This paper proposes a fixed-time distributed robust optimization approach for solving economic dispatch problems.Based on an integral sliding mode control scheme,the proposed multi-agent system converges to an optimal...This paper proposes a fixed-time distributed robust optimization approach for solving economic dispatch problems.Based on an integral sliding mode control scheme,the proposed multi-agent system converges to an optimal solution to an economic dispatch problem before a fixed time.In addition,the proposed multi-agent system can suppress the disturbance in a fixed time.To reduce the cost of sliding mode controls,we propose a distributed event-triggered intermittent control which reduces the sliding mode control time by setting a control triggering rule on the basis of two boundary functions of a Lyapunov function.The simulation results of three power systems illustrate the characteristics and effectiveness of the theoretical results.展开更多
This paper investigates the fixed-time synchronization problem of complex networks.A novel switching controller is proposed to solve the problem.The designed controller in this paper only needs intermittently to pin a...This paper investigates the fixed-time synchronization problem of complex networks.A novel switching controller is proposed to solve the problem.The designed controller in this paper only needs intermittently to pin a few of nodes,which could reduce the control time and save the system’s energy.Moreover,compared with the existing control methods for the fixed-time synchronization,the novel controller does not use the sign function,which could avoid the chattering behaviors.By constructing a Lyapunov function and designing a comparison system,some sufficient conditions are obtained to achieve the fixed-time synchronization.Finally,the numerical simulations could verify the effectiveness and feasibility of the proposed control approaches.展开更多
The idea of network splitting according to time delay and weight is introduced.Based on the cyber physical systems(CPS),a class of multi-weighted complex transportation networks with multiple delays is modeled.The fin...The idea of network splitting according to time delay and weight is introduced.Based on the cyber physical systems(CPS),a class of multi-weighted complex transportation networks with multiple delays is modeled.The finite-time synchronization of the proposed complex transportation networks model is studied systematically.On the basis of the theory of stability,the technique of adaptive control,aperiodically intermittent control and finite-time control,the aperiodically intermittent adaptive finite-time synchronization controller is designed.The controller designed in this paper is beneficial for understanding the synchronization in multi-weighted complex transportation networks with multiple delays.In addition,the conditions for the existence of finite time synchronization have been discussed in detail.And the specific value of the settling finite time for synchronization is obtained.Moreover,the outer coupling configuration matrices are not required to be irreducible or symmetric.Finally,simulation results of the finite-time synchronization problem are given to illustrate the correctness of the results obtained.展开更多
An intermittent controller for robotic manipulator in task space was developed in this paper.In task space,for given a desired time-varying trajectory,the robot end-effector can track the desired target under the desi...An intermittent controller for robotic manipulator in task space was developed in this paper.In task space,for given a desired time-varying trajectory,the robot end-effector can track the desired target under the designed intermittent controller.Different from most of the existing works on control of robotic manipulator,the intermittent control for robotic manipulator is discussed in task space instead of joint space.Besides,the desired trajectory can be time-varying and not limited to constant.As a direct application,the authors implemented the proposed controller on tracking of a two-link robotic manipulator in task space.Numerical simulations demonstrate the effectiveness and feasibility of the proposed intermittent control strategy.展开更多
The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different clusters can achieve different consensus.In this paper,the authors inves...The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different clusters can achieve different consensus.In this paper,the authors investigate the observer-based intra-cluster lag consensus problems of multi-agent systems(MASs)with general linear dynamics and nonlinear dynamics via intermittent adaptive pinning control.The interaction network is considered to be weakly connected,i.e.,it is not necessary to be strongly connected,in-degree balanced or contain a directed spanning tree.To realise the intra-cluster lag consensus,a class of observers is designed to estimate the states of followers.Then a class of observer-based intermittent adaptive pinning control protocols is proposed according to the difference that the agents receive information source.Moreover,the pinning gains are designed to be intermittent adaptive and have an exponential convergence rate,which will effectively reduce communication costs,avoid the pinning gains being larger than those needed in real applications and guarantee the pinning gains quickly converge to steady value.Correspondingly,some sufficient consensus criteria are derived and rigorous proofs are given based on matrix theory and Lyapunov stability theory.Finally,the effectiveness for the proposed intermittent adaptive pinning control strategy is validated by a numerical simulation.展开更多
The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper.The internal delay and distributed delay are also considered in the dynamic model of each agent,in which the delays can ...The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper.The internal delay and distributed delay are also considered in the dynamic model of each agent,in which the delays can be time-varying and large.The communication topology among agents is assumed to be directed and structurally balanced.On one hand,in order to guarantee scaled bipartite consensus of second-order multi-agent systems,an adaptive periodically intermittent control protocol is applied.On the other hand,some consensus criteria in the form of matrix inequalities are obtained by using Jensen inequality,Lyapunov stability theory and graph theory.Finally,a numerical simulation example is given to demonstrate the feasibility of theoretical results.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.62173308)the Natural Science Foundation of Zhejiang Province of China(Grant Nos.LR20F030001 and LD19A010001)Jinhua Science and Technology Project(Grant No.2022-1-042)。
文摘This paper proposes a fixed-time distributed robust optimization approach for solving economic dispatch problems.Based on an integral sliding mode control scheme,the proposed multi-agent system converges to an optimal solution to an economic dispatch problem before a fixed time.In addition,the proposed multi-agent system can suppress the disturbance in a fixed time.To reduce the cost of sliding mode controls,we propose a distributed event-triggered intermittent control which reduces the sliding mode control time by setting a control triggering rule on the basis of two boundary functions of a Lyapunov function.The simulation results of three power systems illustrate the characteristics and effectiveness of the theoretical results.
