Adaptive backstepping optimal control method for fractional-order chaotic electromechanical transducer system

An electromechanical transducer and optimal control technology, which is applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as optimal control and fractional derivative items that are not mentioned, and reduce calculation Effects of Burden, Faster Solution, and Oscillation Suppression

Active Publication Date: 2019-09-20
HUAIYIN INSTITUTE OF TECHNOLOGY
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Problems solved by technology

However, with the increase of the system order, traditional backstepping will inevitably lead to a surge of fractional derivative terms, and there is no mention of optimal control that is closely related to practical engineering

Method used

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  • Adaptive backstepping optimal control method for fractional-order chaotic electromechanical transducer system
  • Adaptive backstepping optimal control method for fractional-order chaotic electromechanical transducer system
  • Adaptive backstepping optimal control method for fractional-order chaotic electromechanical transducer system

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Embodiment Construction

[0044] Such as figure 1 As shown, the adaptive backstepping optimal control method for the fractional-order chaotic electromechanical transducer system includes the following steps:

[0045] (1) System modeling;

[0046] (2) Dynamics analysis; reveal the dynamic behavior of the fractional-order electromechanical transducer system under different excitations and fractional-order values ​​through phase diagrams and timing diagrams;

[0047] (3) Design an adaptive feedforward controller; design an auxiliary system to compensate the influence of saturated control input, use a tracking differentiator to estimate the fractional derivative signal and overcome the expansion problem of the traditional backstepping control system, and construct a fuzzy wavelet neural network to approximate the dynamics For the unknown function of the system, the fuzzy wavelet neural network with a single weight, the tracking differentiator and the auxiliary system are integrated into the fractional bac...

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Abstract

The invention discloses an adaptive backstepping optimal control method for a fractional-order chaotic electromechanical transducer system. The method comprises the steps of (1) system modeling, (2) dynamics analysis, (3) design of an adaptive feedforward controller, (4) design of an optimal feedback controller, and (5) stability analysis. According to the invention, the boundedness of all signals of the fractional-order chaotic electromechanical transducer system is ensured, and oscillations originating from chaos and dead zones are suppressed; a cost function is minimal; and the simulation experiment results show the effectiveness of the proposed method.

Description

technical field [0001] The invention relates to the technical field of adaptive control, in particular to an adaptive backstepping optimal control method of a fractional-order chaotic electromechanical transducer system. Background technique [0002] In recent years, optimal control has attracted more and more attention because it consumes less resources and has achieved many valuable results. An optimal control scheme requires solving the Hamilton-Jacobi-Bellman (HJB) equation and minimizing a cost function. This fact has inspired many researchers to propose different methods to obtain approximate solutions to the HJB equations. With the development of microelectromechanical systems (MEMS), there are extensive discussions around the design, modeling, analysis, and control of electromechanical transducer systems, a trend that is growing in the research field. The electromechanical transducer system is an inherently nonlinear device, and the dynamical properties of the elec...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/042G05B13/0285G05B13/02
Inventor 罗绍华吴松励孙全平陈中
Owner HUAIYIN INSTITUTE OF TECHNOLOGY
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