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《Journal of The Franklin Institute》2023,360(7):4695-4718
In the digital age, rumor spreading is becoming more widespread and faster than ever before, and results in the more social panic and instability. Because of this, it is crucial to implement effective control strategies to prevent the continued spread of rumors, and avoid all kinds of unnecessary harm caused by rumors. In this paper, a stochastic rumor spreading model incorporating time delay within the framework of the event-triggered impulsive control (ETIC) strategies are presented. To begin with, the stability problem of this model is discussed and proved. Besides, the optimal ETIC strategies are explored by the particle swarm optimization (PSO) algorithm. Furthermore, some numerical simulations are performed to illustrate the optimal ETIC strategies of the given model. In addition, a real case is used to prove the validity of given model. Finally, the following conclusions are drawn that the stochastic model is feasible and consistent with actual rumor propagation trends, and ETIC strategies can help control rumors effectively. Meanwhile, different ETIC strategies should be used according to the different situations of rumor spreading. For instance, control strategies need to be more frequent and robust when transmission rates are higher or time delay are shorter. 相似文献
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This paper presents the optimal regulator for a linear system with state delay and a quadratic criterion. The optimal regulator equations are obtained using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs demonstrating better performance of the obtained optimal regulator are included. The paper then presents a robustification algorithm for the obtained optimal regulator based on integral sliding mode compensation of disturbances. The general principles of the integral sliding mode compensator design are modified to yield the basic control algorithm oriented to time-delay systems, which is then applied to robustify the optimal regulator. As a result, the sliding mode compensating control leading to suppression of the disturbances from the initial time moment is designed. The obtained robust control algorithm is verified by simulations in the illustrative example. 相似文献
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In this paper, we investigate the optimal denial-of-service attack scheduling problems in a multi-sensor case over interference channels. Multiple attackers aim to degrade the performance of remote state estimation under attackers’ energy constraints. The attack decision of one attacker may be affected by the others while all attackers find their own optimal strategies to degrade estimation performance. Consequently, the Markov decision process and Markov cooperative game in two different information scenarios are formulated to study the optimal attack strategies for multiple attackers. Because of the complex computations of the high-dimensional Markov decision process (Markov cooperative game) as well as the limited information for attackers, we propose a value iteration adaptive dynamic programming method to approximate the optimal solution. Moreover, the structural properties of the optimal solution are analyzed. In the Markov cooperative game, the optimal joint attack strategy which admits a Nash equilibrium is studied. Several numerical simulations are provided to illustrate the feasibility and effectiveness of the main results. 相似文献
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PWM整流器的直接电流控制策略和控制器的设计 总被引:1,自引:0,他引:1
本文对PWM整流器的控制策略进行了概述,并对各种控制策略做了相应的比较,并指出了各自的优缺点。其中重点介绍了直接电流控制技术的原理、PWM整流器d-q模型的建立及控制器设计,最后通过仿真验证了原理的正确性。 相似文献
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This paper addresses the optimal controller problem for a linear system over linear observations with respect to different Bolza–Meyer criteria, where (1) the integral control and state energy terms are quadratic and the non-integral term is of the first degree or (2) the control energy term is quadratic and the state energy terms are of the first degree. The optimal solutions are obtained as sliding mode controllers, each consisting of a sliding mode filter and a sliding mode regulator, whereas the conventional feedback LQG controller fails to provide a causal solution. Performance of the obtained optimal controllers is verified in the illustrative example against the conventional LQG controller that is optimal for the quadratic Bolza–Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode controllers. 相似文献
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Sliding mode regulator as solution to optimal control problem for non-linear polynomial systems 总被引:1,自引:0,他引:1
