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

Stability determination method of non-linear active-disturbance-rejection control system

A technology of active disturbance rejection control and system stability, applied in the field of automation, can solve problems such as complex derivation process, complex system motion, and difficulty in popularization

Inactive Publication Date: 2015-12-16
PEOPLES LIBERATION ARMY ORDNANCE ENG COLLEGE +1
View PDF4 Cites 7 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

However, the introduction of nonlinear functions makes the system motion more complex, and the stability and performance analysis is more difficult. The stability analysis of nonlinear extended state observer and nonlinear active disturbance rejection control system has always been a difficult point.
[0003] Using the description function method to study the frequency domain stability of the active disturbance rejection control system with a single and two nonlinear links in the extended state observer, but due to the limited number of nonlinearities, the complexity of the graph transformation and the inherent limitations of the description function method , it is difficult to generalize to the general nonlinear active disturbance rejection system
Based on the Lyapunov stability theorem, the time-domain stability of single-input single-output and multi-input multi-output ADR control systems was studied, and some sufficient conditions for stability were proposed. However, due to too many restrictive conditions and a relatively complicated derivation process , it is difficult to deal with the general active disturbance rejection control system

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
  • Stability determination method of non-linear active-disturbance-rejection control system
  • Stability determination method of non-linear active-disturbance-rejection control system
  • Stability determination method of non-linear active-disturbance-rejection control system

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0110] Combine below Figure 1-Figure 3 And embodiment further illustrates the present invention.

[0111] Assuming that the input r of the tracking differentiator in A1 is 0, then the output v of the tracking differentiator i (i=1,2,...,n) are all 0;

[0112] Taking the stability analysis of the second-order nonlinear active disturbance rejection control system composed of the second-order controlled object and the nonlinear active disturbance rejection controller as an example, the application process of the present invention in practice is described.

[0113] Stability Analysis of Nonlinear Extended State Observer Based on Routh Criterion.

[0114] Taking a second-order linear steady plant as an example, its mathematical model is as follows:

[0115] x · 1 = x ...

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 discloses a stability determination method of a non-linear active -disturbance-rejection control system. The method comprises steps of non-linear auto-disturbance-rejection control system establishment, system conversion, and stability determination of an indirect lurie system based on a robustness Popov criterion. The method has the following beneficial effects: the non-linear auto-disturbance-rejection control system is converted into an indirect lurie system and the system stability can be determined by using the robustness Popov criterion, and thus stability of a nominal system as well as robustness stability of the parameter shooting system can be determined, so that the operation becomes convenient; and the original complex non-linear extended state observer is changed into a variable-gain linear extended state observer and then stability is determined based on a routh criterion, so that the operation becomes simple and convenient.

Description

technical field [0001] The invention belongs to the technical field of automation and relates to a method for judging the stability of a nonlinear active disturbance rejection control system. Background technique [0002] Active disturbance rejection control is a new practical control method proposed by researcher Han Jingqing of the Chinese Academy of Sciences. Its unique control concept has been recognized by people, and its excellent control performance has been confirmed by extensive theoretical analysis and practical applications. The nonlinear active disturbance rejection control proposed by Han Jingqing has certain advantages in terms of anti-disturbance ability and control accuracy because nonlinear functions are used in the design of the extended state observer and control law. However, the introduction of nonlinear functions makes the system motion more complex and the stability and performance analysis more difficult. The stability analysis of nonlinear extended s...

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): G05B13/02
Inventor 李杰齐晓慧瞿元新朱东旭董海瑞冯长辉
Owner PEOPLES LIBERATION ARMY ORDNANCE ENG COLLEGE
Features
  • Generate Ideas
  • Intellectual Property
  • Life Sciences
  • Materials
  • Tech Scout
Why Patsnap Eureka
  • Unparalleled Data Quality
  • Higher Quality Content
  • 60% Fewer Hallucinations
Social media
Patsnap Eureka Blog
Learn More