Superstabilization of positive linear electrical circuit by state-feedbacks

This paper revisits Chua's electrical circuit in the context of the Caputo derivative. We introduce the Caputo derivative into the modeling of the electrical circuit. The solutions of the new model are proposed using numerical discretizations. The discretizations use the numerical scheme of the Riemann-Liouville integral. We have determined the equilibrium points and study their local stability. The existence of the chaotic behaviors with the used fractional-order has been characterized by the determination of the maximal Lyapunov exponent value. The variations of the parameters of the model into the Chua's electrical circuit have been quantified using the bifurcation concept. We also propose adaptive controls under which the master and the slave fractional Chua's electrical circuits go in the same way. The graphical representations have supported all the main results of the paper.

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Signal Processing and Analysis of Electrical Circuit

Electronics ◽

10.3390/electronics9010017 ◽

2019 ◽

Vol 9 (1) ◽

pp. 17

Author(s):

Adam Glowacz ◽

Jose Alfonso Antonino Daviu

Keyword(s):

Signal Processing ◽

Electrical Circuit ◽

Electrical Circuits ◽

Electrical Systems

The analysis of electrical circuits is an essential task in the evaluation of electrical systems [...]

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Minimum energy control of fractional positive electrical circuits

Archives of Electrical Engineering ◽

10.1515/aee-2016-0013 ◽

2016 ◽

Vol 65 (2) ◽

pp. 191-201 ◽

Cited By ~ 2

Author(s):

Tadeusz Kaczorek

Keyword(s):

Control Problem ◽

Minimum Energy ◽

Sufficient Conditions ◽

Electrical Circuit ◽

Existence Of Solution ◽

Energy Control ◽

Electrical Circuits ◽

Minimum Energy Control

Abstract Minimum energy control problem for the fractional positive electrical circuits is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by an example of fractional positive electrical circuit.

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Positive electrical circuits and their reachability

Archives of Electrical Engineering ◽

10.2478/v10171-011-0026-3 ◽

2011 ◽

Vol 60 (3) ◽

pp. 283-301 ◽

Cited By ~ 16

Author(s):

Tadeusz Kaczorek

Keyword(s):

Electrical Circuit ◽

Voltage Source ◽

Electrical Circuits ◽

Linearly Independent

Positive electrical circuits and their reachabilityConditions for the positivity of linear electrical circuits composed of resistances, coils, capacitors and voltage (current) sources are established. It is shown that: 1) the electrical circuit composed of resistors, coils and voltage source is positive for any values of their resistances, inductances and source voltages if and only if the number of coils is less or equal to the number of its linearly independent meshes, 2) the electrical circuit is not positive for any values of its resistances, capacitances and source voltages if each its branch contains resistor, capacitor and voltage source, 3) the positiven-meshes electrical circuit with only one inductance in each linearly independent mesh is reachable if all resistances of branches belonging to two linearly independent meshes are zero.

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Development of Woven Fabric-based Electrical Circuits

MRS Proceedings ◽

10.1557/proc-736-d1.9 ◽

2002 ◽

Vol 736 ◽

Cited By ~ 11

Author(s):

Anuj Dhawan ◽

Tushar K. Ghosh ◽

Abdelfattah M. Seyam ◽

John Muth

Keyword(s):

Signal Integrity ◽

Electronic Devices ◽

Electrical Circuit ◽

Woven Fabric ◽

Circuit Boards ◽

Electrical Networks ◽

Electrical Circuits ◽

Conductive Yarns ◽

Point Of Intersection ◽

Efficient Transfer

ABSTRACTThis paper describes the development of woven electrical circuits, which are formed by interlacing conducting and non-conducting threads into a woven fabric. Conductive threads in these electrical networks are arranged and woven such that they follow desired electrical circuit designs. Electronic devices can be attached to these electrical networks, which can serve as flexible circuit boards. In these woven circuits, an efficient transfer of current from one conductive yarn to an orthogonal one is achieved by the formation of an effective electrical interconnect at the point of intersection of these yarns. Formation of woven conductive networks also involves disconnect formation or cutting of conductive yarns at certain specified points. Different methods and processes were identified and applied in order to form interconnects and disconnects at specified points of these fabrics. Efficacy of these interconnects was evaluated by DC resistance and AC Signal measurements. The results of these evaluations are reported. The conductive threads woven into these fabric-based circuits were also evaluated for signal integrity issues.

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GRAPH-THEORETIC CHARACTERIZATION OF BIFURCATION PHENOMENA IN ELECTRICAL CIRCUIT DYNAMICS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127410025533 ◽

2010 ◽

Vol 20 (02) ◽

pp. 451-465 ◽

Cited By ~ 6

Author(s):

RICARDO RIAZA

Keyword(s):

Electrical Circuit ◽

Electrical Circuits ◽

Graph Theoretic ◽

Bifurcation Phenomena ◽

Binet Formula ◽

Underlying Network ◽

Matrix Pencils ◽

Schur Complements ◽

Theoretic Characterization

This paper addresses bifurcation properties of equilibria in lumped electrical circuits. The goal is to tackle these properties in circuit-theoretic terms, characterizing the bifurcation conditions in terms of the underlying network digraph and the electrical features of the circuit devices. The attention is mainly focused on so-called singular bifurcations, resulting from the semistate (differential-algebraic) nature of circuit models, but the scope of our approach seems to extend to other types of bifurcations. The bifurcation analysis combines different tools coming from graph theory (such as proper trees in circuit digraphs, Maxwell's determinantal expansions or the colored branch theorem) with several results from linear algebra (matrix pencils, the Cauchy–Binet formula, Schur complements). Several examples illustrate the results.