This paper presents the optimal control problem for a non-linear polynomial system with respect to a Bolza-Meyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a causal solution and, therefore, fails. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control. 相似文献
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《Journal of The Franklin Institute》2022,359(16):8713-8741
In this paper, the optimal driving torques of four wheels in an electric vehicle (EV) are obtained by minimizing the losses of four in-wheel motors. In order to slightly change these optimal torques for vehicle stability recovery, a new constrained active front steering (AFS) system is analytically designed and integrated with the torque vectoring (TV) system in a novel decentralized structure. In the proposed structure, the required external yaw moment is applied by the TV controller only when the constrained AFS is filled to capacity determined by a stability index extracted from the nonlinear phase plane analysis. As a result of this integration strategy, the external yaw moment is used as low as possible. Consequently, the torques in electrical motors are used near the optimal values consistent with optimal energy consumption. Comparative simulation studies with the standalone TV are conducted in the CarSim software environment to show the efficiency of the proposed decentralized control structure in terms of energy consumption and stability. Moreover, the suitability of the constrained control method used in the integration structure is shown in comparison with the well-known nonlinear model predictive control method in terms of practical implementation. 相似文献
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为节约电力资源,基于室内照明节能控制、人群流量监控和灯联网三个技术领域,提出了一种基于电力载波通信网络的室内照明节能控制和人群活动监控系统,可根据行人活动情况实现区域内灯具协同照明控制,达到在不影响照明体验情况下的最优节能控制并可同时实现人群活动热点监控功能。阐述了系统的工作原理及结构设计思路。该设计对于节能控制和人群活动监控具有一定的参考意义。 相似文献
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This paper presents the optimal quadratic-Gaussian controller for uncertain stochastic polynomial systems with linear control input and a quadratic criterion over linear observations. The optimal closed-form controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. As intermediate results, the paper gives closed-form solutions of the optimal regulator and controller problems for stochastic polynomial systems with linear control input and a quadratic criterion. Performance of the obtained optimal controller is verified in the illustrative example against the conventional quadratic-Gaussian controller that is optimal for stochastic polynomial systems with known parameters. Simulation graphs demonstrating overall performance and computational accuracy of the designed optimal controller are included. 相似文献
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H.R. Marzban 《Journal of The Franklin Institute》2004,341(3):279-293
A method for finding the optimal control of a linear time varying delay system with quadratic performance index is discussed. The properties of the hybrid functions which consists of block-pulse functions plus Legendre polynomials are presented. The operational matrices of integration, delay and product are utilized to reduce the solution of optimal control to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. 相似文献
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本文以不完全契约为基础,在金融契约和控制权配置理论的框架内,从缓解企业家与投资家相互套牢问题的角度,在扩展企业家风险偏好、假设企业状态变量不可证实的基础上,通过引入企业家事前努力水平、企业家与投资家讨价还价能力、企业中期绩效信号、投资家投资额、管理监督成本、项目清算价值等变量,建立了创业企业控制权动态配置模型,通过比较不同控制权配置方式下的双方收益与企业价值,确定控制权最优配置,研究表明:相机控制与投资家控制交替实现控制权最优配置;当企业家讨价还价能力较强时,或较弱时,如果绩效信号较低,投资家控制最优,企业价值不会随之变化;当企业家讨价还价能力较弱并低于临界值,如果绩效信号较高,相机控制最优,反之投资家控制最优,企业价值随之发生相应变化。 相似文献
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Timothy S. Farajian 《Journal of The Franklin Institute》2007,344(5):426-438
Vibration suppression of a structurally damped beam via open and closed-loop controls is investigated. In doing so, minimization of a weighted, energy-based performance measure leads to closed-form expressions for optimal open-loop parameters in terms of feedback gains. The control problem is then completed by optimizing these feedback parameters numerically. Methods to determine optimal terminal time of control are also presented. Furthermore, techniques are established to optimize the response and performance of a system experiencing a known feedback time delay. Different types of optimization are proposed and, for each one, the trade-off between performance and computational efficiency is fully discussed. 相似文献
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I.S. Sadek 《Journal of The Franklin Institute》2011,348(7):1656-1667
