endogenous mechanisms by which the species-specific transportable m RNAs were selected by bioinformatics,in order to provide insights for future research on long-distance mobile mRNAs. 展开更多
关键词 Grafting combination long-distance mobile mRNA TLS RNA binding proteins
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Multi-circular formation control with reinforced transient profiles for nonholonomic vehicles:A path-following framework
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作者 Jintao Zhang Xingling Shao +1 位作者 Wendong Zhang Zongyu Zuo 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第1期278-287,共10页
This article investigates a multi-circular path-following formation control with reinforced transient profiles for nonholonomic vehicles connected by a digraph.A multi-circular formation controller endowed with the fe... This article investigates a multi-circular path-following formation control with reinforced transient profiles for nonholonomic vehicles connected by a digraph.A multi-circular formation controller endowed with the feature of spatial-temporal decoupling is devised for a group of vehicles guided by a virtual leader evolving along an implicit path,which allows for a circumnavigation on multiple circles with an anticipant angular spacing.In addition,notice that it typically imposes a stringent time constraint on time-sensitive enclosing scenarios,hence an improved prescribed performance control(IPPC)using novel tighter behavior boundaries is presented to enhance transient capabilities with an ensured appointed-time convergence free from any overshoots.The significant merits are that coordinated circumnavigation along different circles can be realized via executing geometric and dynamic assignments independently with modified transient profiles.Furthermore,all variables existing in the entire system are analyzed to be convergent.Simulation and experimental results are provided to validate the utility of suggested solution. 展开更多
关键词 Multi-circular formation Reinforced transient profiles Nonholonomic vehicles Path following
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Path-Following Based on Nonlinear Model Predictive Control with Adaptive Path Preview
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作者 Jun-Ting LI Chih-Keng CHEN 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2024年第S01期158-164,共7页
This paper presents a Nonlinear Model Predictive Controller(NMPC)for the path following of autonomous vehicles and an algorithm to adaptively adjust the preview distance.The prediction model includes vehicle dynamics,... This paper presents a Nonlinear Model Predictive Controller(NMPC)for the path following of autonomous vehicles and an algorithm to adaptively adjust the preview distance.The prediction model includes vehicle dynamics,path following dynamics,and system input dynamics.The single-track vehicle model considers the vehicle’s coupled lateral and longitudinal dynamics,as well as nonlinear tire forces.The tracking error dynamics are derived based on the curvilinear coordinates.The cost function is designed to minimize path tracking errors and control effort while considering constraints such as actuator bounds and tire grip limits.An algorithm that utilizes the optimal preview distance vector to query the corresponding reference curvature and reference speed.The length of the preview path is adaptively adjusted based on the vehicle speed,heading error,and path curvature.We validate the controller performance in a simulation environment with the autonomous racing scenario.The simulation results show that the vehicle accurately follows the highly dynamic path with small tracking errors.The maximum preview distance can be prior estimated and guidance the selection of the prediction horizon for NMPC. 展开更多
关键词 path following curvilinear coordinates nonlinear model predictive control
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A Novel Prescribed-Performance Path-Following Problem for Non-Holonomic Vehicles
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作者 Zirui Chen Jingchuan Tang Zongyu Zuo 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第6期1476-1484,共9页
