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Eigenstructure assignment in a class of second-order dynamic systems 被引量:8
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作者 Guosheng WANG Qiang LV Guangren DUAN 《控制理论与应用(英文版)》 EI 2006年第3期302-308,共7页
Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop ... Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established based on two simple Smith form reductions. The approach utilizes directly the original system data and involves manipulations only on n-dimensional matrices. Furthermore, it reveals all the degrees of freedom which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach. 展开更多
关键词 second-order dynamic systems Eigenstructure assignment Proportional-plus-derivative control Parametric solutions
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THE VARIATIONAL PRINCIPLE FOR A BS DIMENSION OF SUBSETS FOR NON-AUTONOMOUS DYNAMICAL SYSTEMS
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作者 Zhongxuan YANG Xiaojun HUANG 《Acta Mathematica Scientia》 2026年第1期311-329,共19页
In this manuscript,we consider a non-autonomous dynamical system.Using the Carathéodory structure,we define a BS dimension on an arbitrary subset and obtain a Bowen’s equation that illustrates the relation of th... In this manuscript,we consider a non-autonomous dynamical system.Using the Carathéodory structure,we define a BS dimension on an arbitrary subset and obtain a Bowen’s equation that illustrates the relation of the BS dimension to the Pesin-Pitskel topological pressure given by Nazarian[24].Moreover,we establish a variational principle and an inverse variational principle for the BS dimension of non-autonomous dynamical systems.Finally,we also get an analogue of Billingsley’s theorem for the BS dimension of non-autonomous dynamical systems. 展开更多
关键词 non-autonomous dynamical systems BS dimension Bowen’s equation variational principle
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Formation tracking control for time-delayed multi-agent systems with second-order dynamics 被引量:8
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作者 Han Liang Dong Xiwang +1 位作者 Li Qingdong Ren Zhang 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2017年第1期348-357,共10页
In this paper, formation tracking control problems for second-order multi-agent systems(MASs) with time-varying delays are studied, specifically those where the position and velocity of followers are designed to for... In this paper, formation tracking control problems for second-order multi-agent systems(MASs) with time-varying delays are studied, specifically those where the position and velocity of followers are designed to form a time-varying formation while tracking those of the leader. A neighboring relative state information based formation tracking protocol with an unknown gain matrix and time-varying delays is presented. The formation tracking problems are then transformed into asymptotically stable problems. Based on the Lyapunov-Krasovskii functional approach, conditions sufficient for second-order MASs with time-varying delays to realize formation tracking are examined. An approach to obtain the unknown gain matrix is given and, since neighboring relative velocity information is difficult to measure in practical applications, a formation tracking protocol with time-varying delays using only neighboring relative position information is introduced. The proposed results can be used on target enclosing problems for MASs with second-order dynamics and time-varying delays. An application for target enclosing by multiple unmanned aerial vehicles(UAVs) is given to demonstrate the feasibility of theoretical results. 展开更多
关键词 Formation tracking control Multiple unmanned aerialvehicles second-order dynamics Time-delayed multi-agentsystems Time-varying formation
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Dynamical Consensus Algorithm for Second-Order Multi-Agent Systems Subjected to Communication Delay 被引量:2
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作者 刘成林 刘飞 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第6期773-781,共9页
To solve the dynamical consensus problem of second-order multi-agent systems with communication delay,delay-dependent compensations are added into the normal asynchronously-coupled consensus algorithm so as to make th... To solve the dynamical consensus problem of second-order multi-agent systems with communication delay,delay-dependent compensations are added into the normal asynchronously-coupled consensus algorithm so as to make the agents achieve a dynamical consensus. Based on frequency-domain analysis, sufficient conditions are gained for second-order multi-agent systems with communication delay under leaderless and leader-following consensus algorithms respectively. Simulation illustrates the correctness of the results. 展开更多
关键词 dynamical consensus second-order multi-agent systems communication delay delay-dependentcompensation
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Robust Pole Assignment in Descriptor Second-order Dynamical Systems 被引量:3
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作者 DUAN Guang-Ren HUANG Ling 《自动化学报》 EI CSCD 北大核心 2007年第8期888-892,共5页
关键词 鲁棒性 描述符 动力系统 本征结构赋值 本征值 灵敏性 极点配置
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Dynamic Interaction Analysis of Coupled Axial-Torsional-Lateral Mechanical Vibrations in Rotary Drilling Systems
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作者 Sabrina Meddah Sid Ahmed Tadjer +3 位作者 Abdelhakim Idir Kong Fah Tee Mohamed Zinelabidine Doghmane Madjid Kidouche 《Structural Durability & Health Monitoring》 EI 2025年第1期77-103,共27页
