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

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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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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