Eureka AIR delivers breakthrough ideas for toughest innovation challenges, trusted by R&D personnel around the world.

Self-adaptive control method for fractional order system influenced by saturated nonlinear input

A fractional-order system, adaptive control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of destroying the stability of the system and affecting the performance of the system, so as to improve the anti-interference effect and improve the system. The effect of stable performance

Active Publication Date: 2019-09-27
JINLING INST OF TECH
View PDF3 Cites 7 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

In the production and control of complex industrial systems, the input is often affected by nonlinearity. Saturation nonlinearity is one of the common ones. The input nonlinearity will seriously affect the system performance and even destroy the system stability.

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
  • Self-adaptive control method for fractional order system influenced by saturated nonlinear input
  • Self-adaptive control method for fractional order system influenced by saturated nonlinear input
  • Self-adaptive control method for fractional order system influenced by saturated nonlinear input

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0058] The present invention will be further explained below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the following specific embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention.

[0059] Such as figure 1 As shown, a class of fractional-order system adaptive control method affected by saturated nonlinear input mainly includes the following steps:

[0060]In view of the characteristics of historical memory of actual physical objects or processes, the use of fractional calculus theory for system mathematical modeling has the advantage of high precision, especially for several systems with common characteristics, a class of fractional chain states with a specific structure is used Equations can achieve accurate description of the system;

[0061] Using the system state variables and the stability theory of fractional-order systems, an appropriate ...

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 an adaptive control method for a fractional order system influenced by saturated nonlinear input, and the method specifically comprises the following steps: building a fractional order system mathematic model for describing a class of physical objects or processes, and carrying out the designing of a fractional order sliding mode surface according to a fractional order calculus theory; determining an adaptive updating law of unknown parameters in the fractional order mathematical model; designing a self-adaptive controller of the controlled system according to a fractional order stability theory and a saturated nonlinear input characteristic; and searching an appropriate Lyapunov function to verify the finite time accessibility of a sliding mode approaching stage. According to the invention, the adaptive control of the fractional order system under the influence of input nonlinearity can be realized; when unmodeled dynamics with unknown upper bound and external interference occur in the system, it can be guaranteed that a state trajectory reaches a sliding mode surface within limited time under the action of a designed controller; through the sliding mode action, the purpose that the state trajectory of the controlled system converges to zero is achieved, the self-adaptive identification of unknown parameters is achieved, and the control purpose is achieved.

Description

technical field [0001] The invention belongs to the technical field of stabilizing control of fractional-order systems, and in particular relates to a fractional-order system self-adaptive control method with a special structure affected by saturated nonlinear input. Background technique [0002] Due to the uniqueness of fractional calculus operators, fractional-order systems are particularly suitable for describing physical transformation processes that are time-dependent, have memory properties, and are related to history, such as the memory properties of viscoelastic materials and the viscous properties of rheological mechanics , the spacecraft is subjected to dynamic and static loads, etc., and objects with such properties or dynamic characteristics can be seen everywhere in the actual system. Gyroscopes are widely used in spacecraft and other mechanical equipment. The accuracy of mathematical modeling of gyroscopes directly affects the control performance of the designe...

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
Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 田小敏杨忠
Owner JINLING INST OF TECH
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Eureka Blog
Learn More
PatSnap group products