Maintaining the integrity and longevity of structures is essential in many industries,such as aerospace,nuclear,and petroleum.To achieve the cost-effectiveness of large-scale systems in petroleum drilling,a strong emp... Maintaining the integrity and longevity of structures is essential in many industries,such as aerospace,nuclear,and petroleum.To achieve the cost-effectiveness of large-scale systems in petroleum drilling,a strong emphasis on structural durability and monitoring is required.This study focuses on the mechanical vibrations that occur in rotary drilling systems,which have a substantial impact on the structural integrity of drilling equipment.The study specifically investigates axial,torsional,and lateral vibrations,which might lead to negative consequences such as bit-bounce,chaotic whirling,and high-frequency stick-slip.These events not only hinder the efficiency of drilling but also lead to exhaustion and harm to the system’s components since they are difficult to be detected and controlled in real time.The study investigates the dynamic interactions of these vibrations,specifically in their high-frequency modes,usingfield data obtained from measurement while drilling.Thefindings have demonstrated the effect of strong coupling between the high-frequency modes of these vibrations on drilling sys-tem performance.The obtained results highlight the importance of considering the interconnected impacts of these vibrations when designing and implementing robust control systems.Therefore,integrating these compo-nents can increase the durability of drill bits and drill strings,as well as improve the ability to monitor and detect damage.Moreover,by exploiting thesefindings,the assessment of structural resilience in rotary drilling systems can be enhanced.Furthermore,the study demonstrates the capacity of structural health monitoring to improve the quality,dependability,and efficiency of rotary drilling systems in the petroleum industry. 展开更多
关键词 Rotary drilling systems mechanical vibrations structural durability dynamic interaction analysis field data analysis
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Stabilization of second-order bilinear systems with time delay by a class of bounded feedbacks
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作者 Khalil El Kazoui Hassan Ezzaki 《Control Theory and Technology》 2025年第4期579-589,共11页
The stabilization problem of second-order bilinear systems with time delay is investigated.Feedback controls are chosen so that the strong and exponential stabilization of the system is ensured.The obtained results ar... The stabilization problem of second-order bilinear systems with time delay is investigated.Feedback controls are chosen so that the strong and exponential stabilization of the system is ensured.The obtained results are illustrated by wave and beam equations with simulation. 展开更多
关键词 second-order systems Bilinear systems Time delay Strong stabilization Exponential stabilization Wave equation Beam equation
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Chaotic Dynamics and Key Drivers in the Evolution of Tibetan Village Systems:A Case Study in Western Sichuan
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作者 Ding Fan Nor Zarifah Binti Maliki Siwei Yu 《Journal of Environmental & Earth Sciences》 2025年第3期112-132,共21页
This study examines the spatiotemporal evolution of Tibetan villages in western Sichuan through state transition models and predictive simulations to understand their complex dynamics and key driving factors.Using a c... This study examines the spatiotemporal evolution of Tibetan villages in western Sichuan through state transition models and predictive simulations to understand their complex dynamics and key driving factors.Using a combination of multivariate time-series analysis and chaotic attractor identification,the research identifies forest cover,economic growth,employment rates,road density,and communication network coverage as critical determinants of village trajectories.For instance,Molo Village recovers rapidly with a 10%increase in regional economic growth,while Xisuo Village becomes unstable with employment rate fluctuations above 2%.Shenzuo Village benefits from improved road density,and Minzu Village’s stability depends on forest cover.Jiangba Village relies on the growth of irrigated farmland and communication network coverage,whereas Kegeyi Village exhibits periodic dynamics and high sensitivity to employment variations.The findings underscore the inherent complexity and nonlinearity of rural systems,revealed through chaotic attractor analysis,which highlights the system’s sensitivity to initial conditions and external shocks.The article provides actionable insights into resilience mechanisms and offers practical recommendations for the sustainable development of culturally and ecologically sensitive regions.Emphasis on tailored management strategies is essential to meet the challenges faced by these unique systems in the face of modernization and environmental change. 展开更多
关键词 Nonlinear Analysis Chaotic Attractors Tibetan Villages Complex systems dynamic Behavior
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Algorithm for computing time correlation functions in non-stationary complex dynamic systems
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作者 Jiu Zhang Lifu Jin +4 位作者 Bo Zheng Xiongfei Jiang Tingting Chen Cong Xu Yanqing Hu 《Chinese Physics B》 2025年第3期77-83,共7页
For non-stationary complex dynamic systems,a standardized algorithm is developed to compute time correlation functions,addressing the limitations of traditional methods reliant on the stationary assumption.The propose... For non-stationary complex dynamic systems,a standardized algorithm is developed to compute time correlation functions,addressing the limitations of traditional methods reliant on the stationary assumption.The proposed algorithm integrates two-point and multi-point time correlation functions into a unified framework.Further,it is verified by a practical application in complex financial systems,demonstrating its potential in various complex dynamic systems. 展开更多
