Extended adaptive event-triggered formation tracking control of a class of multi-agent systems with time-varying delay

Li, Tao; Li, Zhipeng; Shen, Shaobo; Fei, Shumin

doi:10.1016/j.neucom.2018.08.019

Cited by 25 publications

(28 citation statements)

References 41 publications

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“…where 1 = ||G|| √ n(n+1) 2 (2m 1 + m 2 e d ), and 2 = m 2 ||G|| √ n(n+1) 2 . Combining (5), (6),(8), (9), Lemma 3, and Assumption 3, one can get…”

Section: State Feedback Controlmentioning

confidence: 97%

“…Remark 5. Although the controllers (9) and (22) are complex, this type of controller has been used in recent research works on nonlinear system, such as the works of Yoo, 13 Xing et al, 36 Chang et al, 40 and Wang et al 41 Moreover, the idea of the controller design in this paper is derived from the controller design in the work of Wang et al 41 The controllers (9) and (22) are obtained by using the characteristics of hyperbolic tangent function and adaptive estimation combined with our familiar triangular system. Remark 6.…”

Section: Output Feedback Controlmentioning

confidence: 99%

“…As one of the most significant problems in the research of MASs, the tracking control problem has emerged as a popular topic and received lots of attention in the realm of control. A lot of achievements have been obtained in tracking control problem of linear MASs . However, almost all physical systems are nonlinear; therefore, some scholars have studied the tracking control problem of nonlinear MASs and procured a great many of results.…”

Section: Introductionmentioning

confidence: 99%

“…A lot of achievements have been obtained in tracking control problem of linear MASs. [6][7][8][9][10] However, almost all physical systems are nonlinear 11,12 ; therefore, some scholars have studied the tracking control problem of nonlinear MASs and procured a great many of results. The distributed consensus tracking control problem for multiple strict-feedback systems was researched in the work of Yoo.…”

Section: Introductionmentioning

confidence: 99%

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Tracking control for nonlinear time‐delay multiagent systems with input saturation

Duan

Zhang

Kong

et al. 2019

Adaptive Control & Signal

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Summary In this paper, the tracking control problem for a class of nonlinear time‐delay multiagent systems with input saturation is considered. The nonlinear dynamics are dominated by strict‐feedback form and satisfy Lipschitz conditions with constant gains. First, it indicated that the tracking control problem is equivalent to a general bound problem of high‐dimensional multivariable systems. Second, an ingenious state transformation is utilized to change the bound problem into the parameter design problem. Third, by the static gain control technique and the hyperbolic tangent function, both state feedback and output feedback controllers are built such that all signals of the closed‐loop systems are globally bounded, and the tracking errors between the followers and the leader can converge to a small neighborhood around the origin by appropriately selecting parameters. Finally, an example is shown to verify the feasibility of our results.

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“…where 1 = ||G|| √ n(n+1) 2 (2m 1 + m 2 e d ), and 2 = m 2 ||G|| √ n(n+1) 2 . Combining (5), (6),(8), (9), Lemma 3, and Assumption 3, one can get…”

Section: State Feedback Controlmentioning

confidence: 97%

Section: Output Feedback Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Tracking control for nonlinear time‐delay multiagent systems with input saturation

Duan

Zhang

Kong

et al. 2019

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…Thus, it is critical to address the formation control problem for MASs with communication delays. Extensive efforts have been put into the challenging problem [30–40]. In [31], the authors studied the tracking control problem of a set of discrete‐time heterogeneous MASs with random communication delays represented by a Markov chain.…”

Section: Introductionmentioning

confidence: 99%

Observer‐based formation tracking control for leader–follower multi‐agent systems

Zhao

Zhang

2019

IET Control Theory & Applications

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Fully distributed bipartite time‐varying formation control for uncertain linear multi‐agent systems under event‐triggered mechanism

Cai

Zhang

2021

Intl J Robust & Nonlinear

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This paper addresses the distributed bipartite time-varying formation control for uncertain linear multi-agent systems under limited communication resources.First, the distributed static bipartite control protocol with sampled data is proposed to address the time-varying formation issue. It is noteworthy that in both controller updating and triggering condition monitoring, the communication is only occurred at sampling instants, which saves communication resources and reduces communication burden effectively. Moreover, the nonlinear term in static controller is used to suppress the effect of system uncertainty. Then the fully distributed adaptive bipartite event-triggered control protocol is put forward such that the time-varying formation control can be achieved. Different from the existing results on formation control, the proposed adaptive controller has the following four highlights: (1) it is fully distributed since the global information of network topology and the upper bound of uncertainty are not required; (2) the communication between neighbor agents is conducted at intermittent triggering instants, not real-time, which reduces the communication bandwidth significantly; (3) the communication between neighbors can not only be cooperative, but also be antagonistic, which is more realistic; and (4) the effect of system uncertainty can be suppressed. Furthermore, it is proven that there is no Zeno behavior in both triggering mechanisms. Finally, some numerical examples are presented to demonstrate the feasibility of the main theoretical findings.

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Extended adaptive event-triggered formation tracking control of a class of multi-agent systems with time-varying delay

Cited by 25 publications

References 41 publications

Tracking control for nonlinear time‐delay multiagent systems with input saturation

Tracking control for nonlinear time‐delay multiagent systems with input saturation

Observer‐based formation tracking control for leader–follower multi‐agent systems

Fully distributed bipartite time‐varying formation control for uncertain linear multi‐agent systems under event‐triggered mechanism

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