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barcode reader project in c#.net (R1)1 = &hl in Software
(R1)1 = &hl Recognizing Code 128 Code Set A In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Code 128C Creation In None Using Barcode encoder for Software Control to generate, create Code 128C image in Software applications. Substituting Eq. (6.36) into (6.33) gives
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Encode EAN / UCC  14 In None Using Barcode generator for Software Control to generate, create GS1128 image in Software applications. Making Barcode In None Using Barcode maker for Software Control to generate, create bar code image in Software applications. At steady state the flow entering the tank equals the flow leaving the tank; thus (6.38) 40 = 40, Introducing this last equation into Eq. (6.37) gives 4  4s (6.39) Encode Universal Product Code Version A In None Using Barcode generation for Software Control to generate, create UPCA Supplement 2 image in Software applications. DataMatrix Printer In None Using Barcode creation for Software Control to generate, create Data Matrix image in Software applications. Introducing deviation variables Q = q  qs and H = h  h s into Eq. (6.39) and transforming give H(s) = RI (6.40) 7s + 1 Q(s) where RI = 2hi 2/C T = RIA We see that a transfer function is obtained that is identical in form with that of the linear system, Eq. (6.8). However, in this case, the resistance RI depends on the steadystate conditions around which the process operates. Graphically, the resistance RI is the reciprocal of the slope of the tangent line passing through the point (gosh,) as shown in Fig. 6.6. Furthermore, the linear approximation given by Eq. (6.35) is the equation of the tangent line itself. From the graphical representation, it should be clear that the linear approximation improves as the deviation in h becomes smaller. If one does not have an analytic expression such as h 2 for the nonlinear function, but only a graph of the function, the technique can still be applied by representing the function by the tangent line passing through the point of operation. Whether or not the linearized result is a valid representation depends on the operation of the system. If the level is being maintained by a controller at or close to a fixed level h S, then by the very nature of the control imposed on the system, deviations in level should be small (for good control) and the linearized equation is adequate. On the other hand, if the level should change over a wide range, the linear approximation may be very poor and the system may deviate significantly from the prediction of the linear transfer function. In such cases, it may be necessary to use the more difficult methods of nonlinear analysis, some of which are discussed in Chaps. 31 through 33. We shall extend the discussion of linearization to more complex systems in Chap. 21. GTIN  12 Creation In None Using Barcode encoder for Software Control to generate, create UPCE Supplement 2 image in Software applications. Barcode Creation In Visual Studio .NET Using Barcode creation for ASP.NET Control to generate, create bar code image in ASP.NET applications. FIGURE 66 Liquidlevel system with nonlinear resistance.
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European Article Number 13 Creation In ObjectiveC Using Barcode drawer for iPhone Control to generate, create EAN 13 image in iPhone applications. GTIN  12 Drawer In Java Using Barcode creation for Android Control to generate, create UPC Symbol image in Android applications. In summary, we have characterized, in an approximate sense, a nonlinear system by a linear transfer function. In general, this technique may be applied to any nonlinearity that can be expressed in a Taylor series (or, equivalently, has a unique slope at the operating point). Since this includes most nonlinearities arising in process control, we have ample justification for studying linear systems in considerable detail. PROBLEMS
6.1. Derive the transfer function H(s)lQ(s) for the liquidlevel system of Fig. P6.1 when (a) The tank level operates about the steadystate value of h, = 1 ft. (b) The tank level operates about the steadystate value of hS = 3 ft. The pump removes water at a constant rate of 10 cfm (cubic feet per minute); this rate is independent of head. The crosssectional area of the tank is 1.0 ft* and the resistance R is 0.5 ft/cfm. FIGURE P61 6.2. A liquidlevel system, such as the one shown in Fig. 6.1, has a crosssectional area of 3 .O ft* . The valve characteristics are q=8h where q = flow rate cfm h = level above the valve, ft Calculate the time constant for this system if the average operating level is (a) 3 ft (b) 9 ft 6.3. A tank having a crosssectional area of 2 ft* is operating at steady state with an inlet flow rate of 2.0 cfm. The flowhead characteristics are shown in Fig. P6.3. (a) Find the transfer function H(s)lQ(s). (b) If the flow to the tank increases from 2.0 to 2.2 cfm according to a step change, calculate the level h two minutes after the change occurs.

