State equation approximation of transfer matrices and its application to the phase domain calculation of electromagnetic transients

This paper presents a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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Stability Robustness of Discrete Systems with Perturbations in State Equation

10.23919/acc.1990.4791283 ◽

1990 ◽

Cited By ~ 3

Author(s):

Zhihua Qu ◽

John F. Dorsey

Keyword(s):

Discrete Systems ◽

State Equation ◽

Stability Robustness

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Minimal Periodic Realizations of Transfer Matrices

1992 American Control Conference ◽

10.23919/acc.1992.4792086 ◽

1992 ◽

Cited By ~ 1

Author(s):

Ching-An Lin ◽

Chwan-Wen King

Keyword(s):

Transfer Matrices

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ATP-Based Fuzzy Logic Controller Model for Electromagnetic Transients Studies

Bulletin of the Faculty of Engineering. Mansoura University ◽

10.21608/bfemu.2020.96265 ◽

2020 ◽

Vol 40 (1) ◽

pp. 36-45

Author(s):

Walaa El-Hadad ◽

Ebrahim Badran

Keyword(s):

Fuzzy Logic ◽

Fuzzy Logic Controller ◽

Electromagnetic Transients

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The prediction of vehicle vibration transmitted to the occupant using a modular transfer matrix

Journal of Vibration and Control ◽

10.1177/1077546321997593 ◽

2021 ◽

pp. 107754632199759

Author(s):

Jianchun Yao ◽

Mohammad Fard ◽

John L Davy ◽

Kazuhito Kato

Keyword(s):

Finite Element ◽

Transfer Matrix ◽

Dynamic Performance ◽

Complex Structure ◽

Vehicle Body ◽

Computational Time ◽

Accurate Estimation ◽

Finite Element Models ◽

Transfer Matrices ◽

Body Vibration

Industry is moving towards more data-oriented design and analyses to solve complex analytical problems. Solving complex and large finite element models is still challenging and requires high computational time and resources. Here, a modular method is presented to predict the transmission of vehicle body vibration to the occupants’ body by combining the numerical transfer matrices of the subsystems. The transfer matrices of the subsystems are presented in the form of data which is sourced from either physical tests or finite element models. The structural dynamics of the vehicle body is represented using a transfer matrix at each of the seat mounting points in three triaxial (X–Y–Z) orientations. The proposed method provides an accurate estimation of the transmission of the vehicle body vibration to the seat frame and the seated occupant. This method allows the combination of conventional finite element analytical model data and the experimental data of subsystems to accurately predict the dynamic performance of the complex structure. The numerical transfer matrices can also be the subject of machine learning for various applications such as for the prediction of the vibration discomfort of the occupant with different seat and foam designs and with different physical characteristics of the occupant body.

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Integral barrier Lyapunov functions-based integrated guidance and control design for strap-down missile with field-of-view constraint

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331220981329 ◽

2021 ◽

pp. 014233122098132

Author(s):

Bin Zhao ◽

Zhenxin Feng ◽

Jianguo Guo

Keyword(s):

Sliding Mode ◽

State Equation ◽

Field Of View ◽

Feedback Form ◽

Theoretical Derivation ◽

Guidance And Control ◽

Integrated Guidance And Control ◽

Twisting Algorithm ◽

And Control ◽

Special Time

The problem of the integrated guidance and control (IGC) design for strap-down missile with the field-of-view (FOV) constraint is solved by using the integral barrier Lyapunov function (iBLF) and the sliding mode control theory. Firstly, the nonlinear and uncertainty state equation with non-strict feedback form for IGC design is derived by using the strap-down decoupling strategy. Secondly, a novel adaptive finite time disturbance observer is proposed to estimate the uncertainties based on an improved adaptive gain super twisting algorithm. Thirdly, the special time-varying sliding variable is designed and the iBLF is employed to handle the problem of FOV constraint. Theoretical derivation and simulation show that the IGC system is globally uniformly ultimately bounded and the FOV angle constraint is also guaranteed not only during the reaching phase but also during the sliding mode phase.

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