关键词 complex dynamic systems non-stationary states time correlation functions
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Efficient uncertainty computation method for solving mechanical dynamic systems with a large-scale of interval parameters
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作者 Jinglai Wu Yupeng Duan Yunqing Zhang 《Acta Mechanica Sinica》 2025年第10期213-231,共19页
This paper proposes a non-intrusive computational method for mechanical dynamic systems involving a large-scale of interval uncertain parameters,aiming to reduce the computational costs and improve accuracy in determi... This paper proposes a non-intrusive computational method for mechanical dynamic systems involving a large-scale of interval uncertain parameters,aiming to reduce the computational costs and improve accuracy in determining bounds of system response.The screening method is firstly used to reduce the scale of active uncertain parameters.The sequential high-order polynomials surrogate models are then used to approximate the dynamic system’s response at each time step.To reduce the sampling cost of constructing surrogate model,the interaction effect among uncertain parameters is gradually added to the surrogate model by sequentially incorporating samples from a candidate set,which is composed of vertices and inner grid points.Finally,the points that may produce the bounds of the system response at each time step are searched using the surrogate models.The optimization algorithm is used to locate extreme points,which contribute to determining the inner points producing system response bounds.Additionally,all vertices are also checked using the surrogate models.A vehicle nonlinear dynamic model with 72 uncertain parameters is presented to demonstrate the accuracy and efficiency of the proposed uncertain computational method. 展开更多
关键词 Large-scale interval parameters dynamic systems Screening method High-order polynomials surrogate model Sampling method
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Quantum Dynamics of Complex Systems
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作者 Xiang Sun 《Chinese Journal of Chemical Physics》 2025年第4期373-374,共2页
The ability to accurately simulate the time evolu-tion of quantum systems stands as a cornerstone of modern molecular science.It provides the essential mechanistic bridge between a system’s microscopic structure and ... The ability to accurately simulate the time evolu-tion of quantum systems stands as a cornerstone of modern molecular science.It provides the essential mechanistic bridge between a system’s microscopic structure and its macroscopic function,a challenge first envisioned by Feynman.The central difficulty,and the unifying theme of this Special Topic,is the problem of“complexity”:a multifaceted challenge arising from the interplay of strongly coupled electronic and vibrational degrees of freedom,quantum statistics,and the non-trivial,often non-Markovian,memory effects exerted by a surrounding environment. 展开更多
关键词 electronic vibrational degrees freedomquantum statistic quantum dynamics complex systems FEYNMAN electronic degrees freedom complexity molecular science mechanistic bridge
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Exploring charge migration dynamics in S-scheme photocatalytic systems
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作者 Meng Li Xuanhua Li Jahan B.Ghasemi 《Chinese Journal of Catalysis》 2025年第6期12-15,共4页
Natural photosynthesis,the cornerstone of life on Earth,has long inspired sustainable chemistry by converting solar energy into chemical energy,thereby maintaining atmospheric balance and supporting biological product... Natural photosynthesis,the cornerstone of life on Earth,has long inspired sustainable chemistry by converting solar energy into chemical energy,thereby maintaining atmospheric balance and supporting biological productivity.Mimicking this natural process,photocatalysis has emerged as a promising strategy for harnessing solar energy to drive chemical reactions with minimal environmental impact.This versatile approach finds applications in pollutant degradation,water purification,energy conversion,and organic synthesis.However,a major limitation of single-component photocatalysts is the rapid recombination of photogenerated charge carriers,significantly reducing their efficiency. 展开更多
关键词 maintaining atmospheric balance converting solar energy chemical energythereby pollutant degradationwater photocatalytic systems sustainable chemistry organic sy biological productivitymimicking charge migration dynamics
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Soliton Interactions and Collision Dynamics in a Variable-Coefficient Coupled Nonlocal Nonlinear Schrödinger Systems
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作者 Xinnan Cui Zhiyang Zhang +2 位作者 Muwei Liu Fenghua Qi Wenjun Liu 《Chinese Physics Letters》 2025年第10期68-74,共7页
