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

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
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.

scholarly journals Application of Input–State of the System Transformation for Linearization of Selected Electrical Circuits

2016 ◽  
Vol 67 (3) ◽  
pp. 199-205 ◽  
Author(s):  
Andrzej Zawadzki ◽  
Sebastian Różowicz
Keyword(s):  
Nonlinear System ◽  
Feedback Loop ◽  
Numerical Solutions ◽  
Necessary Conditions ◽  
Electric Circuit ◽  
Input State ◽  
System Transformation ◽  
State Equations ◽  
Local Diffeomorphism ◽  
Linearized System

Abstract The paper presents a transformation of nonlinear electric circuit into linear one through changing coordinates (local diffeomorphism) with the use of closed feedback loop. The necessary conditions that must be fulfilled by nonlinear system to enable carrying out linearizing procedures are presented. Numerical solutions of state equations for the nonlinear system and equivalent linearized system are included.

Mathematical views of the fractional Chua's electrical circuit described by the Caputo-Liouville derivative

2021 ◽  
Vol 67 (1 Jan-Feb) ◽  
pp. 91
Author(s):  
N. Sene
Keyword(s):  
Caputo Derivative ◽  
Local Stability ◽  
Numerical Scheme ◽  
Equilibrium Points ◽  
Electrical Circuit ◽  
Maximal Lyapunov Exponent ◽  
Electrical Circuits ◽  
Adaptive Controls ◽  
Liouville Derivative

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.

scholarly journals The relation between input-output transformation and gastrointestinal nematode infections on dairy farms

animal ◽  
2016 ◽  
Vol 10 (2) ◽  
pp. 274-282 ◽  
Author(s):  
M. van der Voort ◽  
J. Van Meensel ◽  
L. Lauwers ◽  
G. Van Huylenbroeck ◽  
J. Charlier
Keyword(s):  
Dairy Farms ◽  
Gastrointestinal Nematode ◽  
Input Output ◽  
Output Transformation

scholarly journals Signal Processing and Analysis of Electrical Circuit

Electronics ◽  
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 [...]

scholarly journals Minimum energy control of fractional positive electrical circuits

2016 ◽  
Vol 65 (2) ◽  
pp. 191-201 ◽  
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.

Spectral properties of the tubuloglomerular feedback system

1997 ◽  
Vol 273 (4) ◽  
pp. F635-F649 ◽  
Author(s):  
H. E. Layton ◽  
E. Bruce Pitman ◽  
Leon C. Moore
Keyword(s):  
Transit Time ◽  
Spectral Properties ◽  
Response Curve ◽  
Feedback Loop ◽  
Spectral Response ◽  
Power Spectra ◽  
Tubuloglomerular Feedback ◽  
Feedback Gain ◽  
Thick Ascending Limb ◽  
Closed Feedback Loop

A simple mathematical model was used to investigate the spectral properties of the tubuloglomerular feedback (TGF) system. A perturbation, consisting of small-amplitude broad-band forcing, was applied to simulated thick ascending limb (TAL) flow, and the resulting spectral response of the TGF pathway was assessed by computing a power spectrum from resulting TGF-regulated TAL flow. Power spectra were computed for both open- and closed-feedback-loop cases. Open-feedback-loop power spectra are consistent with a mathematical analysis that predicts a nodal pattern in TAL frequency response, with nodes corresponding to frequencies where oscillatory flow has a TAL transit time that equals the steady-state fluid transit time. Closed-feedback-loop spectra are dominated by the open-loop spectral response, provided that γ, the magnitude of feedback gain, is less than the critical value γc required for emergence of a sustained TGF-mediated oscillation. For γ exceeding γc, closed-loop spectra have peaks corresponding to the fundamental frequency of the TGF-mediated oscillation and its harmonics. The harmonics, expressed in a nonsinusoidal waveform for tubular flow, are introduced by nonlinear elements of the TGF pathway, notably TAL transit time and the TGF response curve. The effect of transit time on the flow waveform leads to crests that are broader than troughs and to an asymmetry in the magnitudes of increasing and decreasing slopes. For feedback gain magnitude that is sufficiently large, the TGF response curve tends to give a square waveshape to the waveform. Published waveforms and power spectra of in vivo TGF oscillations have features consistent with the predictions of this analysis.

