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Interference suppression method of nonhomogenous Markov jumping system

A jumping system and interference suppression technology, applied in general control systems, control/regulation systems, instruments, etc., to achieve the effect of simple calculation

Inactive Publication Date: 2015-03-25
JIANGNAN UNIV
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  • Abstract
  • Description
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  • Application Information

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Problems solved by technology

[0004] The technical problem to be solved by the present invention is: aiming at the non-homogeneous Markov jump system existing in practical engineering application, use Gaussian process to describe the time-varying characteristics of jump probability, and consider the influence of external interference on the system, provide a method based on Gaussian probability density function anti-interference control method to solve the interference suppression problem of non-homogeneous Markov jump system

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  • Interference suppression method of nonhomogenous Markov jumping system
  • Interference suppression method of nonhomogenous Markov jumping system
  • Interference suppression method of nonhomogenous Markov jumping system

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Embodiment Construction

[0025] The present invention will be further described in detail below in conjunction with the embodiments shown in the accompanying drawings.

[0026] It should be emphasized that the techniques involved in the present invention are not only applicable to the examples mentioned below, and these techniques can be used in any applicable random jump control system.

[0027] The anti-jamming control of the non-homogeneous Markov jump system based on the Gaussian probability density function of the present invention comprises the following steps:

[0028] (1) Non-homogeneous Markov process description

[0029] (2) Expected value of jump transition probability

[0030] (3) Controller design based on Gaussian probability density function

[0031] (4) Simulation experiment verification

[0032] The specific steps are described below:

[0033] (1) Non-homogeneous Markov process description

[0034] Consider the following class of discrete non-homogeneous Markov jump systems:

[...

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Abstract

The invention discloses an interference suppression method of a nonhomogenous Markov jumping system, and relates to the time varying probability description of random jumping of various modals of a multi-modal system, steady-state characteristics of a random system in an infinite time area and anti-interference control of a random system when external interference exists. The method comprises the following steps that the random jumping among the modals is described through a nonhomogenous Markov chain; the random distribution characteristics of the jumping probability of the nonhomogenous Markov chain are described through a Gaussian probability density function; the random steady-state characteristics are analyzed, and an interference suppression controller is designed. According to the nonhomogenous Markov jumping phenomenon existing in an actual engineering application, the mean value and variance information of the Gaussian probability density function is utilized, the expectation value of the jumping probability is obtained, the controller is designed based on the obtained expectation value and the linear matrix inequality technology, and the closed-loop multi-modal system is stable and has the assigned interference suppression capacity.

Description

technical field [0001] The invention relates to an interference suppression method for a non-homogeneous Markov jump system, in particular to an anti-interference control method for a non-homogeneous Markov jump system based on a Gaussian probability density function, which can be used in biological cultivation processes, manufacturing processes, Network system, communication system, economic system and other fields. Background technique [0002] When the probability of jumps between modes in a multi-modal system is assumed to be constant and conform to Markov characteristics, the research on homogeneous Markov jump systems has always been one of the research hotspots in the field of control, and its research fields involve various aspects of control theory. On the one hand, it has been relatively perfect, including the stability, control and filtering of the homogeneous Markov jump system, and good conclusions have been obtained. However, in practical engineering applicati...

Claims

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Application Information

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IPC IPC(8): G05B17/02
Inventor 栾小丽陈飞刘飞
Owner JIANGNAN UNIV
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