Electronically Tunable Fully Integrated Fractional-Order Resonator
Type
Article
KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering Program
Date
2017-03-20Online Publication Date
2017-03-20Print Publication Date
2018-02Permanent link to this record
http://hdl.handle.net/10754/623081Metadata
Show full item recordAbstract
A fully integrated implementation of a parallel fractional-order resonator which employs together a fractional order capacitor and a fractional-order inductor is proposed in this paper. The design utilizes current-controlled Operational Transconductance Amplifiers as building blocks, designed and fabricated in AMS 0:35</mu>m CMOS process, and based on a second-order approximation of a fractional-order differentiator/ integrator magnitude optimized in the range 10Hz–700Hz. An attractive benefit of the proposed scheme is its electronic tuning capability.Citation
Tsirimokou G, Psychalinos C, Elwakil AS, Salama KN (2017) Electronically Tunable Fully Integrated Fractional-Order Resonator. IEEE Transactions on Circuits and Systems II: Express Briefs: 1–1. Available: http://dx.doi.org/10.1109/tcsii.2017.2684710.Sponsors
This work was supported by Grant E.029 from the Research Committee of the University of Patras (Programme K. Karatheodori).Additional Links
http://ieeexplore.ieee.org/document/7882617/Scopus Count
Related items
Showing items related by title, author, creator and subject.
-
Robust fractional-order proportional-integral observer for synchronization of chaotic fractional-order systems(IEEE/CAA Journal of Automatica Sinica, Institute of Electrical and Electronics Engineers (IEEE), 2018-02-13) [Article]In this paper, we propose a robust fractional-order proportional-integral U+0028 FOPI U+0029 observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities U+0028 LMIs U+0029 approach by using an indirect Lyapunov method. The proposed U+0028 FOPI U+0029 observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional U+0028 FOP U+0029 observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.
-
Fractional-order adaptive fault estimation for a class of nonlinear fractional-order systems(2015 American Control Conference (ACC), Institute of Electrical and Electronics Engineers (IEEE), 2015-07-30) [Conference Paper]This paper studies the problem of fractional-order adaptive fault estimation for a class of fractional-order Lipschitz nonlinear systems using fractional-order adaptive fault observer. Sufficient conditions for the asymptotical convergence of the fractional-order state estimation error, the conventional integer-order and the fractional-order faults estimation error are derived in terms of linear matrix inequalities (LMIs) formulation by introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach where the fractional-order α belongs to 0 < α < 1. A numerical example is given to demonstrate the validity of the proposed approach.
-
Experimental demonstration of fractional-order oscillators of orders 2.6 and 2.7(Chaos, Solitons & Fractals, Elsevier BV, 2017-02-07) [Article]The purpose of this work is to provide an experimental demonstration for the development of sinusoidal oscillations in a fractional-order Hartley-like oscillator. Solid-state fractional-order electric double-layer capacitors were first fabricated using graphene-percolated P(VDF-TrFE-CFE) composite structure, and then characterized by using electrochemical impedance spectroscopy. The devices exhibit the fractional orders of 0.6 and 0.74 respectively (using the model Zc=Rs+1/(jω)αCα), with the corresponding pseudocapacitances of approximately 93nFsec−0.4 and 1.5nFsec−0.26 over the frequency range 200kHz–6MHz (Rs < 15Ω). Then, we verified using these fractional-order devices integrated in a Hartley-like circuit that the fractional-order oscillatory behaviors are of orders 2.6 and 2.74.
