A Class of Adaptive Control Method for Fractional Order Systems Affected by Saturated Nonlinear Inputs

A fractional-order system and adaptive control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of system performance impact and damage to system stability, so as to improve system stability and improve system stability. Anti-interference effect, the effect of overcoming severe influence

Active Publication Date: 2022-04-15
JINLING INST OF TECH
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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.

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  • A Class of Adaptive Control Method for Fractional Order Systems Affected by Saturated Nonlinear Inputs
  • A Class of Adaptive Control Method for Fractional Order Systems Affected by Saturated Nonlinear Inputs
  • A Class of Adaptive Control Method for Fractional Order Systems Affected by Saturated Nonlinear Inputs

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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 ...

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Abstract

The invention discloses a fractional-order system adaptive control method affected by a saturated nonlinear input, which specifically includes the following steps: establishing a fractional-order system mathematical model describing a class of physical objects or processes, and performing the process according to the fractional-order calculus theory Fractional-order sliding mode surface design; determine the adaptive update law of unknown parameters in the fractional-order mathematical model; design the adaptive controller of the controlled system according to the fractional-order stability theory and saturated nonlinear input characteristics; find a suitable Lyapunov function to verify the sliding mode trend Limited-time reachability of the near phase. The invention can realize a class of fractional-order system adaptive control under the influence of input nonlinearity. When the system has unmodeled dynamics and external disturbances with unknown upper bounds, the state trajectory can be guaranteed to be in a limited range under the action of the designed controller. The sliding mode surface is reached within a certain time, and through the action of the sliding mode, the state trajectory of the controlled system is finally converged to zero, and the unknown parameters are adaptively identified to achieve the purpose of control.

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...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 田小敏杨忠
Owner JINLING INST OF TECH
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