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barcode reader integration with asp.net SAMPLEDDATA in Software
SAMPLEDDATA Read Code 128B In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Create Code 128 Code Set B In None Using Barcode maker for Software Control to generate, create Code 128 image in Software applications. CONTROL
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Making Code128 In .NET Framework Using Barcode drawer for ASP.NET Control to generate, create USS Code 128 image in ASP.NET applications. Code 128 Printer In .NET Framework Using Barcode creator for VS .NET Control to generate, create Code 128B image in .NET applications. If we introduce these approximations for the integral and the derivative into Eqs. (27.47) and (27.48), we obtain after subtracting Eq. (27.48) from Eq. (27.47) m(nT)  m[(n  l)T] = K, e(nT)  e[(n  l)T] + $e(nT) i Drawing Code 128A In Visual Basic .NET Using Barcode creator for VS .NET Control to generate, create Code128 image in Visual Studio .NET applications. EAN13 Creation In None Using Barcode maker for Software Control to generate, create GTIN  13 image in Software applications. e(nT)  2e[(n  l)T] + e[(n  2)T] Bar Code Generation In None Using Barcode maker for Software Control to generate, create barcode image in Software applications. DataMatrix Encoder In None Using Barcode creation for Software Control to generate, create ECC200 image in Software applications. (27.50) Code 3/9 Printer In None Using Barcode maker for Software Control to generate, create Code39 image in Software applications. EAN 128 Maker In None Using Barcode encoder for Software Control to generate, create EAN128 image in Software applications. Converting this equation to the zdomain and solving for M(z)/E(z), which is D(z), finally gives the algorithm: ISSN  13 Drawer In None Using Barcode creation for Software Control to generate, create ISSN  10 image in Software applications. Printing Matrix 2D Barcode In .NET Framework Using Barcode creator for ASP.NET Control to generate, create Matrix 2D Barcode image in ASP.NET applications. D(z) = Drawing GS1 128 In Java Using Barcode maker for Java Control to generate, create EAN / UCC  13 image in Java applications. Generating Code 128C In None Using Barcode generation for Font Control to generate, create Code128 image in Font applications. where p =
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71 + 70 T* + Tq + TITD
TTI P= T* + Tq + TjTD
The nature of the response for a unitstep change in input for K, = 71 = T = 1 and ro = 2 is shown in Fig. 27.14. The details of obtaining this result are left as an exercise for the reader. The response of the continuous PID controller to a unitstep change in input for the same parameters (Kc,71,7~) is also shown in Fig. 27.14. Notice that the impulse at t = 0 for the continuous response is replaced by a pulse during the first sampling period that reaches a value of 4.0 instead of infinity. After t = 1, the sampleddata response is the same as for the PI sampleddata response shown in Fig. 27.13. As 70 is increased, the pulse during the first sampling period will become larger, thereby approximating more closely the jump to infinity for the continuous response. The simple backward difference formula used to approximate the derivative term in the PID control algorithm can be replaced by a higher order difference continuous I responseiI m(4for
I :r
FIGURE 2714 Comparison of sampleddata response and continuous response for a PID controller subjected to a step change in input. DESIGN OF SAMPLEDDATA COmOLLERS
approximation to give an alternate version of D(z). In fact, many alternate difference approximations for the integral term and the derivative term can be used to give a variety of forms for D(z). As the sampling period T is reduced, the response of the control system using different forms of D(z) for PI or PID control should approach the response for continuous versions of the algorithms. One of the problems at the end of this chapter involves the calculation of the response of a system that uses the D(z) for a PI controller given by Eq. (27.45). In general, the replacement of a continuous controller by its equivalent sampleddata version will give a less stable response for the same set of controller parameters (Kc,r~,ro). SUMMARY
In this chapter a systematic procedure for the design of directdigital control algorithms was described. The procedure requires that a model for the process be known and that the location of the disturbance (set point or load) and the type of disturbance (step, ramp, etc.) be specified. These requirements are similar to those for designing a controller by the internal model control procedure discussed in Chap. 18. The design. procedure presented here gives the designer a wide choice of the desired response of the control system; this choice is usually based on knowledge of the response of the process model. The minimal prototype response is an ideal response that reduces the error (at sampling instants) to zero in the least time. The control algorithm D(z) obtained by the design procedure can be written in a form that can be used by a digital computer to control the process. The need to test a proposed algorithm for a disturbance other than the one used to design the algorithm was emphasized and illustrated by examples. The equivalent sampleddata control algorithms for conventional (PI and PID) control were derived and the openloop response for each algorithm was compared to the response for the corresponding continuous algorithms. As the sampling period T decreases, the response of the digital algorithm approaches that of the continuous algorithm.

