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Modeling method of complex dynamic network and design method of model controller

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

Inactive Publication Date: 2018-07-17
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 exchange and the design of stochastic pinning controllers for this model. All these facts will promote and promote the completion of the patent of this invention

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  • Modeling method of complex dynamic network and design method of model controller
  • Modeling method of complex dynamic network and design method of model controller
  • Modeling method of complex dynamic network and design method of model controller

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Experimental program
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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]

[0049]

[0050] S2, take A=(a ij )∈R N×N And B=(b ij )∈R N×N Respectively represent the non-delay and time-delay coupling matrices of the complex dynamic network; matrices A and B are symmetric and satisfy

[0051]

[0052] Among them, i≠j, if there is non-delay and time-delay coupling between nodes i and j, then a ij >0 and b ij >0; otherwise, a ij = 0 and b ij =0;

[0053] Consider the random exchange of related coupling matrices, that is, matrices A and B can be interchanged, and the following complex dynamic network is obtained:

[0054]

[0055] Among them, the switching between systems (1) and (2) is independent and random;

[0056] S3. Use a robust method to describe the random switching between the coupling matrix A and B, namely

[0057]

[0058] Among them, ΔA=(Δa ij )∈R ...

Embodiment 2

[0060] Design a partial delay-dependent stochastic containment controller for the above system model,

[0061] Select the first l nodes to join the partial delay-dependent stochastic pin controller u i (t), the specific description is as follows:

[0062]

[0063] 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:

[0064]

[0065] The corresponding probability is expressed as:

[0066] Pr{α(t)=1}=ε{α(t)}=α * , Pr{α(t)=0}=1-α *

[0067] 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 characteristic is that during the establishment process, the controller includes two parts, non-time-delay and time-delay, and these two parts appear based on certain probability conditions. The controller can stabilize the complex network system by solving the appropriate control gain....

Embodiment 3

[0069] Construct an adaptive stochastic containment controller, suitable for the following two situations

[0070] α * Unknown, δ * Known and α * Known, δ * unknown;

[0071] For the former, it has the following forms during the establishment process:

[0072]

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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 a non-time-delay and time-delay coupling matrix random exchange 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 h...

Claims

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Application Information

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Patent Type & Authority Patents(China)
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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