Robust synchronization of directed Lur'e networks with incremental nonlinearities

Zhang, Fan; Xia, Weiguo; Trentelman, Harry L.; Johannson, Karl H.; Scherpen, Jacquelien M. A.

doi:10.1109/isic.2014.6967599

Cited by 7 publications

(11 citation statements)

References 19 publications

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“…autopilots, chaotic circuits and flexible robotic arms) . Previous literature about Lur'e networks consensus problem include and references therein. Zhang et al.…”

Section: Introductionmentioning

confidence: 99%

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H_∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

Han

Wang

Shen

2018

Asian Journal of Control

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This paper considers robust consensus problem for Lur'e networks with incrementally nonlinearity and unknown disturbance, under a given directed communication topology. Both incrementally sector bounded nonlinearities and incrementally passive nonlinearities are investigated. A distributed protocol is proposed to achieve global consensus. In the design of consensus protocol, H ∞ technique is used to attenuate the effect of disturbance. Moreover, the design conditions for robust H ∞ consensus are formulated into linear matrix inequalities. Finally, numerical simulations are used to demonstrate the effectiveness and superiority of the proposed method.

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“…autopilots, chaotic circuits and flexible robotic arms) . Previous literature about Lur'e networks consensus problem include and references therein. Zhang et al.…”

Section: Introductionmentioning

confidence: 99%

“…Zhang et al. addressed multi‐agent Lur'e networks consensus under undirected and directed communication graph in and , respectively. However, disturbances were not mentioned in these papers.…”

Section: Introductionmentioning

confidence: 99%

H_∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

Han

Wang

Shen

2018

Asian Journal of Control

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“…In other words, the network is heterogeneous in the sense that the nonlinearities can be different for each agent. In our previous work , these nonlinearities were assumed to be identical for each agent and satisfy the assumption of incremental passivity or incremental sector boundedness. In our present paper, only the condition of sector boundedness is imposed.…”

Section: Introductionmentioning

confidence: 99%

Robust cooperative output regulation of heterogeneous Lur'e networks

Zhang

Trentelman

Scherpen

2016

Intl J Robust & Nonlinear

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Summary In this paper, we study robust cooperative output regulation problems for a directed network of Lur'e systems that consist of a nominal linear dynamics with an unknown static nonlinearity around it through negative feedback. We assume that the linear part of each agent is identical, but the nonlinearities are allowed to be different for distinct agents. In this sense, the network is heterogeneous. As is common in the context of Lur'e systems, the unknown nonlinearities are assumed to be sector bounded within one given sector. The interconnection graph among these agents is assumed to contain a directed spanning tree. Similar to classical output regulation problems, there is a virtual exosystem generating a reference signal in which all the agents are required to track cooperatively. Our designed distributed dynamic state/output feedback protocol makes a copy of the reference signal at each agent asymptotically, and then the robust cooperative output regulation problem becomes a robust tracking problem that can be handled by each agent via local information. It turns out that our cooperative protocols are fully distributed. Sufficient conditions on the existence of output synchronization protocols are given along with some discussions on these conditions. Finally, two simulation examples illustrate our design. Copyright © 2016 John Wiley & Sons, Ltd.

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“…In other words, the network is heterogeneous in the sense that the nonlinearities can be different for each agent. In our previous work [11][12][13][14], these nonlinearities were assumed to be identical for each agent and satisfy the assumption of incremental passivity or incremental sector boundedness. In our present paper, only the condition of sector boundedness is imposed.…”

Section: Introductionmentioning

confidence: 99%

Cooperative robust output regulation of heterogeneous Lur'e networks

Zhang

Trentelman

Scherpen

et al. 2015

2015 54th IEEE Conference on Decision and Control (CDC)

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In this paper, we study robust cooperative output regulation problems for a directed network of Lur'e systems that consist of a nominal linear dynamics with an unknown static nonlinearity around it through negative feedback. We assume that the linear part of each agent is identical, but the nonlinearities are allowed to be different for distinct agents. In this sense, the network is heterogeneous. As is common in the context of Lur'e systems, the unknown nonlinearities are assumed to be sector bounded within one given sector. The interconnection graph among these agents is assumed to contain a directed spanning tree. Similar to classical output regulation problems, there is a virtual exosystem generating a reference signal in which all the agents are required to track cooperatively. Our designed distributed dynamic state/output feedback protocol makes a copy of the reference signal at each agent asymptotically, and then the robust cooperative output regulation problem becomes a robust tracking problem that can be handled by each agent via local information. It turns out that our cooperative protocols are fully distributed. Sufficient conditions on the existence of output synchronization protocols are given along with some discussions on these conditions. Finally, two simulation examples illustrate our design.where w i .t / 2 R s and v i .t / 2 R n c are the states of the dynamic protocol for agent i, T is a matrix such that S TR is Hurwitz, A D OEa ij is the adjacency matrix associated with the graph G, and A c , B c , C c , D c , and K are gain matrices to be determined. The dimension n c is also a crucial parameter to be chosen. For the later dynamic output feedback protocol design, H is assumed to have full row rank (Theorems 3 and 4).

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Robust synchronization of directed Lur'e networks with incremental nonlinearities

Cited by 7 publications

References 19 publications

H_∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

H_∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

Robust cooperative output regulation of heterogeneous Lur'e networks

Cooperative robust output regulation of heterogeneous Lur'e networks

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Robust synchronization of directed Lur'e networks with incremental nonlinearities

Cited by 7 publications

References 19 publications

H∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

H∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

Robust cooperative output regulation of heterogeneous Lur'e networks

Cooperative robust output regulation of heterogeneous Lur'e networks

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H_∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities

H_∞ Consensus of Directed Lur'e Networks with Incremental Nonlinearities