Second‐order consensus for nonlinear leader‐following multi‐agent systems via dynamic output feedback control

Du, Haibo; Cheng, Yingying; He, Yigang; Jia, Rong

doi:10.1002/rnc.3317

Cited by 58 publications

(24 citation statements)

References 36 publications

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“…Remark When ρ 3 = 0, Assumption becomes the Lipschitz condition. Therefore, the restrictions on the unknown nonlinearities of multiagent systems are more relaxed than those in other works …”

Section: Problem Formulation and Preliminary Resultsmentioning

confidence: 99%

“…Remark If ρ 3 = 0 and d i = 0,

\forall i \in \overset{V}{true}

, multiagent system becomes the model studied in existing literature such as in the work of Du et al Besides, the protocol in the aforementioned work is in the continuous form, whereas a sampled‐data protocol will be presented in this paper. The definition of the practical leader‐following consensus is given as follows.…”

Section: Problem Formulation and Preliminary Resultsmentioning

confidence: 99%

“…[15][16][17][18] However, all physical systems are inherently nonlinear in reality, so the leader-following consensus problem of nonlinear multiagent systems has received more attention. For instance, in previous works, [19][20][21] the leader-following consensus problem for second-order nonlinear multiagent systems has been investigated; in some other works, [22][23][24] when the agent has a higher-order nonlinear dynamics, corresponding results were given. On the other hand, there are many results focusing on the pinning control of complex networks, which is closely related to the leader-following consensus of multiagent systems.…”

Section: Introductionmentioning

confidence: 99%

“…[25][26][27][28][29][30] In practical engineering systems, it is usually difficult or even impossible to obtain velocity measurements of agents; therefore, it is of great significance to consider the consensus protocol design without velocity measurements. 19,[31][32][33][34][35] In the works of Zhang and Yang 31 and Zhao et al, 32 the finite-time consensus for second-order multiagent systems without velocity measurements was studied. Du et al 19 presented an output feedback control protocol for second-order nonlinear multiagent systems.…”

Section: Introductionmentioning

confidence: 99%

“…19,[31][32][33][34][35] In the works of Zhang and Yang 31 and Zhao et al, 32 the finite-time consensus for second-order multiagent systems without velocity measurements was studied. Du et al 19 presented an output feedback control protocol for second-order nonlinear multiagent systems. The robust consensus tracking problem for a class of heterogeneous second-order nonlinear multiagent systems with bounded external disturbances was investigated in the work of Wang and Ji,33 where only relative position information is available in the protocol design.…”

Section: Introductionmentioning

confidence: 99%

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Sampled‐data leader‐following consensus of second‐order nonlinear multiagent systems without velocity measurements

Zou

Guo

Xiang

2018

Intl J Robust & Nonlinear

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Summary In this paper, the practical leader‐following consensus via the sampled‐data protocol is investigated for second‐order nonlinear multiagent systems with external disturbances, where the velocity information of all agents are assumed to be unmeasurable. The consensus problem of the multiagent system is first transformed to a stabilization problem of the constructed error system. Because of the unknown of the agents' velocities, an observer is then proposed for the constructed error system to estimate the velocity errors. By the backstepping approach, a new protocol is designed with only position measurements and sampled‐data information. Furthermore, the upper bound of the sampling period is given. It is proved that the practical leader‐following consensus can be achieved by the proposed sampled‐data protocol with a proper sampling period. The result is then extended to the multiagent systems with multiple leaders. Finally, two numerical examples are provided to illustrate the effectiveness of the designed protocols.

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Section: Problem Formulation and Preliminary Resultsmentioning

confidence: 99%

“…Remark If ρ 3 = 0 and d i = 0,

\forall i \in \overset{V}{true}

Section: Problem Formulation and Preliminary Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sampled‐data leader‐following consensus of second‐order nonlinear multiagent systems without velocity measurements

Zou

Guo

Xiang

2018

Intl J Robust & Nonlinear

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Fixed‐Time Synchronization of a Class of Second‐Order Nonlinear Leader‐Following Multi‐Agent Systems

Zhu

Chu

et al. 2017

Asian Journal of Control

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The fixed-time synchronization problem for a class of second-order nonlinear multi-agent systems with a leader-follower architecture is investigated in this paper. To achieve the fixed-time tracking task, the design procedure is divided into two steps. At the first step, a distributed fixed-time observer is designed for each agent to estimate the leader's state in a fixed time. Then, at the second step, based on the technique of adding a power integrator, a fixed-time tracking controller for each agent is proposed such that the estimate leader's state can be tracked in a fixed time. Finally, an observer-based fixed-time controller is developed such that the leader can be tracked by all the followers in a fixed time, which can be predetermined. Simulations are presented to verify the effectiveness of the proposed approach.

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Event‐based asynchronous communication and sampled control for synchronization of multiagent networks with input saturation

Zhang

Chen

et al. 2017

Intl J Robust & Nonlinear

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This paper investigates the problem of event-based synchronization of linear dynamical networks subject to input saturation. The asynchronous neighboring information transmission is triggered by distributed events. The sampled control technique is utilized to exclude both the internal Zeno behavior of each agent and the network Zeno behavior attributed to neighboring agents. Allowing the input saturation to be attained, an event-based global synchronization algorithm is proposed for multiagent networks with neutrally stable dynamics. For general linear networks, an event-triggered control protocol is designed using the modified algebraic Riccati equation, with a low-gain cooperative control law proposed to achieve semiglobal synchronization. A numerical example is presented to illustrate the theoretical results.

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Second‐order consensus for nonlinear leader‐following multi‐agent systems via dynamic output feedback control

Cited by 58 publications

References 36 publications

Sampled‐data leader‐following consensus of second‐order nonlinear multiagent systems without velocity measurements

Sampled‐data leader‐following consensus of second‐order nonlinear multiagent systems without velocity measurements

Fixed‐Time Synchronization of a Class of Second‐Order Nonlinear Leader‐Following Multi‐Agent Systems

Event‐based asynchronous communication and sampled control for synchronization of multiagent networks with input saturation

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