Consensus conditions for higher-order descriptor multi-agent systems with communication time-delays

Gao, Zhiyun; Zhang, Huaguang; Duan, Jie; Cai, Yuliang

doi:10.1177/0142331220906634

Cited by 6 publications

(4 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consensus is a significant behavior of multi-agent systems, in which the agents depend upon neighboring information and aggregate to a common value (Sun and Wang, 2020a). Because of the wide applications, a large number of results of the consensus problems have been reported for decades (Fu, 2021; Gao et al, 2020; Wu et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Consensus of piecewise time-varying multi-agent systems with switching topologies

Sun

Guo

Liu

2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

In this paper, a consensus problem is first investigated for piecewise time-varying multi-agent systems with switching topologies. Due to the piecewise time-varying characteristics of system matrix, it is challenging to design an appropriate controller to stabilize the error state within each piecewise time period. To overcome this difficulty, a piecewise time-varying Lyapunov function (PTVLF) approach is proposed to analyze the piecewise time-varying systems. Then, a useful lemma guaranteeing the negative definiteness of matrix polynomials is first derived, which is utilized to prove the negative definiteness of the derivative for the PTVLF. Based on this, a novel controller with time-varying gain is presented to stabilize the error state within each piecewise time period. Then, by selecting the dwell time of each topology larger than a positive threshold, the overall consensus of such systems is guaranteed. Finally, a numerical simulation is shown to illustrate the theoretical results.

show abstract

Section: Introductionmentioning

confidence: 99%

Consensus of piecewise time-varying multi-agent systems with switching topologies

Sun

Guo

Liu

2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…Furthermore, most of the aforementioned results did not take time delay into account, while there are serious time delay problems in the practical application of the MAS, for instance, the unmanned vehicle control and aircraft (Kao et al, 2015; Karimi, 2012; Wang et al, 2015). The existence of time delay in the system may degrade the performance of the system and even endanger its stability (Gao et al, 2020; Zhang et al, 2016). Time delay is an inevitable influence factor in MAS, so it should be taken into consideration when designing the control protocol to address the consensus control issue of MAS (Meng et al, 2016; Ponomarev et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Adaptive consensus control for a class of nonlinear multi-agent systems with unknown time delays and external disturbances

Liu

Wang

Song

2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

This paper investigates a class of unknown nonlinear multi-agent systems with unknown time delays and external disturbances. The external disturbance considered in this paper is completely unknown, and the accurate mathematical expression cannot be obtained. To eliminate the external disturbance, a disturbance observer is constructed by the Disturbance-Observer-Based-Control (DOBC) method. By utilizing Young’s inequality scaling technique, the problem of time delay is solved. By assuming that the communication graph among the agents is directed and connected, a novel distributed adaptive consensus control protocol is established based on the relative output information to achieve the goal of consensus control. Furthermore, the stability of the multi-agent system is analyzed by selecting an appropriate Lyapunov function; it is certified that with the proposed control protocol, all signals are guaranteed to be globally uniformly bounded, and the considered multi-agent systems can reach consensus even in the presence of time delay and external disturbance. Finally, two simulation examples are given to support the proposed control strategy.

show abstract

“…Many systems have high-order dynamics characteristics, and high-order systems can also describe the dynamic characteristics of the system more accurately. The study of the consistency of high-order systems has important practical significance and theoretical value, which has also inspired many scholars to discuss and study the consensus of high-order systems (Gao et al, 2020; Hu et al, 2018; Hua et al, 2016; You et al, 2019). Abdessameud and Tayebi (2018) designed a fully distributed consensus algorithm by employing the static state feedback approach to study the consensus issue under general directed graphs.…”

Section: Introductionmentioning

confidence: 99%

“…For the solution of the bipartite consensus issue with time-delay systems, the theory of Lyapunov asymptotic stability based on the above-mentioned stability problems is used to construct a Lyapunov–Krasovskii functional with time-delay information to analyze it. Different from Liu et al (2014) and Gao et al (2020), the bipartite consensus of high-order systems in coopetition networks is studied. Different from Zhang and Chen (2017) and Wen et al (2017), we consider the bipartite consensus problem of high-order systems with non-uniform time-varying delays.…”

Section: Introductionmentioning

confidence: 99%

Bipartite consensus-based formation control of high-order multi-robot systems with time-varying delays

Lü¹,

Zong²,

Li³

et al. 2021

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

This paper considers a multi-robot formation control scheme for high-order bipartite consensus under time-varying delays. First, a third-order bipartite consensus protocol under time-varying delays is presented, and then a high-order bipartite consensus protocol is extended from it. Then, necessary and sufficient conditions for third-order and high-order multi-agent systems without time-delays are given to attain bipartite consensus following the protocols. Communication time-delays are added to the protocols, and the theory of Lyapunov asymptotic stability is used to obtain sufficient conditions for the multi-agent systems with communication delays to ultimately attain a bipartite consensus. Furthermore, the given protocol is employed for the formation control of multi-robot systems, and a formation control scheme for multi-robot systems with time-varying delays is proposed. Finally, a few simulations are implemented to demonstrate the rationality and availability of the method.

show abstract

Consensus conditions for higher-order descriptor multi-agent systems with communication time-delays

Cited by 6 publications

References 37 publications

Consensus of piecewise time-varying multi-agent systems with switching topologies

Consensus of piecewise time-varying multi-agent systems with switching topologies

Adaptive consensus control for a class of nonlinear multi-agent systems with unknown time delays and external disturbances

Bipartite consensus-based formation control of high-order multi-robot systems with time-varying delays

Contact Info

Product

Resources

About