Cantilever beam vibration control method based on back-stepping fuzzy sliding mode control

A fuzzy sliding mode control and cantilever beam technology, applied in the control of cantilever beams, cantilever beam vibration control based on inversion fuzzy sliding mode control, can solve the problems of low robustness, system instability, inconvenience, etc. The effect of global stability

Inactive Publication Date: 2015-09-30
HOHAI UNIV CHANGZHOU
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Problems solved by technology

However, the robustness of adaptive control to external disturbances is very low, and it is easy to make the system unstable.
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  • Cantilever beam vibration control method based on back-stepping fuzzy sliding mode control
  • Cantilever beam vibration control method based on back-stepping fuzzy sliding mode control
  • Cantilever beam vibration control method based on back-stepping fuzzy sliding mode control

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Embodiment Construction

[0083] Below in conjunction with accompanying drawing of description, the present invention will be further described.

[0084] like figure 1 The vibration control principle diagram of the shown cantilever beam system, the present invention provides a kind of cantilever beam vibration control method based on inverse fuzzy sliding mode control, comprising the following steps:

[0085] 1) Establish a dynamic cantilever beam mathematical model and convert the cantilever beam mathematical model;

[0086] The mathematical model of the dynamic cantilever beam is

[0087] q · · + C q · + Kq = u - - - ( 1 )

[0088] Among them, C is the damping term, K is the frequency term, q is the vibration trajectory of the cantilever beam, and u is the ...

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Abstract

The invention discloses a cantilever beam vibration control method based on back-stepping fuzzy sliding mode control. The method comprises the following steps of building a dynamic cantilever beam mathematical model, and performing cantilever beam mathematical model conversion; designing a back-stepping sliding mode controller on the basis of a Lyapunov stability theory, and obtaining a sliding mode control law; designing a fuzzy self-adaptation system on the basis of the Lyapunov stability theory, and obtaining a fuzzy self-adaptation law; simultaneously inputting the output of the back-stepping sliding mode controller and the output of the fuzzy self-adaptation system into the cantilever beam mathematical model; feeding back the output of the cantilever beam mathematical model to the fuzzy self-adaptation system in real time, and ensuring the global stability. The method has the beneficial effects that the relying of a control system on the cantilever beam mathematical model can be avoided; the manufacturing errors and the environment interference are compensated; the parameter study and regulation can be controlled in time, and the global progressive stability of the whole control system is ensured, so that the system reliability and the parameter change robustness can be improved.

Description

technical field [0001] The invention relates to a cantilever beam control method, in particular to a cantilever beam vibration control method based on inversion fuzzy sliding mode control, and belongs to the technical field of cantilever beam control. Background technique [0002] A cantilever beam means that one end of the beam is a fixed support that does not produce axial, vertical displacement and rotation, and the other end is a free end (which can generate forces parallel to and perpendicular to the axial direction). In the force analysis of engineering mechanics, it is a typical simplified model. In actual engineering analysis, most of the actual engineering stress components can be simplified as cantilever beams. [0003] With the rapid development of science and technology, the rapid development of aerospace technology and the increasing scale of space activities, the requirements for aerospace technology and space structures are becoming more and more stringent. A...

Claims

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Application Information

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IPC IPC(8): G05B13/04
Inventor 胡桐月方韵梅费峻涛
Owner HOHAI UNIV CHANGZHOU
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