barcode reader using c#.net Separate the process model G, into two terms in Software

Maker USS Code 128 in Software Separate the process model G, into two terms

1. Separate the process model G, into two terms
Code 128C Scanner In None
Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications.
Making Code-128 In None
Using Barcode encoder for Software Control to generate, create Code 128 image in Software applications.
(18.17) Gm = Gm,Gm, where G,, is a transfer function of an all-pass filter. An all-pass filter is one for which IG,,(jw)l = 1 for all w. Examples are e-Q and (1 - s)/(l + s). G,, is a transfer function that has minimum phase characteristics. A system has non-minimum phase characteristics if its transfer function contains zeros in the right half plane or transport lags, or both. Otherwise, a system has minimum phase characteristics. For a step change in disturbance (R = l/s or Ui = lls),G, is determined by (18.18) Gr = l/G,, For a disturbance other than a step change, obtaining Gr is more complicated and the reader is referred to Morari and Zafiriou (1989). The results of applying Eq. (18.18) will yield a transfer function that is stable and does not require prediction; however, it will have terms that cannot be implemented because they require pure differentiation (e.g., rs + 1). 2. To obtain a practical IMC controller, one multiplies GI in step 1 by a transfer function of a filter, f(s). The simplest form recommended by Morari and Zafiriou is given by f(s) = l/(As + 1) (18.19) where A is a filter parameter and n is an integer. The practical IMC controller (GI) can now be expressed as (18.20) Gr = fJGm, The value of n is selected large enough to give a result for GI that does not require pure differentiation. For the simple treatment of IMC design presented here, A will be considered as a tunable parameter. In the full treatment of IMC given by Morari and Zafiriou, A can be related to the model uncertainty. In practice, model uncertainty may not be available, in which case one is forced to treat A as a tunable parameter. 3. If one wants to obtain the conventional controller transfer function Gc, use is
USS Code 128 Decoder In None
Using Barcode scanner for Software Control to read, scan read, scan image in Software applications.
Code-128 Printer In Visual C#
Using Barcode generator for .NET Control to generate, create Code 128B image in .NET applications.
PROCESS
Painting Code 128 Code Set C In .NET Framework
Using Barcode generator for ASP.NET Control to generate, create Code 128C image in ASP.NET applications.
Making Code 128 Code Set B In .NET
Using Barcode generator for VS .NET Control to generate, create Code-128 image in Visual Studio .NET applications.
APPLICATIONS
Code 128B Generator In VB.NET
Using Barcode printer for VS .NET Control to generate, create Code 128A image in VS .NET applications.
Making USS Code 39 In None
Using Barcode creation for Software Control to generate, create Code39 image in Software applications.
made of Eq. (18.14), with GI obtained from Eq. (18.20). For many simple process models,G, turns out to be equivalent to a PID controller multiplied by
UPC A Creator In None
Using Barcode generation for Software Control to generate, create UCC - 12 image in Software applications.
Bar Code Creation In None
Using Barcode generation for Software Control to generate, create barcode image in Software applications.
a first-order transfer function; thus (18.21)
Encode Data Matrix In None
Using Barcode maker for Software Control to generate, create Data Matrix image in Software applications.
ANSI/AIM Code 128 Drawer In None
Using Barcode printer for Software Control to generate, create USS Code 128 image in Software applications.
where K,, rD, r[ and rt are functions of A and the parameters in GI and
USS 93 Creator In None
Using Barcode creation for Software Control to generate, create Code 9/3 image in Software applications.
European Article Number 13 Generator In Java
Using Barcode printer for Android Control to generate, create UPC - 13 image in Android applications.
G,. The examples that follow will illustrate the application of this simplified procedure for designing an IMC controller. Example 18.5. Internal model control. Design an IMC controller for the process which, is first-order: G, = K/(Ts + 1) For this case G,, = 1 and G,, = K/(Ts + 1). Applying Eq. (18.18) gives GI = l/G,, = (7s + l)/K In order to be able to implement this transfer function let f(s) = l/(As + 1). The IMC controller becomes 17s+l GI = KAs+l This result is a lead-lag transfer function that can be implemented with modem microprocessor-based controllers. We may now obtain G, from Eq. (18.14)
Data Matrix Drawer In Objective-C
Using Barcode encoder for iPhone Control to generate, create ECC200 image in iPhone applications.
Barcode Drawer In .NET Framework
Using Barcode drawer for Visual Studio .NET Control to generate, create barcode image in .NET applications.
G, z.z GI
Recognizing UPC Code In VB.NET
Using Barcode reader for .NET Control to read, scan read, scan image in VS .NET applications.
UCC-128 Generator In VB.NET
Using Barcode creation for .NET framework Control to generate, create UCC.EAN - 128 image in Visual Studio .NET applications.
1 -GIG, Introducing the expressions for GI and G,,, into this equation gives 7s + 1 K(hs + 1) - &++ l) h This result is in the form of a PI controller:
Painting Code 128 Code Set B In Java
Using Barcode creation for Android Control to generate, create Code 128C image in Android applications.
Paint Matrix Barcode In Visual C#
Using Barcode maker for VS .NET Control to generate, create Matrix 2D Barcode image in VS .NET applications.
K, = r/AK 71 = 7
G, =
Although this design procedure results in the equivalence of a PI controller, only one parameter (A) must be used to tune the controller. This is a distinct advantage over the use of a conventional controller in which both K, and 71 must be tuned. Example 18.6. Internal model control. Design an IMC controller for a process which is first-order with transport lag:
ADVANCED
CONTROL
STRATEGIES
In the model of this process, use as an approximation to the transport lag a first-order Pad6 approximation [See Eq. (8.47)], thus
e-7dS =
1 - (Td/2)S 1 + (7d/2)s
The model becomes
G _ K 1 - (Td/2b m1 + (Td/2)s 1 7s + 1
For this model, 1 - (7d/2)s Gma = 1 + (Td/2)s and K G mm =7s + 1 Following the same steps as used in Example 18 S, we obtain for the IMC controller (an all-pass filter)
It is instructive to see the form G, takes for this example. Applying Eq. (18.14) gives 7s + 1 Gc = G1 = 1 -GIG,
K(As + 1)
K[l - (Td/T)s] 7s + 1 - K(hs + 1) [l + (T&)s](Ts + 1)
Copyright © OnBarcode.com . All rights reserved.