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Optimal synchronization control method for coupled fractional order chaotic electromechanical devices

An electromechanical device and synchronous control technology, applied in the field of automation, can solve problems such as complexity explosion, achieve the effect of small cost function, ensure asymptotic stability, and avoid coefficient explosion problems

Active Publication Date: 2022-04-22
CHONGQING AEROSPACE POLYTECHNIC COLLEGE
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Problems solved by technology

However, as the order of the system increases, conventional backstepping control faces the problem of complexity explosion
The problem of zero-sum differential games is ubiquitous, and how to approximate the solution of the Hamilton-Jacobi-Isaacs equation to obtain the Nash equilibrium solution becomes very intractable

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  • Optimal synchronization control method for coupled fractional order chaotic electromechanical devices
  • Optimal synchronization control method for coupled fractional order chaotic electromechanical devices
  • Optimal synchronization control method for coupled fractional order chaotic electromechanical devices

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Embodiment Construction

[0191] Embodiments of the present invention are described below through specific examples, and those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific implementation modes, and various modifications or changes can be made to the details in this specification based on different viewpoints and applications without departing from the spirit of the present invention. It should be noted that the diagrams provided in the following embodiments are only schematically illustrating the basic concept of the present invention, and the following embodiments and the features in the embodiments can be combined with each other in the case of no conflict.

[0192] Wherein, the accompanying drawings are for illustrative purposes only, and represent only schematic diagrams, rather than physical drawings, and should...

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Abstract

The invention relates to an optimal synchronous control method for a coupled fractional-order chaotic electromechanical device, which belongs to the field of automation. A synchronization model of fractional-order electromechanical devices with capacitive-resistance coupling is established, and the phase diagram shows that its dynamic behavior is closely related to physical parameters, coupling coefficients and fractional orders. In order to transfer the passive system from the original track to the track of the active system, an optimal synchronization control method consisting of an adaptive feedforward controller and an optimal feedback controller is proposed. Under the frame of combining fractional backstepping method and hierarchical type 2 fuzzy neural network, a feedforward controller for unknown function estimation of dynamic system is proposed. At the same time, an adaptive dynamic programming method is proposed to solve the zero-sum differential game problem in the optimal feedback controller. The invention not only ensures the asymptotic stability of the closed-loop system, realizes optimal synchronization, but also minimizes the cost function.

Description

technical field [0001] The invention belongs to the field of automation and relates to an optimal synchronous control method for coupled fractional-order chaotic electromechanical devices; Background technique [0002] MEMS are widely used in milling, seaming, tamping and compaction of mixers, vibrating screens, vibrating hammers and various devices. Depending on the application of the electromechanical device, the chaotic oscillations of the electromechanical device have positive and negative effects in relation to productivity. For the synchronous control problem that people care about, it is very challenging to drive multiple electromechanical coupling devices to complete a given task periodically or chaotically. [0003] In order to reveal the dynamic characteristics of electromechanical devices and facilitate the subsequent synchronous control, previous research results are provided and the proposed research work is distinguished. Tausiff et al. analyzed the dynamic p...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042G05B13/0285G06N3/08G06N3/043G05B15/02G05B17/02G05D19/02
Inventor 罗绍华刘昭琴吴道明赵文雅
Owner CHONGQING AEROSPACE POLYTECHNIC COLLEGE
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