Consensus of nonlinear multi–agent systems with distributed event–triggered impulsive control

Tang, Weijun; Li, Kun; Wu, Jia; Xie, Yongfang

doi:10.1177/1077546320985978

Cited by 7 publications

(5 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Renew Sub-controller in S B For the sub-system S B , the Lyapunov function is chosen the same as that in S A (21), and the controller can be designed in a similar way, thus the detailed expressions are directly given without redundant analysis:…”

Section: Step 2: Uniform Stable Controller Designmentioning

confidence: 99%

“…In the following steps, the signal h A is designed to stabilize the system, assisted by the common Lyapunov function (21). The time derivative of V in S A , with sub-controller u A , can be calculated aṡ…”

Section: Step 2: Uniform Stable Controller Designmentioning

confidence: 99%

“…Hybrid systems widely exist in real life as pointed out in [1], and have received extensive attention in many fields, such as communication networks ( [2,3]), renewable energy systems ( [4,5]), legged locomotion ( [6,7,8]), circuit and power systems ( [9,10,11,12]), ecology ( [13,14]), sampled-data systems/control ( [15,16,17]), humancomputer interaction ( [18,19,20]), multi-agent systems ( [21,22]). A hybrid system contains both continuous and discrete variables, which interact with each other, yielding rich dynamical behaviors different from those in traditional mono-dynamic continuous/discrete systems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Controller Design For Hybrid Systems With Nonlinear Sub-Systems Using Common Lyapunov Functions

Fan¹,

Fang²,

Wu³

et al. 2021

Preprint

View full text Add to dashboard Cite

Hybrid systems are common in real life and have been studied in many different fields. However, due to the interaction of different sub-systems, a hybrid system is much more complex than a mono-dynamic one, where great challenges are confronted when seeking stable controllers either for linear or nonlinear systems. The traditional design scheme for such a system, namely, to design a controller for each sub-system separately, cannot yield satisfactory performance, since the switches between sub-systems are not specifically considered. In fact, the controllers constructed in this way are usually of poor performance, or even unstable, as a disastrous effect caused by the alternation of sub-systems. In this paper, considering the aforementioned problem, a control scheme is proposed to design suitable controllers for hybrid systems to achieve overall stabilization by taking account of the switching behaviors of the system, as well as its sub-systems carefully. The design scheme consists of two steps, wherein the first step aims to design sub-controllers for different sub-systems, usually with different Lyapunov functions, while a common Lyapunov function candidate is composed in the second step to modify the previously designed sub-controllers correspondingly. Following this design scheme, not only the stability, but also the performance of the closed-loop hybrid systems, is successfully guaranteed. Some simulation results are provided to show the satisfactory performance of the proposed design scheme.

show abstract

Section: Step 2: Uniform Stable Controller Designmentioning

confidence: 99%

Section: Step 2: Uniform Stable Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Controller Design For Hybrid Systems With Nonlinear Sub-Systems Using Common Lyapunov Functions

Fan¹,

Fang²,

Wu³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In recent years, the topics about cooperative control of multi-agent systems have become more and more popular, partly because it has a wide range of applications including pilotless vehicles, formation control, and clustering Qin et al (2017); Zamanian et al (2020); Hu et al (2021); Tang et al (2022).…”

Section: Introductionmentioning

confidence: 99%

Fully distributed containment of a class of disturbed nonlinear multi-agent systems

Liu

Ren

Zhang

2023

Journal of Vibration and Control

View full text Add to dashboard Cite

In this paper, the fully distributed containment problem is investigated for a class of second-order nonlinear multi-agent systems (MASs) with disturbance and uncertain control coefficient. In the dynamics of the multi-agent systems, the nonlinear term of the multi-agent systems is Lipshitz, the leaders are subject to bounded inputs, and the disturbances are also bounded. But, the Lipshitz constant, the upper bounds of the disturbances and the leaders’ control inputs are unknown; thus, they cannot be used for the design of feedback control. To overcome the difficulty from such unknown bounds and uncertain coefficient, a new fully distributed adaptive protocol is proposed by combining the Lyapunov analysis and adaptive control technique, which based only on relative states of neighboring agents without using any global information, such that the states of the followers converge to the convex hull formed by the states of the leaders. Compared with the existing works, one main contribution is that only one adaptive gain is adopted in the fully distributed adaptive protocol to deal with containment problem of second-order nonlinear MASs, where four unknown parameters are involved. Two simulation examples are given to show the performance of the proposed protocol.

show abstract

“…Impulsive control protocols based on impulsive systems which are characterized by abrupt changes in their evolution at certain instant, have been proposed by scholars [18]. As a powerful non-continuous control method, impulsive control is a control strategy that only applies control at certain discrete sampling points [19][20][21][22] to change the system state, as compared to continuous control methods such as state feedback control [23]. Impulsive control is considered an effective control strategy [24] because it has significant advantages over complex systems that cannot tolerate or receive continuous control inputs [25].…”

Section: Introductionmentioning

confidence: 99%

Leader-Follower Quasi-Consensus of Multi-Agent Systems with Packet Loss Using Event-Triggered Impulsive Control

Chen

Peng

2023

Mathematics

View full text Add to dashboard Cite

This paper focuses on the leader–follower quasi-consensus problem of multi-agent systems, considering the practical communication scenarios which involve packet loss. The phenomenon of packet loss is described in terms of the packet loss rate. A novel hybrid event-triggered impulsive control strategy is proposed, the Lyapunov stability theory is employed to derive sufficient conditions for realizing the leader–follower quasi-consensus, and the exclusion of Zeno behavior is demonstrated. Finally, a numerical simulation example is provided to verify the effectiveness of the proposed approach. The simulation results indicate that the packet loss rate is closely related to the control gain and the maximum triggered interval, specifically because as the packet loss rate increases, the trigger frequency also increases.

show abstract

Consensus of nonlinear multi–agent systems with distributed event–triggered impulsive control

Cited by 7 publications

References 28 publications

Controller Design For Hybrid Systems With Nonlinear Sub-Systems Using Common Lyapunov Functions

Controller Design For Hybrid Systems With Nonlinear Sub-Systems Using Common Lyapunov Functions

Fully distributed containment of a class of disturbed nonlinear multi-agent systems

Leader-Follower Quasi-Consensus of Multi-Agent Systems with Packet Loss Using Event-Triggered Impulsive Control

Contact Info

Product

Resources

About