The issue of achieving prescribed-performance path following in robotics is addressed in this paper,where the aim is to ensure that a desired path within a specified region is accu-rately converged to by the controlle... The issue of achieving prescribed-performance path following in robotics is addressed in this paper,where the aim is to ensure that a desired path within a specified region is accu-rately converged to by the controlled vehicle.In this context,a novel form of the prescribed performance guiding vector field is introduced,accompanied by a prescribed-time sliding mode con-trol approach.Furthermore,the interdependence among the pre-scribed parameters is discussed.To validate the effectiveness of the proposed method,numerical simulations are presented to demonstrate the efficacy of the approach. 展开更多
关键词 Guiding vector field non-holonomic vehicle path following prescribed performance sliding mode control
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Securing offshore resources development:A mathematical investigation into gas leakage in long-distance flexible pipes
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作者 Xiang-An Lu Liang-Liang Jiang +1 位作者 Jian-Sheng Zhang Min-Gui Wang 《Petroleum Science》 SCIE EI CAS CSCD 2024年第4期2734-2744,共11页
Gas flexible pipes are critical multi-layered equipment for offshore oil and gas development.Under high pressure conditions,small molecular components of natural gas dissolve into the polymer inner liner of the flexib... Gas flexible pipes are critical multi-layered equipment for offshore oil and gas development.Under high pressure conditions,small molecular components of natural gas dissolve into the polymer inner liner of the flexible pipes and further diffuse into the annular space,incurring annular pressure build-up and/or production of acidic environment,which poses serious challenges to the structure and integrity of the flexible pipes.Gas permeation in pipes is a complex phenomenon governed by various factors such as internal pressure and temperature,annular structure,external temperature.In a long-distance gas flexible pipe,moreover,gas permeation exhibits non-uniform features,and the gas permeated into the annular space flows along the metal gap.To assess the complex gas transport behavior in long-distance gas flexible pipes,a mathematical model is established in this paper considering the multiphase flow phenomena inside the flexible pipes,the diffusion of gas in the inner liner,and the gas seepage in the annular space under varying permeable properties of the annulus.In addition,the effect of a variable temperature is accounted.A numerical calculation method is accordingly constructed to solve the coupling mathematical equations.The annular permeability was shown to significantly influence the distribution of annular pressure.As permeability increases,the annular pressure tends to become more uniform,and the annular pressure at the wellhead rises more rapidly.After annular pressure relief followed by shut-in,the pressure increase follows a convex function.By simulating the pressure recovery pattern after pressure relief and comparing it with test results,we deduce that the annular permeability lies between 123 and 512 m D.The results help shed light upon assessing the annular pressure in long distance gas flexible pipes and thus ensure the security of gas transport in the emerging development of offshore resources. 展开更多
关键词 Offshore resources development Transport security long-distance flexible pipes Gas leakage Heat and mass transfer model Finite difference calculation
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缺乏位置信息的视觉移动机器人leader-following编队控制
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作者 沈尧高 于双和 黄进 《计算机应用与软件》 北大核心 2024年第2期73-79,共7页
针对视觉移动机器人编队在缺乏位置信息情况下的控制问题,提出一种基于视觉的leader-following编队反馈控制方法。该方法利用leader标志物特征点在follower摄像机像平面上的坐标信息设计了观测器,对leader与follower间的相对位置进行估... 针对视觉移动机器人编队在缺乏位置信息情况下的控制问题,提出一种基于视觉的leader-following编队反馈控制方法。该方法利用leader标志物特征点在follower摄像机像平面上的坐标信息设计了观测器,对leader与follower间的相对位置进行估计,基于相对位置估计量与它们速度的关系,设计出leader-following编队反馈控制器,通过Lyapunov理论证明了闭环系统的稳定性。仿真结果表明,该控制方法能有效解决缺乏位置信息情况下视觉移动机器人编队的控制问题。 展开更多
关键词 视觉移动机器人 leader-following编队 缺乏位置信息 相对位置 反馈控制
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Visual object-oriented application for lane following on intelligent highway system
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作者 王春燕 王炜 +1 位作者 陆建 常玉林 《Journal of Southeast University(English Edition)》 EI CAS 2003年第2期165-167,共3页