The present paper deals with an optimal boundary control problem in which the process of systems under consideration is governed by a linear parabolic partial differential equation over an infinite time interval. The objective of the paper is to determine the optimal boundary control that minimize a given energy-based performance measure. The performance measure is specified as a quadratic functional of displacement and a suitable penalty term involving the boundary controls. In order to determine the optimal boundary controls, the problem with boundary controls are converted into a problem with distributed controls. The modal space technique is then used to reduce the system into the optimal control of time invariant lumped parameter system. The associated system of uncoupled first order initial value problems is solved in terms of controllers. Next step deals with the computation of the control and trajectory of the linear time-invariant lumped parameter. For this we approximate the controllers by a finite number of orthogonal exponential zero-interpolants over the interval [0,∞). The resultant performance index after using the optimality condition leads to a system of linear algebraic equations. The suggested technique is easy to implement on digital computer. We provide a numerical example to demonstrate the applicability and efficiency of the proposed approach. 相似文献
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Xi-Sheng Zhan Zhi-Hong Guan Xian-He Zhang Fu-Shun Yuan 《Journal of The Franklin Institute》2013,350(10):3205-3216
The optimal tracking problem for single-input–single-output (SISO) networked control system over a communication channel with packet dropouts is studied in this paper. The tracking performance is measured by the energy of the error signal between the output of the plant and the reference signal. It is shown that the optimal tracking performance is constrained by nonminimum phase zeros, unstable poles, the characteristics of the reference signal and packet dropout probability, and the optimal controller is obtained. It is also shown that when the communication constraint does not exist, the optimal tracking performance reduces to the existing normal tracking performance of the control system without a communication channel. The result shows how the packet dropouts probability of a communication channel may fundamentally constrain a control system's tracking ability. Some typical examples and simulations are given to illustrate the theoretical results. 相似文献
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This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic cost function. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with time delay in observations, and then proved using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs and comparison tables demonstrating better performance of the obtained optimal regulator are included. 相似文献
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企业家(EN)的努力对项目的现金流有着重要的影响,基于此,本文将EN的努力分为:质量努力和管理努力,并研究了三种控制权安排(EN控制、投资家控制和条件控制)中的合同设计问题。通过建模分析研究表明:(1)EN拥有控制权的合同很难达到社会有效率,出让部分控制权的条件控制权安排总是社会有效率的,出让全部控制权虽然不能保证社会有效率,却大大扩大了融资范围;(2)再谈判虽然能保证EN控制事前、事后有效率,但再谈判不总是可行的,而且再谈判成本也会造成效率流失;(3)股权分配虽然能解决风险投资家(VC)控制下的事后无效率,但这以牺牲事前效率为代价;(4)VC拥有控制权时,如果VC获得的支付大于好状态下的清算值,那么合同是社会有效率的,如果VC获得的支付不大于好状态下的清算值,那么合同事前激励为零,事后无效率,最终项目必然清算;(5)VC的保留效用会影响控制权的安排,如果VC的保留效用高于一阶努力水平下的社会最优福利时,VC拥有控制权是最优的控制权安排。当VC的保留效用低于一阶努力水平下的社会最优福利时,并且再谈判成本趋近于0时,EN拥有控制权是最优的控制权安排;当VC的保留效用低于一阶努力水平下的社会最优福利时,如果再谈判成本不是无穷小量,则条件控制是最优的控制权安排。 相似文献
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Distributed dynamic event-triggered consensus control for multi-agent systems under fixed and switching topologies 总被引:1,自引:0,他引:1
Yifei Li Xiangdong Liu Haikuo Liu Changkun Du Pingli Lu 《Journal of The Franklin Institute》2021,358(8):4348-4372
This paper is devoted to the dynamic event-triggered consensus problem of general linear multi-agent systems under fixed and switching directed topologies. Two distributed dynamic event-triggered strategies, where internal dynamic variables are involved, are introduced for each agent to achieve consensus asymptotically. Compared with the existing static triggering strategies, the purposed dynamic triggering strategies result in larger inter-execution times and less communication energy among agents. In addition, neither controller updates nor triggering threshold detections require continuous communication in the purposed control strategies. It is also proven that the Zeno behavior is strictly ruled out under fixed and switching directed topologies. Finally, the effectiveness of the theoretical analysis is demonstrated by numerical simulations. 相似文献