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Deployment of Solar Sails by Joule Effect: Thermal Analysis and Experimental Results

Aerospace ◽

10.3390/aerospace7120180 ◽

2020 ◽

Vol 7 (12) ◽

pp. 180

Author(s):

Gianluigi Bovesecchi ◽

Sandra Corasaniti ◽

Girolamo Costanza ◽

Fabrizio Paolo Piferi ◽

Maria Elisa Tata

Keyword(s):

Thermal Analysis ◽

Solar Sail ◽

Electrical Circuit ◽

Nickel Titanium ◽

Design Parameters ◽

Space Vehicles ◽

The Sun ◽

Solar Sails ◽

Joule Effect ◽

Electrical Circuits

Space vehicles may be propelled by solar sails exploiting the radiation pressure coming from the sun and applied on their surfaces. This work deals with the adoption of Nickel-Titanium Shape Memory Alloy (SMA) elements in the sail deployment mechanism activated by the Joule Effect, i.e., using the same SMA elements as a resistance within suitable designed electrical circuits. Mathematical models were analyzed for the thermal analysis by implementing algorithms for the evaluation of the temperature trend depending on the design parameters. Several solar sail prototypes were built up and tested with different number, size, and arrangement of the SMA elements, as well as the type of the selected electrical circuit. The main parameters were discussed in the tested configurations and advantages discussed as well.

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Deployment of Solar Sails by Joule Effect: Thermal Analysis and Experimental Results

10.20944/preprints202011.0690.v1 ◽

2020 ◽

Author(s):

Gianluigi Bovesecchi ◽

Sandra Corasaniti ◽

Girolamo Costanza ◽

Fabrizio Paolo Piferi ◽

Maria Elisa Tata

Keyword(s):

Thermal Analysis ◽

Shape Memory Alloy ◽

Solar Sail ◽

Electrical Circuit ◽

Design Parameters ◽

Space Vehicles ◽

The Sun ◽

Solar Sails ◽

Joule Effect ◽

Electrical Circuits

Space vehicles may be propelled by solar sails exploiting the radiation pressure coming from the sun and applied on their surfaces. This work deals with the adoption of Shape-Memory Alloy (SMA) elements in the sail deployment mechanism activated by the Joule Effect, i.e. using the same SMA elements as a resistance within suitable designed electrical circuits. Mathematical models were analyzed for the thermal analysis by implementing algorithms for the evaluation of the temperature trend depending on the design parameters. Several solar sail prototypes were built up and tested with different number, size and arrangement of the SMA elements, as well as the type of the selected electrical circuit. The main parameters have been discussed in the tested configurations and advantages discussed as well.

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Analysis Method for Finding the Sources of Failures in Circuits with a Frequency Converter

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.237.124 ◽

2015 ◽

Vol 237 ◽

pp. 124-129

Author(s):

Paweł Mroczkowski ◽

Mirosław Neska

Keyword(s):

Frequency Converter ◽

Electrical Circuit ◽

Evaluation Methodology ◽

Analysis Method ◽

Electronic Components ◽

Electrical Circuits ◽

Frequency Converters ◽

Potential Sources ◽

Electrical Faults ◽

The Impact

The dynamic development of devices that use electrical and electronic components makes it necessary to eliminate sources of interference occurring in circuits with systems of this type. These disturbances adversely affect the correct functioning other systems that work together as a network, as well as equipment located in neighbouring systems. The article presents a method of the analysis of the sources of faults occurring in electrical circuits, using a frequency converter. The discussed principle of the operation of the frequency converter and the impact of disturbances generated by these installations are presented in this article. The evaluation methodology of the installation is presented using the requirements of the Harmonized Standards and the authors’ own solutions. The verification of the method was conducted by applying it to a real electrical circuit. The potential sources of electrical faults were identified that were caused by the frequency converters and its circuit. The developed and presented analysis method of the faults sources can be used for evaluating other circuits of this type in which one of subsystems is a frequency converter circuit.

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Input-Output Transformation Using the Feedback of Nonlinear Electrical Circuits: Algorithms and Linearization Examples

Mathematical Problems in Engineering ◽

10.1155/2018/9405256 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Sebastian Różowicz ◽

Andrzej Zawadzki

Keyword(s):

Nonlinear System ◽

Feedback Loop ◽

Electrical Circuit ◽

Input Output ◽

Local Diffeomorphism ◽

Electrical Circuits ◽

Circuit Input ◽

Transformation Algorithms ◽

Output Transformation ◽

Closed Feedback Loop

This paper addresses the problem of nonlinear electrical circuit input-output linearization. The transformation algorithms for linearization of nonlinear system through changing coordinates (local diffeomorphism) with the use of closed feedback loop together with the conditions necessary for linearization are presented. The linearization stages and the results of numerical simulations are discussed.

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