A visual object-oriented software for lane following on intelligent highway system (IHS) is proposed. According to object-oriented theory, 3 typical user services of self-check, transfer of human driving and automatic... A visual object-oriented software for lane following on intelligent highway system (IHS) is proposed. According to object-oriented theory, 3 typical user services of self-check, transfer of human driving and automatic running and abnormal information input from the sensors are chosen out. In addition, the functions of real-time display, information exchanging interface, determination and operation interweaving in the 3 user services are separated into 5 object-oriented classes. Moreover, the 5 classes are organized in the visual development environment. At last, experimental result proves the validity and reliability of the control application. 展开更多
关键词 intelligent transportation system intelligent highway system lane following visual object-oriented application
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MICROPROCESSOR BASED MODEL FOLLOWING ADAPTIVE CONTROL SYSTEM FOR CSIM DRIVES
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作者 张春明 左敦稳 王珉 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1996年第2期40+35-39,共6页
A model following adaptive control system for CSIM is presented in this paper. A dynamic mathematical model of slip control based system is obtained. With the help of model reducing technique, full order model is ... A model following adaptive control system for CSIM is presented in this paper. A dynamic mathematical model of slip control based system is obtained. With the help of model reducing technique, full order model is reduced to simplify the design without degrading much of the performance. Model following adaptive control laws in discrete form are derived. These laws satisfy the hyperstability condition for taking care of the load and machine parameter changes of the drive. A microprocessor 8098 is used to develop the speed controller. The implementation of the control system uses only available variables of the reference model and the controlled plant. Experimental results are given to demonstrate the good performance of the system. 展开更多
关键词 induction motors frequency converters microprocessors adaptive control model following
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基于时变时滞动态拓扑的二阶Leader-Following多智能体一致性分析 被引量:7
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作者 缪盛 崔宝同 朱夏冰 《计算机应用研究》 CSCD 北大核心 2013年第4期1024-1027,共4页
针对具有时变时滞的二阶Leader-Following多智能体系统,研究了其一致性问题。假设其通信拓扑是时刻切换的,并且每个子时间段内系统拓扑不完全连通,采用Lyapunov-Krasovskii泛函和矛盾分析法,对系统进行了解耦分析,得出只需所有时间段内... 针对具有时变时滞的二阶Leader-Following多智能体系统,研究了其一致性问题。假设其通信拓扑是时刻切换的,并且每个子时间段内系统拓扑不完全连通,采用Lyapunov-Krasovskii泛函和矛盾分析法,对系统进行了解耦分析,得出只需所有时间段内的拓扑并集连通,且系统的特征根满足一定条件,系统能达到一致,并进行了理论证明。以4个following智能体与1个leader智能体做成的网络为例进行具体说明,所得仿真结果验证了理论的有效性。 展开更多
关键词 二阶一致 多智能体系统 领航者 动态拓扑 时变时滞 并集连通
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Leader-following多智能体网络分布式编队控制 被引量:2
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作者 李本印 《宁夏大学学报(自然科学版)》 CAS 2013年第4期321-326,共6页
针对多智能体固定拓扑网络,考虑无时延和有时延两种情况,研究了多智能体网络的分布式编队控制协议.首先,针对无通信时延的多智能体网络,提出了分布式编队控制协议,利用Lyapunov稳定理论,给出了协议有效的充分条件.然后,考虑时变通信时延... 针对多智能体固定拓扑网络,考虑无时延和有时延两种情况,研究了多智能体网络的分布式编队控制协议.首先,针对无通信时延的多智能体网络,提出了分布式编队控制协议,利用Lyapunov稳定理论,给出了协议有效的充分条件.然后,考虑时变通信时延,利用Lyapunov-Krasovskii函数证明了协议的有效性.最后,利用仿真实验证明了所设计协议的有效性.本文的创新点是对二阶多智能体网络设计分布式编队控制协议时考虑了速度一致性. 展开更多
关键词 分布式编队控制 leader-following 时延 多智能体系统
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Leader-following多自主体系统时变编队跟踪控制 被引量:1
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作者 韩娜妮 赵莉 《兰州理工大学学报》 CAS 北大核心 2023年第2期88-95,共8页
考虑时变时延,研究了高阶leader-following多自主体系统的分布式时变编队跟踪控制问题.针对连续高阶多自主体系统,设计了基于观测器的时变编队跟踪控制协议,通过状态变换,将系统的时变编队跟踪控制问题,转变为误差系统的稳定性问题.然... 考虑时变时延,研究了高阶leader-following多自主体系统的分布式时变编队跟踪控制问题.针对连续高阶多自主体系统,设计了基于观测器的时变编队跟踪控制协议,通过状态变换,将系统的时变编队跟踪控制问题,转变为误差系统的稳定性问题.然后利用图论及李雅普诺夫稳定定理,研究了系统实现时变编队跟踪控制的充分条件,并且指出时变编队参考函数与时变时延无关.最后,数据仿真结果证明了所设计的协议能使follower自主体实现时变编队,并且跟踪leader自主体的轨迹. 展开更多
关键词 leader-following多自主体系统 时变编队 跟踪控制 编队参考函数
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基于观测器的多智能体网络leader-following编队控制
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作者 韩娜妮 张可儿 徐秀妮 《陇东学院学报》 2015年第1期22-25,共4页
主要研究了leader-following多智能体网络的分布式编队问题。假设多智能体网络中的每个follower不能实时得到leader的信息,针对每个follower设计相应的分布式观测器。考虑了无时延的切换拓扑多智能体网络和存在时变时延的固定网络两种... 主要研究了leader-following多智能体网络的分布式编队问题。假设多智能体网络中的每个follower不能实时得到leader的信息,针对每个follower设计相应的分布式观测器。考虑了无时延的切换拓扑多智能体网络和存在时变时延的固定网络两种情况。利用Lyapunov稳定定理,给出了系统稳定和控制协议有效的充分条件。最后,给出了数字仿真结果以验证所设计协议的有效性,即followers形成所要求的编队并且与leader达到速度一致。 展开更多
关键词 leader-following编队控制 分布式观测器 多智能体网络
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Kinematics and Path Following Control of an Articulated Drum Roller 被引量:12