The coupled nonlocal nonlinear Schrödinger equations with variable coefficients are researched using the nonstandard Hirota bilinear method.The two-soliton and double-hump one-soliton solutions for the equations ... The coupled nonlocal nonlinear Schrödinger equations with variable coefficients are researched using the nonstandard Hirota bilinear method.The two-soliton and double-hump one-soliton solutions for the equations are first obtained.By assigning different functions to the variable coefficients,we obtain V-shaped,Y-shaped,wave-type,exponential solitons,and so on.Next,we reveal the influence of the real and imaginary parts of the wave numbers on the double-hump structure based on the soliton solutions.Finally,by setting different wave numbers,we can change the distance and transmission direction of the solitons to analyze their dynamic behavior during collisions.This study establishes a theoretical framework for controlling the dynamics of optical fiber in nonlocal nonlinear systems. 展开更多
关键词 two soliton solutions soliton interactions assigning different functions collision dynamics nonstandard hirota bilinear methodthe nonstandard hirota bilinear method variable coefficient coupled nonlocal nonlinear schr dinger systems coupled nonlocal nonlinear schr dinger equations variable coefficients
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Robust adaptive dynamic surface control for nonlinear uncertain systems 被引量:5
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作者 朱永红 姜长生 费树岷 《Journal of Southeast University(English Edition)》 EI CAS 2003年第2期126-131,共6页
We propose a new method for robust adaptive backstepping control of nonlinear systems with parametric uncertainties and disturbances in the strict feedback form. The method is called dynamic surface control. Traditio... We propose a new method for robust adaptive backstepping control of nonlinear systems with parametric uncertainties and disturbances in the strict feedback form. The method is called dynamic surface control. Traditional backstepping algorithms require repeated differentiations of the modelled nonlinearities. The addition of n first order low pass filters allows the algorithm to be implemented without differentiating any model nonlinearities, thus ending the complexity arising due to the 'explosion of terms' that makes other methods difficult to implement in practice. The combined robust adaptive backstepping/first order filter system is proved to be semiglobally asymptotically stable for sufficiently fast filters by a singular perturbation approach. The simulation results demonstrate the feasibility and effectiveness of the controller designed by the method. 展开更多
关键词 nonlinear systems robust control adaptive control dynamic surface control UNCERTAINTIES
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STABILITY OF LINEAR TIME VARIANT DYNAMIC SYSTEMS WITH MULTIPLE TIME DELAYS 被引量:7
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作者 王在华 胡海岩 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1998年第3期274-282,共9页
By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involvi... By means of the frozen time approach and the Kronecker product, two criteria of asymptotic stability are derived for the linear, time variant dynamic systems with either short time delays or with weak feedback involving arbitrary time delays, respectively. It is found that the asymptotic stability of these retarded dynamic systems is governed by the maximal and minimal singular values of the coefficient matrices and their time derivatives. (Author abstract) 10 Refs. 展开更多
关键词 time delay STABILITY frozen time approach retarded dynamic systems
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A dynamic spectrum and power allocation method for co-located pulse radar and communication system coexistence
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作者 Youwei MENG Yaoyao LI +1 位作者 Shaoxiong CAI Donglin SU 《Chinese Journal of Aeronautics》 2025年第4期501-512,共12页
Airborne pulse radar and communication systems are essential for precise detection and collision avoidance,ensuring that aircraft operate safely and efficiently.A major challenge in spectrum sharing is the allocation ... Airborne pulse radar and communication systems are essential for precise detection and collision avoidance,ensuring that aircraft operate safely and efficiently.A major challenge in spectrum sharing is the allocation of resources in both the time and frequency domains,aiming to minimize inter-system interference as the available spectrum fluctuates over time.In this paper,regarding maximization of detection probability and spectrum utilization efficiency as two fundamental objectives,a novel Dynamic Spectrum and Power Allocation based on Genetic Algorithm(GA-DSPA)model is proposed,which dynamically allocates communication channel frequency and power under the constraints of pulse radar detection probability and signal-to-interferenceplus-noise ratio of communication.To solve this bi-objective model,a non-dominated sortingbased multi-objective genetic algorithm is developed.A novel environment perception strategy and offspring sorting technique based on radar echoes are integrated into the optimization framework.Simulation results indicate that by integrating environmental monitoring mechanisms and dynamic adaptation strategies,the proposed method effectively tracks the evolving Paretooptimal Fronts(Po Fs),thereby ensuring optimal performance for both co-located pulse radar and communication systems.Hardware test results confirm that within the GA-DSPA framework,the pulse radar achieves higher detection probabilities under identical conditions,while the communication system realizes increased average throughput. 展开更多
关键词 Communication systems dynamic multi-objective optimization Electromagnetic compatibility Radar-communication coexistence Spectrum and power allocation
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Cluster consensus of second-order multi-agent systems via pinning control 被引量:9
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作者 路晓庆 Francis Austin 陈士华 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第12期90-96,共7页