基金supported in part by the National Social Science Fund under Grant No.18BTJ025in part by the Scientific Research Starting Project of SWPU under Grant No.2019QHZ018in part by the Youth Innovation Team of SWPU under Grant No.2019CXTD08。
文摘This paper investigates the fixed-time synchronization problem of complex networks.A novel switching controller is proposed to solve the problem.The designed controller in this paper only needs intermittently to pin a few of nodes,which could reduce the control time and save the system’s energy.Moreover,compared with the existing control methods for the fixed-time synchronization,the novel controller does not use the sign function,which could avoid the chattering behaviors.By constructing a Lyapunov function and designing a comparison system,some sufficient conditions are obtained to achieve the fixed-time synchronization.Finally,the numerical simulations could verify the effectiveness and feasibility of the proposed control approaches.
基金Project supported by the National Natural Science Foundation of China(Grant No.61803275)Liaoning Provincial Department of Education Scientific Research Fund Project,China(Grant Nos.lnjc202018 and lnzd202007)+1 种基金Liaoning BaiQianWan Talents Program(Grant No.2017076)Liaoning Province Doctor Starting Foundation(Grant No.20170520283).
文摘The idea of network splitting according to time delay and weight is introduced.Based on the cyber physical systems(CPS),a class of multi-weighted complex transportation networks with multiple delays is modeled.The finite-time synchronization of the proposed complex transportation networks model is studied systematically.On the basis of the theory of stability,the technique of adaptive control,aperiodically intermittent control and finite-time control,the aperiodically intermittent adaptive finite-time synchronization controller is designed.The controller designed in this paper is beneficial for understanding the synchronization in multi-weighted complex transportation networks with multiple delays.In addition,the conditions for the existence of finite time synchronization have been discussed in detail.And the specific value of the settling finite time for synchronization is obtained.Moreover,the outer coupling configuration matrices are not required to be irreducible or symmetric.Finally,simulation results of the finite-time synchronization problem are given to illustrate the correctness of the results obtained.
基金the National Natural Science Foundation of China under Grant No.61603174the Natural Science Foundation of Fujian under Grant No.2020J01793。
文摘An intermittent controller for robotic manipulator in task space was developed in this paper.In task space,for given a desired time-varying trajectory,the robot end-effector can track the desired target under the designed intermittent controller.Different from most of the existing works on control of robotic manipulator,the intermittent control for robotic manipulator is discussed in task space instead of joint space.Besides,the desired trajectory can be time-varying and not limited to constant.As a direct application,the authors implemented the proposed controller on tracking of a two-link robotic manipulator in task space.Numerical simulations demonstrate the effectiveness and feasibility of the proposed intermittent control strategy.
基金supported in part by the National Natural Science Foundation of China under Grant Nos.61977004 and 61503016in part by the Fundamental Research Funds for the Central Universities under Grant Nos.YWF20-BJ-J-634 and YWF-19-BJ-J-259。
文摘The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different clusters can achieve different consensus.In this paper,the authors investigate the observer-based intra-cluster lag consensus problems of multi-agent systems(MASs)with general linear dynamics and nonlinear dynamics via intermittent adaptive pinning control.The interaction network is considered to be weakly connected,i.e.,it is not necessary to be strongly connected,in-degree balanced or contain a directed spanning tree.To realise the intra-cluster lag consensus,a class of observers is designed to estimate the states of followers.Then a class of observer-based intermittent adaptive pinning control protocols is proposed according to the difference that the agents receive information source.Moreover,the pinning gains are designed to be intermittent adaptive and have an exponential convergence rate,which will effectively reduce communication costs,avoid the pinning gains being larger than those needed in real applications and guarantee the pinning gains quickly converge to steady value.Correspondingly,some sufficient consensus criteria are derived and rigorous proofs are given based on matrix theory and Lyapunov stability theory.Finally,the effectiveness for the proposed intermittent adaptive pinning control strategy is validated by a numerical simulation.
基金supported by the State Key Research Project under Grant No.2018YFD0400902the National Science Foundation under Grant No.61873112+1 种基金the Education Ministry and China Mobile Science Research Foundation under Grant No.MCM20170204Jiangsu Key Construction Laboratory of IoT Application Technology under Grant Nos.190449 and 190450。
文摘The scaled bipartite consensus of second-order multi-agent systems is investigated in this paper.The internal delay and distributed delay are also considered in the dynamic model of each agent,in which the delays can be time-varying and large.The communication topology among agents is assumed to be directed and structurally balanced.On one hand,in order to guarantee scaled bipartite consensus of second-order multi-agent systems,an adaptive periodically intermittent control protocol is applied.On the other hand,some consensus criteria in the form of matrix inequalities are obtained by using Jensen inequality,Lyapunov stability theory and graph theory.Finally,a numerical simulation example is given to demonstrate the feasibility of theoretical results.
