scholarly journals On Systematic Design of Fractional-Order Element Series

Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1203
Author(s):  
Jaroslav Koton ◽  
David Kubanek ◽  
Jan Dvorak ◽  
Norbert Herencsar
Keyword(s):  
Fractional Order ◽  
Performance Optimization ◽  
Cmos Technology ◽  
Integer Number ◽  
Systematic Design ◽  
Efficient Design ◽  
Operational Transconductance Amplifiers ◽  
Sensor Applications ◽  
Active Elements ◽  
Immittance Converter

In this paper a concept for the efficient design of a series of floating fractional-order elements (FOEs) is proposed. Using even single or a very limited number of so-called “seed” FOEs it is possible to obtain a wide set of new FOEs featuring fractional order α being in the range [−n,n], where n is an arbitrary integer number, and hence enables to overcome the lack of commercial unavailability of FOEs. The systematic design stems from the utilization of a general immittance converter (GIC), whereas the concept is further developed by proposing a general circuit structure of the GIC that employs operational transconductance amplifiers (OTAs) as active elements. To show the efficiency of the presented approach, the use of only up to two “seed” FOEs with a properly selected fractional order αseed as passive elements results in the design of a series of 51 FOEs with different α being in the range [−2,2] that may find their utilization in sensor applications and the design of analog signal processing blocks. Comprehensive analysis of the proposed GIC is given, whereas the effect of parasitic properties of the assumed active elements is determined and the optimization process described to improve the overall performance of the GIC. Using OTAs designed in 0.18 μm TSMC CMOS technology, Cadence Virtuoso post-layout simulation results of the GIC are presented that prove its operability, performance optimization, and robustness of the proposed design concept.

scholarly journals CMOS OTA-Based Filters for Designing Fractional-Order Chaotic Oscillators

2021 ◽  
Vol 5 (3) ◽  
pp. 122
Author(s):  
Martín Alejandro Valencia-Ponce ◽  
Perla Rubí Castañeda-Aviña ◽  
Esteban Tlelo-Cuautle ◽  
Victor Hugo Carbajal-Gómez ◽  
Victor Rodolfo González-Díaz ◽  
...  
Keyword(s):  
Fractional Order ◽  
Complementary Metal Oxide Semiconductor ◽  
Cmos Technology ◽  
Oxide Semiconductor ◽  
Chaotic Oscillators ◽  
Operational Transconductance Amplifiers ◽  
Fractional Order Integrator ◽  
The Mathematical Model ◽  
Good Agreement

Fractional-order chaotic oscillators (FOCOs) have shown more complexity than integer-order chaotic ones. However, the majority of electronic implementations were performed using embedded systems; compared to analog implementations, they require huge hardware resources to approximate the solution of the fractional-order derivatives. In this manner, we propose the design of FOCOs using fractional-order integrators based on operational transconductance amplifiers (OTAs). The case study shows the implementation of FOCOs by cascading first-order OTA-based filters designed with complementary metal-oxide-semiconductor (CMOS) technology. The OTAs have programmable transconductance, and the robustness of the fractional-order integrator is verified by performing process, voltage and temperature variations as well as Monte Carlo analyses for a CMOS technology of 180 nm from the United Microelectronics Corporation. Finally, it is highlighted that post-layout simulations are in good agreement with the simulations of the mathematical model of the FOCO.

scholarly journals An 18.8–33.9 GHz, 2.26 mW Current-Reuse Injection-Locked Frequency Divider for Radar Sensor Applications

Sensors ◽  
2021 ◽  
Vol 21 (7) ◽  
pp. 2551
Author(s):  
Kwang-Il Oh ◽  
Goo-Han Ko ◽  
Jeong-Geun Kim ◽  
Donghyun Baek
Keyword(s):  
Supply Voltage ◽  
Cmos Technology ◽  
Frequency Divider ◽  
Oxide Semiconductor ◽  
Center Frequency ◽  
Radar Sensor ◽  
Frequency Locking ◽  
Current Reuse ◽  
Sensor Applications ◽  
Locking Range

An 18.8–33.9 GHz, 2.26 mW current-reuse (CR) injection-locked frequency divider (ILFD) for radar sensor applications is presented in this paper. A fourth-order resonator is designed using a transformer with a distributed inductor for wideband operating of the ILFD. The CR core is employed to reduce the power consumption compared to conventional cross-coupled pair ILFDs. The targeted input center frequency is 24 GHz for radar application. The self-oscillated frequency of the proposed CR-ILFD is 14.08 GHz. The input frequency locking range is from 18.8 to 33.8 GHz (57%) at an injection power of 0 dBm without a capacitor bank or varactors. The proposed CR-ILFD consumes 2.26 mW of power from a 1 V supply voltage. The entire die size is 0.75 mm × 0.45 mm. This CR-ILFD is implemented in a 65 nm complementary metal-oxide semiconductor (CMOS) technology.

scholarly journals Mixed Order Fractional Observers for Minimal Realizations of Linear Time-Invariant Systems

Algorithms ◽  
2018 ◽  
Vol 11 (9) ◽  
pp. 136
Author(s):  
Manuel Duarte-Mermoud ◽  
Javier Gallegos ◽  
Norelys Aguila-Camacho ◽  
Rafael Castro-Linares
Keyword(s):  
Fractional Order ◽  
Performance Optimization ◽  
Degrees Of Freedom ◽  
Linear Time ◽  
Minimal Realization ◽  
Linear Time Invariant ◽  
Mixed Order ◽  
Linear Time Invariant Systems ◽  
Minimal Realizations ◽  
Time Invariant

Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers, MOO) are studied in this paper. Conditions on the convergence and robustness are provided using a general framework which allows observing systems defined with any type of fractional order derivative (FOD). A qualitative discussion is presented to show that the derivation orders of the observer structure and for the parameter adjustment are relevant degrees of freedom for performance optimization. A control problem is developed to illustrate the application of the proposed observers.