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作者 Yongming BIAN Meng YANG +1 位作者 Xiaojun FANG Xiahui WANG 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2017年第4期888-899,共12页
Automatic navigation of an articulated drum roller, which is an articulated steering type vehicle widely used in the construction industry, is highly expected for operation cost reduction and improvement of work effi-... Automatic navigation of an articulated drum roller, which is an articulated steering type vehicle widely used in the construction industry, is highly expected for operation cost reduction and improvement of work effi- ciency. In order to achieve the path following control, considering that its steering system is articulated steering and two frames are articulated by an active revolute joint, a kinematic model and an error dynamic state-space equation of an articulated drum roller are proposed. Besides, a state- feedback control law based on Lyapunov stability theory is also designed, which can be proved to achieve the purpose of control by the analysis of stability. What's more, to evaluate the performance of the proposed method, simu- lation under the MATLAB/Simulink and experiments using positioning algorithm and errors correction at the uneven construction site are performed, with initial dis- placement error (-1.5 m), heading error (-0.11 tad) and steering angle (-0.19 rad). Finally, simulation and exper- imental results show that the errors and steering angle can decrease gradually, and converge to zero with time. Meanwhile, the control input is not saturated. An articu- lated drum roller can lock into a desired path with the proposed method in uneven fields. 展开更多
关键词 KINEMATICS Path following controlArticulated drum roller Positioning algorithmPositioning errors correction
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Path Following Control of A Deep-Sea Manned Submersible Based upon NTSM 被引量:7
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作者 马岭 崔维成 《China Ocean Engineering》 SCIE EI 2005年第4期625-636,共12页
In this paper, a robust path following control law is proposed for a deep-sea manned submersible maneuvering along a predeterminated path. Developed in China, the submersible is underactuated in the horizontal plane i... In this paper, a robust path following control law is proposed for a deep-sea manned submersible maneuvering along a predeterminated path. Developed in China, the submersible is underactuated in the horizontal plane in that it is actuated by two perpendicular thrusts in this plane. The advanced non-singular terminal sliding mode (NTSM) is implemented for the design of the path following controller, which can ensure the convergence of the motion system in finite time and improve its robustness against parametric uncertainties and environmental disturbances. In the process of controller design, the close-loop stability is considered and proved by Lyapunov' s stability theory. With the experimental data, numerical simulations are provided to verify the control law for path following of the deep-sea manned submersible. 展开更多
关键词 path following deep-sea manned submersible terminal sliding mode control ROBUSTNESS
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Adaptive sliding-mode path following control system of the underactuated USV under the influence of ocean currents 被引量:11
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作者 CHEN Xiao LIU Zhong +2 位作者 ZHANG Jianqiang ZHOU Dechao DONG Jiao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第6期1271-1283,共13页
The path-following control of the asymmetry underactuated unmanned surface vehicle(USV) under external disturbances such as unknown constant and irrational ocean currents is discussed, and an adaptive sliding-mode pat... The path-following control of the asymmetry underactuated unmanned surface vehicle(USV) under external disturbances such as unknown constant and irrational ocean currents is discussed, and an adaptive sliding-mode path-following control system is proposed, which comprises a path-variable updated law,a modified integral line-of-sight(ILOS) guidance law based on a time-varying lookahead distance and adaptive feedback linearizing controllers combined with sliding-mode technique. A more accurate USV model without the assumption of having diagonal inertia and damping matrices is first presented, aiming at improving the performance of the