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Time-varying convex quadratic programming solver design method

A technique of convex quadratic programming and quadratic programming, which is applied in the field of time-varying quadratic programming problem solvers in the real number domain, and can solve problems such as unreasonable and difficult to satisfy

Active Publication Date: 2018-03-09
SOUTH CHINA UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

When the neural network is applied in the actual system, such a requirement is sometimes difficult to meet
In addition, in the actual system, the reciprocal of the inductance parameter value and the capacitance parameter value is usually time-varying, especially in large-scale power electronic systems, AC motor control systems, power network systems, etc., the system parameters are set to fixed values is unreasonable

Method used

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  • Time-varying convex quadratic programming solver design method

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Embodiment 1

[0076] Such as figure 1 Shown is a flow chart of a time-varying convex quadratic programming solver design method of an example of the present invention; a design of a time-varying convex quadratic programming solver design method comprises the steps:

[0077] 1) Standardize the actual physical system or numerical solution in the form of a time-varying quadratic programming problem through mathematical modeling methods, and establish a standard quadratic programming problem model for the system;

[0078] 2) According to the Lagrangian multiplier method, respectively obtain the partial derivative information about the optimal solution and the Lagrange multiplier of the standard time-varying quadratic programming problem in step 1), and write the Lagrangian optimization formula;

[0079] 3) Transform the partial derivative information about the optimal solution and the Lagrange multiplier in step 2) into a standard time-varying matrix form, and write the time-varying matrix equa...

Embodiment 2

[0138] In order to demonstrate the actual system design process, an example is used to illustrate the problem: Assume that the time-varying parameter matrix of the system has been obtained, and consider a time-varying quadratic programming problem model in the real number domain with the following time-varying matrix

[0139]

[0140] subject to A(t)x(t)=B(t) (12)

[0141] in

[0142]

[0143] A(t):=[sin 2t cos2t], B(t):=cos3t, x(t):=[x 1 (t)x 2 (t)] T

[0144] According to formula (6), the above quadratic programming problem models (11)-(12) can be written in the following matrix equation form

[0145] W(t)Y(t)=G(t) (13)

[0146] in

[0147]

[0148] Y(t):=[x 1 (t) x 2 (t) λ(t)] T , G(t):=[-sin t -cos tcos 3t] T

[0149] According to the following implicit kinetic equation expression

[0150]

[0151] and to Definition

[0152] Y(t):=[x T (t),λ T (t)] T =[x 1 (t), x 2 (t),...,x n (t),λ 1 (t),λ 2 (t),...,λ m (t)] T (15)

[0153]The system...

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Abstract

The invention discloses a time-varying convex quadratic programming solver design method. The method includes steps: establishing a time-varying quadratic programming standard model of a practical physical system through mathematical modeling; according to the Lagrange multiplier method, subjecting the quadratic programming standard model to optimal value solving to acquire optimal solution and Lagrange's multiplier related partial derivative information; converting the partial derivative information into a standard time-varying matrix form; designing an error functional equation according tothe standard time-varying matrix; according to the error functional equation and a power type varying-parameter recurrent neural dynamic method, designing a time-varying quadratic programming problempower type solver in a real number field through a monotone increasing odd activation function, so that a network state obtained through the time-varying quadratic programming problem power type solver is the optimal solution to the practical physical system or numerical solution time-varying quadratic programming problems. The time-varying convex quadratic programming solver design method has global convergence characteristics, errors can be converged to zero at a super-exponential speed, and accordingly calculation speed is greatly increased.

Description

technical field [0001] The patent of the invention belongs to the design method of the solver of the time-varying quadratic programming problem in the real number domain, and in particular relates to a recursive neural dynamics method based on power-type variable parameters. Background technique [0002] Artificial Neural Network (ANN) is a research hotspot in the field of artificial intelligence since the 1980s. It abstracts the human brain neuron network from the perspective of information processing, establishes a simple model, and forms different networks according to different connection methods. In engineering and academia, it is often referred to directly as a neural network or a neural network. A neural network is an operational model consisting of a large number of nodes (or neurons) connected to each other. Each node (Node) represents a specific output function, called the activation function (Activation Function). Each connection between two nodes represents a ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 张智军孔令东
Owner SOUTH CHINA UNIV OF TECH
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