Complex dynamic network modeling method and model controller design method

A technology of complex dynamic network and modeling method, applied in the design field of stochastic pinning controller, which can solve the problem that the design of stochastic pinning controller is not very good, etc.

Inactive Publication Date: 2016-06-01
LIAONING UNIVERSITY OF PETROLEUM AND CHEMICAL TECHNOLOGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] At present, there is no good method for the establishment of complex dynamic network models of non-time-delay and time-delay coupled random exchang

Method used

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  • Complex dynamic network modeling method and model controller design method
  • Complex dynamic network modeling method and model controller design method
  • Complex dynamic network modeling method and model controller design method

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Embodiment 1

[0047] S1. Consider a complex dynamic network with non-time-delay and time-delay coupling. It is composed of N nodes, and each node is an n-dimensional dynamic system. The specific description is:

[0048] x · i ( t ) = f ( x i ( t ) ) + c X j = 1 N a i j x j ( t ) + c X j = 1 N b i j x j ( t - τ ) , i A S - - - ( 1 )

[0049] Where x i (t)=(x i1 (t), x i2 (t),...x in (t)) T ∈R n Is the state vector of the i-th node; f: R n →R n Is a continuous differentiable function describing the behavior of the subsystem; c>0 is the coupling strength between nodes; τ>0 is the coupling time delay; S = S l ∪ S ‾ l , S l = { 1 , 2 , ... l } , S ‾ l , = { l + 1 , l + 2 , ... N } ;

[0050] S2, take A=(a ij )∈R N×N And B=(b ij )∈R N×N Respectively represe...

Embodiment 2

[0059] Design a partial delay-dependent stochastic containment controller for the above system model,

[0060] Select the first l nodes to join the partial delay-dependent stochastic pin controller u i (t), the specific description is as follows:

[0061] u i ( t ) = - c α ( t ) k i x i ( t ) - c ( 1 - α ( t ) ) k d i x i ( t - τ ) , i A S l u i ( t ) = 0 , i A S ‾ l

[0062] Here k i And k di Respectively represent the non-time-delay and time-delay state feedback control gain. α(t) is a Bernoulli random variable and is described as follows:

[0063]

[0064] The corresponding probability is expressed as:

[0065] Pr{α(t)=1}=ε{α(t)}=α * , Pr{α(t)=0}=1-α *

[0066] Here α * ∈[0,1] and ε{α(t)-α * } = 0; the first form of the controller is suitable for α * There are two cases of precise known and uncertain. Its characteris...

Embodiment 3

[0068] Construct an adaptive stochastic containment controller, suitable for the following two situations

[0069] α * Unknown, δ * Known and α * Known, δ * unknown;

[0070] For the former, it has the following forms during the establishment process:

[0071] u i ( t ) = - ck i x i ( t ) - ck d i x i ( t - τ ) + v i ( t ) , i A S l u i ( t ) = 0 , i A S ‾ l

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Abstract

The invention discloses a complex dynamic network modeling method and a model controller design method. Modeling of a complex dynamic network is performed under the condition of random exchange of non-time-delay and time-delay coupling matrixes by applying the idea of robustness firstly, a novel partially time-delay dependent random spinning controller is designed and the problem of stabilization of the complex network system under the condition of random exchange of the coupling matrixes related to network topology is solved. The designed spinning controller is different from conventional controllers, the non-time-delay and time-delay state feedbacks of the spinning controller asynchronously occur at a certain probability. Corresponding sufficient conditions enabling the system to be stabilized are given and prevented in linear matrix inequalities under the effect of the designed controller based on the constructed complex network model. When the probability of random variables is unavailable, a self-adaptive partially time-delay dependent controller is provided for processing the situation.

Description

Technical field [0001] The invention relates to a model establishment of a complex dynamic network under the condition of random exchange of a non-time-delay and time-delay coupling matrix and a design of a stochastic containment controller aiming at this model to stabilize the system, belonging to the technical field of automatic control. Background technique [0002] With the rapid development of science and technology, mankind has entered the Internet age, and complex networks have become a hot topic. Complex networks are an important means to describe and study complex systems. All complex systems can be abstracted as interacting individuals from different perspectives of actual backgrounds, such as ecological networks, food chains, gene regulation networks, social networks and distributed sensor networks. The research of complex networks has become a frontier subject, with many subjects intersecting and facing more and more challenges. The popularization of complex networks...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/04
Inventor 王国良柳强李博宇闫婷婷
Owner LIAONING UNIVERSITY OF PETROLEUM AND CHEMICAL TECHNOLOGY
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