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Chaotic electromechanical gyroscope system finite time synchronization model and controller design method

A synchronous controller, limited time technology, applied in gyroscope/steering sensing equipment, instruments, gyro effect for speed measurement and other directions, can solve the problems of vibration, damage to the synchronization process of the master-slave electromechanical gyroscope system, and controller discontinuity. , to achieve the effect of reducing the dimension, shortening the synchronization time, and avoiding the destruction of synchronization

Pending Publication Date: 2022-03-25
NAVAL UNIV OF ENG PLA
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Problems solved by technology

[0008] Aiming at the deficiencies of the prior art, the present invention provides a finite-time synchronization model and a controller design method of a chaotic electromechanical gyroscope system, which solves the problem that the existing controller is discontinuous, which easily causes vibration from the electromechanical gyroscope system, and even The problem of disrupting the synchronization process of the master-slave electromechanical gyroscope system

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  • Chaotic electromechanical gyroscope system finite time synchronization model and controller design method
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  • Chaotic electromechanical gyroscope system finite time synchronization model and controller design method

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[0065] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0066] see Figure 1-12 , the embodiment of the present invention provides a kind of technical solution: the design method of the finite-time synchronization model of chaotic electromechanical gyroscope system, specifically comprises the following steps:

[0067] S1. First construct the electromechanical gyroscope system:

[0068]

[0069] where x∈R 4 ,

[0070]

[0071]

[0072] where all parameters A, B, C, b, f, h i (i=1,2,3),k i (i=1,...,6), ...

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Abstract

The invention discloses a finite time synchronization model and controller design method for a chaotic electromechanical gyroscope system, and specifically comprises the following steps: S1, firstly constructing electromechanical gyroscope systems, and S2, constructing a master-slave finite time synchronization model through more than two electromechanical gyroscope systems constructed in the step S1. The invention relates to the technical field of chaotic synchronization. According to the finite time synchronization model and controller design method for the chaotic electromechanical gyroscope system, the non-Lipschitz attribute of the function gr (xr, zr) in the designed controller can ensure that an error system is stable at the finite time of an original point er = 0, part of state variables can be synchronized immediately, meanwhile, the synchronization time of the other state variables can be shortened, and the synchronization efficiency is improved. According to the method, the dimension of an error system obtained by a master system and a slave system can be reduced, the controller has better robustness through an open-loop and closed-loop combined structure, and the designed controller is globally continuous, which means that a chattering phenomenon does not occur in a synchronization process, and accurate synchronization is realized.

Description

technical field [0001] The invention relates to the technical field of chaos synchronization, in particular to a finite time synchronization model and a controller design method of a chaos electromechanical gyroscope system. Background technique [0002] The chaotic electromechanical gyroscope system is a nonlinear system containing nonlinear terms such as cubic terms, cross terms, and trigonometric function terms. It is used in many practical engineering applications. Under some parameters, the electromechanical gyroscope system will exhibit Many dynamical properties including chaos. [0003] As we all know, synchronization is a phenomenon in which two or more systems achieve consistency through a certain coupling method. The earliest research on synchronization comes from Huygens' discovery of the synchronization of pendulums. Since then, many synchronization phenomena in natural and man-made systems have been discovered one after another, for example, glowing fireflies,...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C19/56G01C19/5776
CPCG01C19/56G01C19/5776
Inventor 陈云林茜周大伟胡卫
Owner NAVAL UNIV OF ENG PLA
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