Realization of a transfer function as a passive two‐port RC ladder network with a specified gain

Wang, Kai; Chen, Michael Z. Q.; Chen, Guanrong

doi:10.1002/cta.2328

Cited by 7 publications

(7 citation statements)

References 45 publications

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“…According to (30), it can be concluded that Y c ðsÞ is a rational positive-real odd function of s and all zeros and poles of Y c ðsÞ are on the imaginary axis. Thus, Y c ðsÞ of (30) satisfies lemma 1, and Y c ðsÞ of (30) can be expressed as…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Applications of the inerter to vehicle suspension, 28 motorcycle steering control, and vibration absorption have been identified with the performance advantages demonstrated. 29,30 The need for a renewed attempt on the same subject and its fundamental connection to system theory has also been highlighted by Kalman. 31 Biquadratic admittance is one of the most important topics in passive network synthesis, which can provide guidance for the development of more general situations.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A compliance modeling method of flexible rotary joint for collaborative robot using passive network synthesis theory

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Collaborative robots have become a research focus because of their wide applications. However, the previous compliance design method of the flexible rotary joint for collaborative robot mainly relied on experience of designers, and “trial and error” method is usually adopted, no feasible and systematic theory for the designer to select numerical value and series-parallel connection mode of the springs and dampers for the flexible rotary joint. Thus, developing a feasible compliance modeling theory to guide the design of the flexible rotary joint is a particularly challenging task. The main contribution of this paper is to present a novel and effective compliance modeling theory of the flexible rotary joint for collaborative robot based on electrical and mechanical passive network synthesis, to provide theoretical and systematic guidances for compliance design of the flexible rotary joint. First, inerter element is introduced into the mechanical system, and the compliance of the flexible rotary joint is expressed as an angular velocity admittance function using electrical and mechanical network analogy. Then, by passive network synthesis theory, the three kinds of compliance realization forms of rational function and four-element compliance realization conditions of biquadratic function for the flexible rotary joint are given using inerters, springs, and dampers. Moreover, numerical examples and simulations are conducted to illustrate effectiveness of the proposed compliance realization method. Finally, discussions are given to illustrate advantages of the proposed compliance modeling and design methods compared with the previous method.

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Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A compliance modeling method of flexible rotary joint for collaborative robot using passive network synthesis theory

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…In the relevant literature, especially in the d\omain of automation and control, different approaches for dynamic object identification are presented. [1][2][3][4][5][6][7][8][9][10][11][12][13] Many methods have been elaborated and are recommended for use in electrical and electronic applications. 1,2,[11][12][13] Typically, the system is presented as a passive multistage circuit containing resistances, capacitors and inductances.…”

Section: Introductionmentioning

confidence: 99%

Multilayer thermal object identification in frequency domain using IR thermography and vector fitting

Strąkowska

Chatzipanagiotou

Mey

et al. 2020

Circuit Theory & Apps

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Summary This paper deals with the identification of the thermal parameters of multilayer objects using the concept of thermal impedance. In order to perform such identification, temperature evolution in time is obtained by an infrared camera after power excitation is applied in the investigated structure. Infrared thermography offers the advantage of being a noncontact temperature detection and measurement method. In many practical cases, it is impossible to use contact temperature measurements. Typically, the power in the form of a step function is applied. In order to calculate the thermal impedance of an object, temperature and power are converted into the frequency domain using the Laplace transform for s = jω. Then, the poles of the thermal impedance are identified using vector fitting, which allows calculating the thermal impedance as a sum of partial fractions. This corresponds directly to the Foster network of a thermal object. In addition, the vector fitting method offers much better convergence in comparison with other methods using the polynomial rational approximation of thermal impedance. A considerable improvement of the numerical Laplace transform in high frequency range is proposed. In this approach, the variable s = jω is replaced by trues~=()α+jω, and then, the integration result is corrected by the Taylor series. It leads to a kind of filtering of the temperature signal.

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“…Derivation of resistance R n ðA x 1 ; A x 2 ÞCombining equations (15)-(17),(19),(21),(23) and(27), the solution of X k i…”

mentioning

confidence: 99%

Electrical characteristics of the 2 × n and □ × n circuit network

2019

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This paper presents two new fundamentals of the 2×n and ,×n circuit network. The results of a plane 2×n resistor network can be applied to a ,×n circuit network, which has not been studied before. We first study the 2×n resistor network by modeling a differential equation and obtain two equivalent resistances between two arbitrary nodes of the 2×n network. Next, the ,×n cube network is transformed to the 2×n plane network equivalently to achieve two resistance formulae between two arbitrary nodes of the ,×n cube network. By applying the resistance results to the ,×n LC cube network, the complex impedance characteristics of the LC network, which includes oscillation characteristics and resonance properties, are discovered.

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Realization of a transfer function as a passive two‐port RC ladder network with a specified gain

Cited by 7 publications

References 45 publications

A compliance modeling method of flexible rotary joint for collaborative robot using passive network synthesis theory

A compliance modeling method of flexible rotary joint for collaborative robot using passive network synthesis theory

Multilayer thermal object identification in frequency domain using IR thermography and vector fitting

Electrical characteristics of the 2 × n and □ × n circuit network

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