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barcode reader integration with asp.net The parameter T is called the time constant of the system and has the units of time. in Software
The parameter T is called the time constant of the system and has the units of time. Code 128 Code Set C Scanner In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Creating Code128 In None Using Barcode printer for Software Control to generate, create Code 128A image in Software applications. LINEAR OPENLOOP SYS IEMS
USS Code 128 Recognizer In None Using Barcode decoder for Software Control to read, scan read, scan image in Software applications. Make Code 128C In Visual C#.NET Using Barcode printer for .NET Control to generate, create ANSI/AIM Code 128 image in .NET applications. The expression on the right side of Eq. (5.7) is called the transferfunction of the system. It is the ratio of the Laplace transform of the deviation in thermometer reading to the Laplace transform of the deviation in the surrounding temperature. In examining other physical systems, we shall usually attempt to obtain a transfer function. Any physical system for which the relation between Laplace transforms of input and output deviation variables is of the form given by Eq. (5.7) is called a jfirstorder system. Synonyms for firstorder system are firstorder lag and single exponential stage. The naming of all these terms is motivated by the fact that Eq. (5.7) results from a firstorder, linear differential equation, Eq. (5.5). In Chap. 6 is a discussion of a number of other physical systems which are firstorder. By reviewing the steps leading to Eq. (5.7), one can discover that the introduction of deviation variables prior to taking the Laplace transform of the differential equation results in a transfer function that is free of initial conditions because the initial values of X and Y are zero. In control system engineering, we are primarily concerned with the deviations of system variables from their steadystate values. The use of deviation variables is, therefore, natural as well as convenient. PROPERTIES OF TRANSFER FUNCTIONS. In general, a transfer function relates two variables in a physical process; one of these is the cause (forcing function or input variable) and the other is the effect (response or output variable). In terms of the example of the mercury thermometer, the surrounding temperature is the cause or input, whereas the thermometer reading is the effect or output. We may write Y(s) Transfer function = G(s) = X(s) where G(s) = symbol for transfer function X(s) = transform of forcing function or input, in deviation form Y(s) = transform of response or output, in deviation form The transfer function completely describes the dynamic characteristics of the system. If we select a particular input variation X(t) for which the transform is X(s), the response of the system is simply Y(s) = G(s)X(s) Code 128 Code Set B Drawer In .NET Using Barcode drawer for ASP.NET Control to generate, create Code 128B image in ASP.NET applications. Code 128C Generator In .NET Framework Using Barcode encoder for .NET Control to generate, create Code128 image in .NET framework applications. (5.8) Code 128 Encoder In VB.NET Using Barcode maker for Visual Studio .NET Control to generate, create Code128 image in .NET applications. Generating Barcode In None Using Barcode generator for Software Control to generate, create barcode image in Software applications. By taking the inverse of Y(s), we get Y(t), the response of the system. The transfer function results from a linear differential equation; therefore, the principle of superposition is applicable. This means that the transformed response of a system with transfer function G(s) to a forcing function X(s) = UlXl(S) + a2X2(s) where Xi and X2 are particular forcing functions and a i and u2 are constants, is Y(s) = G(s)X(s) Painting Barcode In None Using Barcode creator for Software Control to generate, create barcode image in Software applications. USS Code 39 Drawer In None Using Barcode creation for Software Control to generate, create Code 39 image in Software applications. = = alG(s)Xl(s) alYl(s> + + a2W)X,(s> a2Y2(s) Creating EAN 13 In None Using Barcode generator for Software Control to generate, create EAN13 Supplement 5 image in Software applications. Painting ECC200 In None Using Barcode printer for Software Control to generate, create ECC200 image in Software applications. RESPONSE
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Reading Code 3/9 In Java Using Barcode decoder for Java Control to read, scan read, scan image in Java applications. Creating GTIN  128 In Java Using Barcode creator for Java Control to generate, create USS128 image in Java applications. Yi(s) and Y,(s) are the responses to X1 and X2 alone, respectively. For example, the response of the mercury thermometer to a sudden change in surrounding temperature of 10 F is simply twice the response to a sudden change of 5 F in surrounding temperature. The functional relationship contained in a transfer function is often expressed by a blockdiagram representation, as shown in Fig. 5.2. The arrow entering the box is the forcing function or input variable, and the arrow leaving the box is the response or output variable. Inside the box is placed the transfer function. We state that the transfer function G(s) in the box operates on the input function X(S) to produce an output function Y(S). The usefulness of the block diagram will be appreciated in Chap. 9, when a complete control system containing several blocks is analyzed. Barcode Generator In Java Using Barcode creator for Java Control to generate, create bar code image in Java applications. Generate GS1 RSS In VS .NET Using Barcode creation for Visual Studio .NET Control to generate, create GS1 DataBar14 image in Visual Studio .NET applications. TRANSIENT
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Now that the transfer function of a firstorder system has been established, we can easily obtain its transient response to any forcing function. Since this type of system occurs so frequently in practice, it is worthwhile to study its response to several common forcing functions: step, impulse, and sinusoidal. These forcing functions have been found to be very useful in theoretical and experimental aspects of process control. They will be used extensively in our studies and hence, each one is explored before studying the transient response of the firstorder system to these forcing functions.