scholarly journals Stochastic linearization of nonlinear point dissipative systems

2004 ◽  
Vol 2004 (65) ◽  
pp. 3541-3563
Author(s):  
James A. Reneke
Keyword(s):  
Nonlinear System ◽  
Linear System ◽  
Dissipative Systems ◽  
Input Output ◽  
Operator Representation ◽  
Covariance Kernel ◽  
Finite Dimensional ◽  
Convergence Results ◽  
Stochastic Linearization ◽  
Output Operator

Stochastic linearization produces a linear system with the same covariance kernel as the original nonlinear system. The method passes from factorization of finite-dimensional covariance kernels through convergence results to the final input/output operator representation of the linear system.

Positive electrical circuits and their reachability

2011 ◽  
Vol 60 (3) ◽  
pp. 283-301 ◽  
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.

scholarly journals Distinct dendritic Ca2+ spike forms produce opposing input-output transformations in rat CA3 pyramidal cells

eLife ◽  
2021 ◽  
Vol 10 ◽  
Author(s):  
Ádám Magó ◽  
Noémi Kis ◽  
Balázs Lükő ◽  
Judit K Makara
Keyword(s):  
Dendritic Structure ◽  
Dendritic Tree ◽  
Pyramidal Cells ◽  
Afferent Input ◽  
Male Rats ◽  
Input Output ◽  
Single Action ◽  
Two Photon ◽  
Ca3 Pyramidal Cells ◽  
Output Transformation

Proper integration of different inputs targeting the dendritic tree of CA3 pyramidal cells (CA3PCs) is critical for associative learning and recall. Dendritic Ca2+ spikes have been proposed to perform associative computations in other PC types by detecting conjunctive activation of different afferent input pathways, initiating afterdepolarization (ADP), and triggering burst firing. Implementation of such operations fundamentally depends on the actual biophysical properties of dendritic Ca2+ spikes; yet little is known about these properties in dendrites of CA3PCs. Using dendritic patch-clamp recordings and two-photon Ca2+ imaging in acute slices from male rats, we report that, unlike CA1PCs, distal apical trunk dendrites of CA3PCs exhibit distinct forms of dendritic Ca2+ spikes. Besides ADP-type global Ca2+ spikes, a majority of dendrites expresses a novel, fast Ca2+ spike type that is initiated locally without bAPs, can recruit additional Na+ currents, and is compartmentalized to the activated dendritic subtree. Occurrence of the different Ca2+ spike types correlates with dendritic structure, indicating morpho-functional heterogeneity among CA3PCs. Importantly, ADPs and dendritically initiated spikes produce opposing somatic output: bursts versus strictly single-action potentials, respectively. The uncovered variability of dendritic Ca2+ spikes may underlie heterogeneous input-output transformation and bursting properties of CA3PCs, and might specifically contribute to key associative and non-associative computations performed by the CA3 network.

scholarly journals Ultra-High Sensitivity MEMS Pressure Sensor Utilizing Bipolar Junction Transistor for -1…+1 kPa

2021 ◽  
Author(s):  
Mikhail
Keyword(s):  
Circuit Design ◽  
Pressure Sensor ◽  
Feedback Loop ◽  
High Sensitivity ◽  
Electrical Circuit ◽  
Bipolar Junction Transistors ◽  
Chip Area ◽  
Bipolar Junction Transistor ◽  
Junction Transistor ◽  
Type V

The theoretical model and experimental characteristics of ultra-high sensitivity MEMS pressure sensor chip for 1 kPa utilizing a novel electrical circuit are presented. The electrical circuit uses piezosensitive differential amplifier with negative feedback loop (PDA-NFL) based on two bipolar-junction transistors (BJT). The BJT has a vertical structure of n-p-n type (V-NPN) formed on a non-deformable chip area. The circuit contains eight piezoresistors located on a profiled membrane in the areas of maximum mechanical stresses. The circuit design provides a balance between high pressure sensitivity (S =44.9 mV/V/kPa) and fairly low temperature coefficient of zero signal (TCZ = 0.094% FS/°C). Additionally, high membrane burst pressure of P = 550 kPa was reached.

Sign in / Sign up

Export Citation Format

Share Document