Advanced aircraft performance analysis

2018 ◽  
Vol 90 (4) ◽  
pp. 627-638 ◽  
Author(s):  
Marc Immer ◽  
Philipp Georg Juretzko
Keyword(s):  
Performance Analysis ◽  
Design Process ◽  
Performance Optimization ◽  
Electric Propulsion ◽  
Vertical Plane ◽  
Aircraft Design ◽  
Efficient Design ◽  
Content Type ◽  
Aircraft Performance ◽  
Hybrid Electric

Purpose The preliminary aircraft design process comprises multiple disciplines. During performance analysis, parameters of the design mission have to be optimized. Mission performance optimization is often challenging, especially for complex mission profiles (e.g. for unmanned aerial vehicles [UAVs]) or hybrid-electric propulsion. Therefore, the purpose of this study is to find a methodology that supports aircraft performance analysis and that is applicable to complex profiles and to novel designs. Design/methodology/approach As its core element, the developed method uses a computationally efficient C++ software “Aircraft Performance Program” (APP), which performs a segment-based mission computation. APP performs a time integration of the equations of motion of a point mass in the vertical plane. APP is called via a command line interface from a flexible scripting language (Python). On top of APP’s internal radius of action optimization, state-of-the-art optimization packages (SciPy) are used. Findings The application of the method to a conventional climb schedule shows that the definition of the top of climb has a significant influence on the resulting optimum. Application of the method to a complex UAV mission optimization, which included maximizing the radius of action, was successful. Low computation time enables to perform large parametric studies. This greatly improves the interpretation of the results. Research limitations/implications The scope of the paper is limited to the methodology that allows for advanced performance analysis at the conceptual and preliminary design stages with an emphasis on novel propulsion concepts. The methodology is developed using existing, validated methods, and therefore, this paper does not contain comprehensive validation. Other disciplines, such as cost analysis, life-cycle assessment or market analysis, are not considered. Practical implications With the proposed method, it is possible to obtain not only the desired optimum mission performance but also off-design performance of the investigated design. A thorough analysis of the mission performance provides insight into the design’s capabilities and shortcomings, ultimately aiding in obtaining a more efficient design. Originality/value Recent developments in the area of hybrid or hybrid-electric propulsion systems have shown the need for performance computation tools aiding the related design process. The presented method is especially valuable when novel design concepts with complex mission profiles are investigated.

Efficient design of wideband digital fractional order differentiators and integrators using multi-verse optimizer

2020 ◽  
Vol 93 ◽  
pp. 106340 ◽  
Author(s):  
Talal Ahmed Ali Ali ◽  
Zhu Xiao ◽  
Seyedali Mirjalili ◽  
Vincent Havyarimana
Keyword(s):  
Fractional Order ◽  
Efficient Design

scholarly journals A Controllable Constant Power Generator in 0.35 μm CMOS Technology for Thermal-Based Sensor Applications

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Milena Zogović Erceg
Keyword(s):  
Relative Error ◽  
Dynamic Range ◽  
Supply Voltage ◽  
Load Resistance ◽  
Cmos Technology ◽  
Constant Power ◽  
Power Generator ◽  
Sensor Applications ◽  
Wide Range ◽  
Resistive Loads

A CMOS controllable constant power generator based on multiplier/divider circuit is presented. It generates constant power for a wide range of the resistive loads. For the generated power of 5 mW, and the resistance range from 0.5 kΩ to 1.5 kΩ, the relative error of dissipated power is less than 0.6%. For single supply voltage of 5 V, presented controllable constant power generator generates power from 0.5 mW to 7.8 mW, for the load resistance dynamic range from 3 up to 15, while the relative error of generated power is less than 2%. The frequency bandwidth of the proposed design is up to 5 MHz. Through the detailed analysis of the loop gain, it is shown that the circuit has no stability problems.

Realization of Fractional-Order Double-Scroll Chaotic System Using Operational Transconductance Amplifier (OTA)

2017 ◽  
Vol 27 (01) ◽  
pp. 1850006 ◽  
Author(s):  
Mohammad Rafiq Dar ◽  
Nasir Ali Kant ◽  
Farooq Ahmad Khanday
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Low Voltage ◽  
Complementary Metal Oxide Semiconductor ◽  
Oxide Semiconductor ◽  
Cmos Process ◽  
Operational Transconductance Amplifiers ◽  
System A ◽  
Transconductance Amplifier ◽  
Theoretical Predictions

Realization of fractional-order double-scroll chaotic system using Operational Transconductance Amplifiers (OTAs) as active elements are presented in this paper. The fractional-order double-scroll chaotic system has been studied before as well using passive RC-ladder and tree-based structures but in this paper the requisite fractional-order integration has been accomplished through an integer-order multiple-feedback topology. As compared to double or multiple scroll chaotic systems existing in the open literature, the proposed realization offers the advantages of (a) low-voltage implementation, (b) integrablity as the design is resistor- and inductor-less and only grounded components have been employed in the design, and, (c) electronic tunability of the fractional order, time-constants and gain factors. In order to demonstrate the usefulness of the chaotic system, a simple secure message communication system has been designed and verified for its operation. The theoretical predictions of the proposed implementations have been verified by using 0.35[Formula: see text][Formula: see text]m complementary metal oxide semiconductor (CMOS) process file provided by Austrian Micro System (AMS).

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