Event-Triggered Pinning Control of Switching Networks

Adaldo, Antonio; Alderisio, Francesco; Liuzza, Davide; Shi, Guodong; Dimarogonas, Dimos V.; Bernardo, Mario di; Johansson, Karl Henrik

doi:10.1109/tcns.2015.2428531

Cited by 149 publications

(51 citation statements)

References 33 publications

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“…The proposed event‐triggering mechanism can be simply implemented without the adaptive mirror model used in the work of Li and Yang since only one triggering condition is required. In addition, the input‐to‐state stability assumption in the work of Postoyan et al and the global Lipschitz requirement in the work of Adaldo et al were both removed …”

Section: Resultsmentioning

confidence: 99%

“…As such, this system can automatically be reinstated, unlike the auxiliary system in the works of Chen et al and Jin . (iii) Different from the event‐triggered control methods in other related works, the proposed method can guarantee that the tracking error does not exceed a prespecified performance bound with finite‐time convergence. (iv) By introducing a smooth approximation function, the control signals are continuous and differentiable.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered control for a saturated nonlinear system with prescribed performance and finite‐time convergence

Zheng

Lau

Xie

2018

Intl J Robust & Nonlinear

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Summary This paper presents an event‐triggered controller for a class of saturated uncertain nonlinear systems. We develop a performance constrained finite‐time controller to guarantee that the tracking error converges at a prescribed convergence rate and does not exceed the given maximum overshoot. A smooth function is designed to replace the absolute and signum operators in existing finite‐time controllers that lead to nondifferentiable virtual controls. Then, a novel backstepping design consisting of an adaptive law and an auxiliary system governed by a smooth switching function is developed to compensate for the uncertainty, the triggering event threshold, and the saturation constraint. Theoretical analysis demonstrates that under the proposed controller, all closed‐loop signals are bounded and the Zeno behavior is avoided. Furthermore, the tracking error will converge toward a residual set in finite time, and the prescribed transient and steady tracking performance bounds are never violated. Results from a comparative simulation study illustrate the effectiveness and advantages of the proposed method.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Event‐triggered control for a saturated nonlinear system with prescribed performance and finite‐time convergence

Zheng

Lau

Xie

2018

Intl J Robust & Nonlinear

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“…Event-triggered control scheme is updated only when an event is triggered, which is different from the traditional timedriven control scheme (Adaldo et al, 2015;Forni, Galeani, Nesic, & Zaccarian, 2014;Hu, Cao, Hu, & Guo, 2015a;Wang, Zhang, & Han, 2015;. Some results onevent-triggered consensus of multi-agent systems have been obtained recently (Guo, Ding, & Han, 2014;Hu, Cao, Hu, & Guo, 2015b;Weng & Yue, 2015;Zhang, Hao, Zhang, & Wang, 2014;Zhang, Feng, Yan, & Chen, 2014;Zhou, Liao, Huang, & Chen, 2015).…”

Section: Introductionmentioning

confidence: 99%

Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control

Wang¹,

Yang

2016

International Journal of Systems Science

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This paper investigates the consensus problem of leader-following multi-agent systems with fractionalorder nonlinear dynamics. A typical event is defined as some error signals exceeding a given threshold. By applying Lyapunov functional approach and skills of computing function limit, consensus of the controlled multi-agent systems can be reached asymptotically. Meanwhile, the event-triggered algorithm can exclude Zeno behaviours. Finally, a numerical simulation is exploited to verify the effectiveness of the theoretical result.

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“…A limitation of the event-control law proposed in Dimarogonas et al (2012) is that it requires continuous communication between neighboring nodes to constantly monitor whether the designed events occur or not. In Almeida et al (2014), Liuzza et al (2013), Adaldo et al (2014Adaldo et al ( , 2015, the authors studied the event-triggered consensus of multiagent systems. A limitation of the event-control law proposed in Almeida et al (2014), Liuzza et al (2013) and Adaldo et al (2014Adaldo et al ( , 2015 is that their triggering threshold functions only depend on continuous-time nonincreasing threshold function, which is independent of the states of nodes.…”

Section: Introductionmentioning

confidence: 99%

“…In Almeida et al (2014), Liuzza et al (2013), Adaldo et al (2014Adaldo et al ( , 2015, the authors studied the event-triggered consensus of multiagent systems. A limitation of the event-control law proposed in Almeida et al (2014), Liuzza et al (2013) and Adaldo et al (2014Adaldo et al ( , 2015 is that their triggering threshold functions only depend on continuous-time nonincreasing threshold function, which is independent of the states of nodes. In Zhu et al (2014), the authors studied event-based consensus of general linear multi-agent systems.…”

Section: Introductionmentioning

confidence: 99%

Event-based exponential synchronization of complex networks

2016

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In this paper, we consider exponential synchronization of complex networks. The information diffusions between nodes are driven by properly defined events. By employing the M-matrix theory, algebraic graph theory and the Lyapunov method, two kinds of distributed eventtriggering laws are designed, which avoid continuous communications between nodes. Then, several criteria that ensure the event-based exponential synchronization are presented, and the exponential convergence rates are obtained as well. Furthermore, we prove that Zeno behavior of the event-triggering laws can be excluded before synchronization being achieved, that is, the lower bounds of inter-event times are strictly positive. Finally, a simulation example is provided to illustrate the effectiveness of theoretical analysis.

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Event-Triggered Pinning Control of Switching Networks

Cited by 149 publications

References 33 publications

Event‐triggered control for a saturated nonlinear system with prescribed performance and finite‐time convergence

Event‐triggered control for a saturated nonlinear system with prescribed performance and finite‐time convergence

Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control

Event-based exponential synchronization of complex networks

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