The main aim of this work is to design a non-fragile sampled data control(NFSDC) scheme for the asymptotic synchronization criteria for interconnected coupled circuit systems(multi-agent systems, MASs). NFSDC is used ...The main aim of this work is to design a non-fragile sampled data control(NFSDC) scheme for the asymptotic synchronization criteria for interconnected coupled circuit systems(multi-agent systems, MASs). NFSDC is used to conduct synchronization analysis of the considered MASs in the presence of time-varying delays. By constructing suitable Lyapunov functions, sufficient conditions are derived in terms of linear matrix inequalities(LMIs) to ensure synchronization between the MAS leader and follower systems. Finally, two numerical examples are given to show the effectiveness of the proposed control scheme and less conservation of the proposed Lyapunov functions.展开更多
Time delay is an inherent characteristic of real-world phenomena which may affect the system's characteristic.The systems including delay are known as time-delay systems,they are represented using delay differenti...Time delay is an inherent characteristic of real-world phenomena which may affect the system's characteristic.The systems including delay are known as time-delay systems,they are represented using delay differential equations.Modeling,discretisation,stability and control design for time-delay systems are still challenging in modern control theory.This paper systematically overviews available discretisation methods of linear and nonlinear time-delay systems.Emphasis is placed on illustrating fundamental results and recent progress on discretisation methods for delay systems.Numerous methods for the discretisation of linear and nonlinear systems considering input delays,state or output delays in the system's dynamics have been presented.A particular attention will be paid to illustrate effects of the discretisation process on the stability of discretised systems.Examples of mathematical descriptions,problems,and performance analysis for delay systems are presented.The presentation of discretisation methods is as easy as possible,focussing more on the main ideas and mathematical concepts by analogy.Finally,some possible future research directions to be tackled by researchers in this field are discussed.展开更多
基金Project supported by the National Natural Science Foundation of China(No.62103103)the Natural Science Foundation of Jiangsu Province,China(No.BK20210223)。
文摘The main aim of this work is to design a non-fragile sampled data control(NFSDC) scheme for the asymptotic synchronization criteria for interconnected coupled circuit systems(multi-agent systems, MASs). NFSDC is used to conduct synchronization analysis of the considered MASs in the presence of time-varying delays. By constructing suitable Lyapunov functions, sufficient conditions are derived in terms of linear matrix inequalities(LMIs) to ensure synchronization between the MAS leader and follower systems. Finally, two numerical examples are given to show the effectiveness of the proposed control scheme and less conservation of the proposed Lyapunov functions.
文摘Time delay is an inherent characteristic of real-world phenomena which may affect the system's characteristic.The systems including delay are known as time-delay systems,they are represented using delay differential equations.Modeling,discretisation,stability and control design for time-delay systems are still challenging in modern control theory.This paper systematically overviews available discretisation methods of linear and nonlinear time-delay systems.Emphasis is placed on illustrating fundamental results and recent progress on discretisation methods for delay systems.Numerous methods for the discretisation of linear and nonlinear systems considering input delays,state or output delays in the system's dynamics have been presented.A particular attention will be paid to illustrate effects of the discretisation process on the stability of discretised systems.Examples of mathematical descriptions,problems,and performance analysis for delay systems are presented.The presentation of discretisation methods is as easy as possible,focussing more on the main ideas and mathematical concepts by analogy.Finally,some possible future research directions to be tackled by researchers in this field are discussed.
