Fractional order self-sustaining electromechanical seismograph system acceleration stability control method with constraints

Abstract

The invention relates to a fractional order self-sustaining electromechanical seismograph system acceleration stability control method with constraints, and belongs to the field of seismic exploration. The fractional order self-sustaining electromechanical seismograph system acceleration stability control method comprises the following steps of: S1, carrying out system modeling, which is implemented by establishing a mathematical model of a fractional order self-sustaining electromechanical seismograph system according to a Newton's second law and a Kirchhoff's law, and defining constraint conditions; S2, and designing an acceleration stability controller, wherein the design is implemented by constructing an acceleration feedforward controller and an optimal feedback controller, the acceleration feedforward controller is integrated by a molding behavior function based on a fractional order inversion method, a fuzzy wavelet neural network and a tracking differentiator, and the optimal feedback controller is formed by fusing a fuzzy wavelet neural network and an adaptive dynamic programming strategy. According to the fractional order self-sustaining electromechanical seismograph system acceleration stability control method, the boundness of all signals of a closed-loop system is ensured, the safe operation of the system under the constraint condition is ensured, and meanwhile, chaotic oscillation can be suppressed and a minimum cost function can be realized.

Description

technical field [0001] The invention belongs to the field of seismic exploration and relates to a constrained fractional-order self-sustaining electromechanical seismograph system acceleration stability control method. Background technique [0002] The self-sustaining electromechanical seismograph system is an electromechanical sensitive instrument that can be used to detect ground vibrations induced by earthquakes. The nonlinear oscillation and chaotic dynamics of the seismograph system have a very important impact on its stable operation, and it is often necessary to meet the performance indicators in engineering applications. Therefore, it is a meaningful and challenging task to model fractional-order self-sustaining electromechanical seismograph systems in an optimal form, analyze dynamics, drive chaotic motions to periodic target trajectories, satisfy system safety constraints, and accelerate stability. Work. [0003] Over the past few decades, there have been sporadi...

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Problems solved by technology

In the fractional-order domain, these works are no longer applicable, and there is a huge difference between a class of strict feedback systems and self-sustaining electromechanical seismograph systems with complex dynamics

Furthermore, the optimal energy cost of nonlinear systems has not been addressed in such literature

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