path-following control. Next, the coordinate transformation is adopted to decouple the sway dynamic from the rudder angle, and the path-following errors dynamics without non-singular problem are presented in the moving Frenet-Serret frame. Then, based on the cascaded theorem and the adaptive sliding-mode method, the adaptive control law of position errors and course error are designed, among which the lookahead distance and integral gain are all computed as different functions of cross-track error to estimate and compensate the sideslip angle caused by external disturbances adaptively. Finally, according to the Lyapunov and cascaded theorem, the control system proposed is proved to be uniform globally asymptotic stability(UGAS) and uniform semiglobal exponential stability(USGES) when the control objectives are all achieved. Simulation results illustrate the precision and high-quality performance of this new controller. 展开更多
关键词 sliding-mode control unmanned surface vehicle(USV) integral line-of-sight(ILOS) path following proof of stability
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Simulation of long-distance pipeline transportation properties of whole-tailings paste with high sliming 被引量:18
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作者 WU Ai-xiang RUAN Zhu-en +4 位作者 WANG Yi-ming YIN Sheng-hua WANG Shao-yong WANG Yong WANG Jian-dong 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第1期141-150,共10页
Based on Bingham rheological model,a three-dimensional numerical simulation model for long-distance pipeline transportation is established by computational fluid dynamics(CFD)to study the pipeline transportationproper... Based on Bingham rheological model,a three-dimensional numerical simulation model for long-distance pipeline transportation is established by computational fluid dynamics(CFD)to study the pipeline transportationproperties of high sliming paste from a copper mine in China.Based on the rheological properties test,the pressure and velocity of pipeline and elbow are simulated by CFD under different mass concentrations and different stowing capacities.The results show that the pipeline resistance of whole-tailings paste with high sliming while without pumping agent is much higher than that with high sliming and pumping agent at the same mass concentration,and the pipeline resistance of whole-tailings paste with high sliming while without pumping agent is much higher than that with low sliming while without pumping agent.It is very important to add pumping agent to whole-tailings paste with high sliming,and the resistance changes with mass concentration and stowing capacity at the same cement-to-sand ratio of1:5and tailings-to-waste ratio of6:1.However,the change is just limited,that is to say,the paste transportation system is of good stability.Furthermore,at the elbow,the maximum pressure and velocity transfer to the outside of the pipe from the inside.However,lubricating layer is formed at the pipe wall because of high content of fine particles in whole-tailings paste,which will protect the elbow from abrasion.CFD provides an intuitive and accurate basis for pipeline transportation study,and would have a wider application space in the study of paste rheological properties and resistance reduction methods. 展开更多
关键词 whole-tailings paste long-distance transportation computational fluid dynamics
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Inverse Optimal Control for Speed-varying Path Following of Marine Vessels with Actuator Dynamics 被引量:3
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作者 Yang Qu Haixiang Xu +2 位作者 Wenzhao Yu Hui Feng Xin Han 《Journal of Marine Science and Application》 CSCD 2017年第2期225-236,共12页
A controller which is locally optimal near the origin and globally inverse optimal for the nonlinear system is proposed for path following of over actuated marine crafts with actuator dynamics. The motivation is the e... A controller which is locally optimal near the origin and globally inverse optimal for the nonlinear system is proposed for path following of over actuated marine crafts with actuator dynamics. The motivation is the existence of undesired signals sent to the actuators, which can result in bad behavior in path following. To attenuate the oscillation of the control signal and obtain smooth thrust outputs, the actuator dynamics are added into the ship maneuvering model. Instead of modifying the Line-of-Sight (LOS) guidance law, this proposed controller can easily adjust the vessel speed to minimize the large cross-track error caused by the high vessel speed when it is turning. Numerical simulations demonstrate the validity of this proposed controller. 展开更多
