Abstract
This article discusses the very crucial subject of RFID TAG's stability. RFID equivalent circuits of a label can be represented as Parallel circuits of Capacitance (Cpl), Resistance (Rpl), and Inductance (Lpc). We define V(t) as the voltage that develops on the RFID label therefore making dV(t)/dt the voltage-time derivative. Due to electromagnetic interference, there are different time delays with respect to RFID label voltages and voltage time derivatives. We define V1(t) as V(t) and V2(t) as dV(t)/dt. The delayed voltage and voltage derivative are V1(t-τ1) and V2(t-τ2) respectively (τ***1=τ2). The RFID equivalent circuit can be represented as a delayed differential equation that depends on variable parameters and delays. The investigation of RFID's differential equation is based on bifurcation theory [ 1 ], which is the study of possible changes in the structure of the orbits of a delayed differential equation as a function of variable parameters. This article first illustrates certain observations and analyzes local bifurcations of an appropriate arbitrary scalar delayed differential equation [ 2 ]. RFID label stability analysis is done under different time delays with respect to label voltage and voltage derivative. Additional analysis of the bifurcations of RFID's delayed differential equation on the circle. Bifurcation behavior of specific delayed differential equations can be condensed into bifurcation diagrams. This serves to optimize dimensional parameters analysis of RFID TAGs under electromagnetic interferences to get ideal performances.
Highlights
This article discusses a very critical and useful subject of passive RFID TAGs system stability analysis under electromagnetic interferences
We study the occurrence of any possible stability switching resulting from the increase in value of the time delay for the general characteristic equation D(, )
There are two main RFID TAGs variables which are affected by electromagnetic interferences‐‐ voltage developed on the RFID Label and the voltage time derivative
Summary
This article discusses a very critical and useful subject of passive RFID TAGs system stability analysis under electromagnetic interferences. RFID TAG system has two main variables—TAG‐voltage and TAG‐voltage derivative with respect to time which may be subject to delay as a result of electromagnetic interferences. Practical guidelines exist that combine graphical information with analytical work to effectively study the local stability of models involving delay dependent parameters. The stability of a given steady state is determined through the use of the graphs of a function of τ1, τ2, which can be expressed distinctly and can be depicted by Matlab and other popular software‐‐we need only look at one such function and locate the zeros This function often has only two zeros, providing thresholds for stability switches. The analytical criteria provided for the first and second order cases can be used to obtain insightful analytical statements and can be helpful for conducting simulations
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