Adaptive decentralized control of interconnected nonlinear systems

Druzhinina, Maria; Fradkov, Alexander L.

doi:10.1016/s1474-6670(17)56996-7

Cited by 4 publications

(5 citation statements)

References 3 publications

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“…To prove this theorem we need an auxiliary lemma. This lemma is a modification of the theorem 2.19 from [2]. Lemma 2: Consider system that consists of N interconnected subsystems, where each one is described as:…”

Section: B Lipschitz-type Nonlinearitiesmentioning

confidence: 99%

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Fradkov

Grigoriev

Selivanov

2011

IEEE Conference on Decision and Control and European Control Conference

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An adaptive master-slave output feedback synchronization problem is studied firstly for a network of interconnected nonlinear dynamical systems with bounded disturbance and then for a network of systems with delayed couplings. The proposed structure of decentralized controller and adaptation algorithms in both cases is based on speedgradient and passification methods. Synchronization conditions for systems with disturbances and for systems with delayed couplings are established. An example of synchronization of the network of Chua systems with bounded disturbances is given. The problem of convergence with prespecified accuracy is examined for the networks of dynamical systems with disturbances. 1

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Section: B Lipschitz-type Nonlinearitiesmentioning

confidence: 99%

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Fradkov

Grigoriev

Selivanov

2011

IEEE Conference on Decision and Control and European Control Conference

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“…In order to present the main synchronization result of this paper, we need to formulate problem statement of decentralized control and Theorem 2.18 of that differs insignificantly from Theorem 7.6 of or Theorem of .…”

Section: Auxiliary Resultsmentioning

confidence: 99%

“…Adaptation algorithm is designed by the speed‐gradient method extended to decentralized control problems in . The results of are employed both for adaptation algorithm design and for the derivation of synchronization conditions. The bounds for the interconnection strengths ensuring achievement of the control goal (synchronization) are found.…”

Section: Introductionmentioning

confidence: 99%

Decentralized adaptive controller for synchronization of nonlinear dynamical heterogeneous networks

Fradkov

Junussov

2012

Adaptive Control & Signal

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For a network of interconnected nonlinear dynamical systems, an adaptive leader-follower output feedback synchronization problem is considered. The proposed structure of decentralized controller and adaptation algorithm is based on speed gradient and passivity. Sufficient conditions of synchronization for one class of heterogeneous networks are established. An example of synchronization of the network of nonidentical Chua systems is analyzed. The main contribution of the paper is adaptive controller design and analysis under conditions of incomplete measurements, incomplete control, and uncertainty.

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“…In order to present the main synchronization result of this paper, we need to formulate problem statement of decentralized control and Theorem 2.18 of [11] that differs insignificantly from Theorem 7.6 of [12] or Theorem 1 of [21]. Consider ‡ a system S consisting of d interconnected subsystems (agents) S i , dynamics of each being described by the following equation:…”

Section: Speed Gradient Algorithm In Decentralized Controlmentioning

confidence: 99%

“…Adaptation algorithm is designed by the speed-gradient method extended to decentralized control problems in [11,12,21]. The results of [11,12,21] are employed both for adaptation algorithm design and for the derivation of synchronization conditions. The bounds for the interconnection strengths ensuring achievement of the control goal (synchronization) are found.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Adaptive Controller for Sychronization of Nonlinear Dynamical Heterogeneous Networks

Fradkov

Junussov

2010

IFAC Proceedings Volumes

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Adaptive decentralized control of interconnected nonlinear systems

Cited by 4 publications

References 3 publications

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Decentralized adaptive controller for synchronization of nonlinear dynamical heterogeneous networks

Decentralized Adaptive Controller for Sychronization of Nonlinear Dynamical Heterogeneous Networks

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