关键词 path following LINE-OF-SIGHT guidance optimal control BACKSTEPPING ACTUATOR dynamics
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Path following control of underactuated ships based on nonswitch analytic model predictive control 被引量:4
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作者 Xiaofei WANG Zaojian ZOU +1 位作者 Tieshan LI Weilin LUO 《控制理论与应用(英文版)》 EI 2010年第4期429-434,共6页
A path following controller is developed for underactuated ships with only surge force and yaw moment available to follow a predefined path.The proposed controller is based on nonswitch analytic model predictive contr... A path following controller is developed for underactuated ships with only surge force and yaw moment available to follow a predefined path.The proposed controller is based on nonswitch analytic model predictive control.It is shown that the optimal control law for a nonlinear path following system with ill-defined relative degree is continuous and nonsingular.The problem of ill-defined relative degree is solved.The path-following ability of the nonlinear system is guaranteed.Numerical simulations are provided to demonstrate the effectiveness of the proposed control law. 展开更多
关键词 Underactuated ship Path following Model predictive control Ill-defined relative degree
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Effect of following strength on pedestrian counter flow 被引量:3
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作者 邝华 李兴莉 +2 位作者 韦艳芳 宋涛 戴世强 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第7期179-187,共9页
This paper proposes a modified lattice gas model to simulate pedestrian counter flow by considering the effect of following strength which can lead to appropriate responses to some complicated situations. Periodic and... This paper proposes a modified lattice gas model to simulate pedestrian counter flow by considering the effect of following strength which can lead to appropriate responses to some complicated situations. Periodic and open boundary conditions are adopted respectively. The simulation results show that the presented model can reproduce some essential features of pedestrian counter flows, e.g., the lane formation and segregation effect. The fundamental diagrams show that the complete jamming density is independent of the system size only when the width W and the length L are larger than some critical values respectively, and the larger asymmetrical conditions can better avoid the occurrence of deadlock phenomena. For the mixed pedestrian flow, it can be found that the jamming cluster is mainly caused by those walkers breaking the traffic rules, and the underlying mechanism is analysed. Furthermore, the comparison of simulation results and the experimental data is performed, it is shown that this modified model is reasonable and more realistic to simulate and analyse pedestrian counter flow. 展开更多
关键词 following behaviour lattice gas model counter flow
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A time-optimal aircraft-following model based on Pontryagin's minimum principle 被引量:3
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作者 Linghang MENG Xiaohao XU Zengxian GENG 《Journal of Modern Transportation》 2011年第4期268-273,共6页
A time-optimal aircraft-following model is introduced to address air traffic flow interference by velocity reduction. The objective function is set up as minimizing the recovery time during which the separation minima... A time-optimal aircraft-following model is introduced to address air traffic flow interference by velocity reduction. The objective function is set up as minimizing the recovery time during which the separation minima are not infringed and the separation of the air traffic flow returns to the initial separation at the terminal time. Pontryagin's minimum principle is used to solve the optimum aircraft-following velocity control law. An analytical minimum safe following separation is also provided under the time-optimal control law. The simulation results show that the precision first-order tracking accuracy is achieved without losing the separation. 展开更多
关键词 air traffic flow aircraft-following model time-optimal control safe following separation
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