Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

Nonlinear observability analysis method based on conditional number fusion

An analysis method and condition number technology, applied to electrical components, complex mathematical operations, digital technology networks, etc.

Active Publication Date: 2020-04-10
SHENZHEN INST OF GUANGDONG OCEAN UNIV
View PDF5 Cites 1 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

For the observability theory of nonlinear systems, there is no perfect solution to solve the problem of observability of nonlinear systems

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Nonlinear observability analysis method based on conditional number fusion
  • Nonlinear observability analysis method based on conditional number fusion
  • Nonlinear observability analysis method based on conditional number fusion

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0052] specific implementation

[0053] The present invention proposes a nonlinear observability analysis method based on condition number fusion, and its flow chart is as follows figure 1 shown, including the following steps:

[0054] (1) Use the Lie derivative to calculate the pseudo-state transition matrix and pseudo-observation matrix; an existing scalar function h(x) and a given vector field f(x), according to the relevant definition of the Lie derivative: the scalar function along the vector field The derivative of is called the Lie derivative, which is as follows: The nonlinear system model is:

[0055]

[0056] In the above formula, f(x) and h(x) are the state equation and observation equation of the nonlinear system respectively, and h(x) along each order of f(x)

[0057] The Lie derivative is:

[0058] The corresponding ones are:

[0059] Based on the Lie derivative, the pseudo-state transition matrix and the observation matrix of the nonlinear system are ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention relates to a nonlinear observability analysis method based on conditional number fusion, which belongs to the field of nonlinear system observability. The method comprises the followingsteps of: calculating a pseudo-state transition matrix and a pseudo-observation matrix by using a Lie derivative, secondly, calculating a pseudo-state transition matrix and a pseudo-observation matrixby utilizing cubature Kalman filtering, fusing to obtain a new pseudo-state transition matrix and a new observation matrix, and finally, calculating the nonlinear observability in combination with the Cramer-Rao bound. According to the method, a nonlinear observability calculation scheme fusing the Lie derivative and the cubature Kalman filtering is established, process noise and measurement noise are both considered in the nonlinear observability calculation scheme, and the nonlinear observability theory is further perfected.

Description

technical field [0001] The invention relates to a nonlinear observability analysis method based on condition number fusion, which belongs to the field of nonlinear system observability. Background technique [0002] Observability and observability are important concepts in the field of modern control. Since Kalman proposed the Kalman filter in the 1960s, the control theory has been continuously improved. Observability mentioned in modern control theory has become a hot issue studied by many scholars and experts. In fact, the analysis and calculation of the observability has attracted more and more attention from the engineering community. Some scholars have combined the observability with the strapdown inertial navigation system to analyze practical problems. There is an overall evaluation, so the filtering accuracy can be further improved. There are literatures that combine observability with Kalman filtering and transfer alignment and target tracking in three-dimensional ...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
IPC IPC(8): H03H17/02G06F17/18G06F17/16G06F17/11
CPCH03H17/02G06F17/18G06F17/16G06F17/11H03H2017/0205
Inventor 葛泉波唐帅帅
Owner SHENZHEN INST OF GUANGDONG OCEAN UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Patsnap Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Patsnap Eureka Blog
Learn More
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com