This paper investigates the cluster consensus problem for second-order multi-agent systems by applying the pinning control method to a small collection of the agents. Consensus is attained independently for different ... This paper investigates the cluster consensus problem for second-order multi-agent systems by applying the pinning control method to a small collection of the agents. Consensus is attained independently for different agent clusters according to the community structure generated by the group partition of the underlying graph and sufficient conditions for both cluster and general consensus are obtained by using results from algebraic graph theory and the LaSalle Invariance Principle. Finally, some simple simulations are presented to illustrate the technique. 展开更多
关键词 second-order multi-agent systems cluster consensus pinning control LaSalle invariance principle
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Formation-Containment Control Using Dynamic Event-Triggering Mechanism for Multi-Agent Systems 被引量:24
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作者 Amir Amini Amir Asif Arash Mohammadi 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第5期1235-1248,共14页
The paper proposes a novel approach for formationcontainment control based on a dynamic event-triggering mechanism for multi-agent systems.The leader-leader and follower-follower communications are reduced by utilizin... The paper proposes a novel approach for formationcontainment control based on a dynamic event-triggering mechanism for multi-agent systems.The leader-leader and follower-follower communications are reduced by utilizing the distributed dynamic event-triggered framework.We consider two separate sets of design parameters:one set comprising control and dynamic event-triggering parameters for the leaders and a second set similar to the first one with different values for the followers.The proposed algorithm includes two novel stages of codesign optimization to simultaneously compute the two sets of parameters.The design optimizations are convex and use the weighted sum approach to enable a structured trade-off between the formation-containment convergence rate and associated communications.Simulations based on non-holonomic mobile robot multi-agent systems quantify the effectiveness of the proposed approach. 展开更多
关键词 Co-design convex optimization dynamic event-triggered schemes formation-containment control multi-agent systems
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Implementation and Evaluation of Local Dynamic Map in Safety Driving Systems 被引量:13
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作者 Hideki Shimada Akihiro Yamaguchi +1 位作者 Hiroaki Takada Kenya Sato 《Journal of Transportation Technologies》 2015年第2期102-112,共11页
Cooperative safety driving systems using vehicle-to-vehicle and vehicle-to infrastructure communication are developed. Sensor data of vehicles and infrastructures are communicated in the cooperative safety driving sys... Cooperative safety driving systems using vehicle-to-vehicle and vehicle-to infrastructure communication are developed. Sensor data of vehicles and infrastructures are communicated in the cooperative safety driving system. LDM (Local Dynamic Map) is standardized by ETSI (European Telecommunications Standards Institute) to manage the vehicle sensor data and the map data. Implementations of LDM are reported on documents of ETSI, but there are no numerical results. The implementations of LDM are deployed the database management system. We think that the response time of the database becomes higher as the number of vehicles grows. In this paper, we have implemented and evaluated the LDM with the collision detection application. 展开更多
关键词 LOCAL dynamic MAP ITS COOPERATIVE SAFETY Driving systems
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Resilient Fixed-Order Distributed Dynamic Output Feedback Load Frequency Control Design for Interconnected Multi-Area Power Systems 被引量:5
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作者 Ali Azarbahram Amir Amini Mahdi Sojoodi 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第5期1139-1151,共13页
The paper proposes a novel H∞ load frequency control(LFC) design method for multi-area power systems based on an integral-based non-fragile distributed fixed-order dynamic output feedback(DOF) tracking-regulator cont... The paper proposes a novel H∞ load frequency control(LFC) design method for multi-area power systems based on an integral-based non-fragile distributed fixed-order dynamic output feedback(DOF) tracking-regulator control scheme. To this end, we consider a nonlinear interconnected model for multiarea power systems which also include uncertainties and timevarying communication delays. The design procedure is formulated using semi-definite programming and linear matrix inequality(LMI) method. The solution of the proposed LMIs returns necessary parameters for the tracking controllers such that the impact of model uncertainty and load disturbances are minimized. The proposed controllers are capable of receiving all or part of subsystems information, whereas the outputs of each controller are local. These controllers are designed such that the resilient stability of the overall closed-loop system is guaranteed. Simulation results are provided to verify the effectiveness of the proposed scheme. Simulation results quantify that the distributed(and decentralized) controlled system behaves well in presence of large parameter perturbations and random disturbances on the power system. 展开更多
关键词 dynamic OUTPUT FEEDBACK CONTROL interconnected multi-area POWER systems LOAD frequency CONTROL linear matrix INEQUALITIES POWER system CONTROL
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