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Neurodynamic method for solving noise-containing time-varying problem

A technique of dynamics and problems, applied in the direction of instrumentation, adaptive control, control/regulation system, etc.

Active Publication Date: 2018-04-24
SOUTH CHINA UNIV OF TECH
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  • Claims
  • Application Information

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Problems solved by technology

[0006] The purpose of the present invention is to overcome the deficiencies in the prior art, and propose a neurodynamic method for solving noise-containing time-varying problems. This method has global convergence characteristics when using various monotonically increasing odd activation functions to solve noise-containing time-varying problems. And the error can converge to zero at a super-exponential speed

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  • Neurodynamic method for solving noise-containing time-varying problem
  • Neurodynamic method for solving noise-containing time-varying problem
  • Neurodynamic method for solving noise-containing time-varying problem

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Embodiment 1

[0073] Such as figure 1 As shown, the present embodiment provides a neural dynamics method for solving time-varying problems with noise, the method comprising the following steps:

[0074] S1: Obtain the expected realization target state of the practical problem and external sensor data, standardize the specific actual physical system or numerical solution in the form of a time-varying problem with noise through mathematical modeling methods, and establish a standard quadratic programming problem model for the system ;

[0075] Firstly, aiming at the actual physical system or numerical solution system with the form of smooth time-varying problem in the real number field, using the mathematical modeling method to formulate the model, the following standard form of the smooth time-varying quadratic programming problem in the real number field can be obtained:

[0076]

[0077] subject to A(t)x(t)=b(t) (2)

[0078] where t represents time. In the field of real numbers, one ...

Embodiment 2

[0139] The realization frame diagram of a neural dynamics system based on the power-type variable parameter recursive neural dynamics method for smooth time-varying problems with noise in the real number domain is shown in figure 2 As shown, the system specifically includes:

[0140] The external environment input module, that is, the data acquisition part, is used to acquire sensing data of the external environment through external sensors and set the target platform data expected to be realized;

[0141] The input interface module is used as an interface channel between external setting data and processors, and can be realized by circuits and protocols of different interfaces according to different sensors;

[0142] The processor module is divided into two parts: the time-varying parameter matrix and the power-type neural dynamics method for time-varying problems with noise; the time-varying parameter matrix part is used for matrixing or vectorizing external input data; the...

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Abstract

The invention discloses a neurodynamic method for solving a noise-containing time-varying problem. The method includes the following steps that: 1) the time-varying quadratic programming problem modelof an actual physical system is established; 2) optimal value optimization is performed on the time-varying quadratic programming problem model, partial derivative information about an optimal solution and Lagrangian multiplier are obtained; 3) the partial derivative information is transformed into a standard time-varying matrix form; 4) a deviation function is designed; and 5) a power type parameter-varying recursive neurodynamic method and four common activation functions are used to design a power type neurodynamic method of the noise-containing time-varying problem in the real-number field, and an obtained solution is the optimal solution of the time-varying quadratic programming problem. According to the neurodynamic method of the invention, on the basis of the parameter-varying recursive neurodynamic method, a global convergence characteristic is realized when the common monotonically increasing odd activation functions are adopted to solve the noise-containing time-varying problem, and error can converge to zero at a superexponential velocity, and therefore, calculation speed can be greatly improved.

Description

technical field [0001] The invention belongs to a neural dynamics method for time-varying problems, in particular to a neural dynamics method for solving time-varying problems with noise. Background technique [0002] In practical engineering applications, the time-varying phenomenon of the controlled system is ubiquitous. For example, complex system process control, robot motion control, and aerospace and other fields all need to solve the time-varying problem of the system more or less. Therefore, in recent years, the research on the control of these time-varying systems has attracted more and more attention from the control community, and has become one of the hot issues widely discussed. The stability of a time-varying system means that variables such as the state, input, output, and parameters of the system are always bounded under the influence of time-varying factors or disturbances. It is the most basic requirement for a control system. However, the time-varying sys...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 张智军孔令东
Owner SOUTH CHINA UNIV OF TECH
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