More Applications of Vector Models in .NET

Printer Denso QR Bar Code in .NET More Applications of Vector Models
More Applications of Vector Models
Decoding QR Code In .NET Framework
Using Barcode Control SDK for Visual Studio .NET Control to generate, create, read, scan barcode image in VS .NET applications.
------------------------------------------------------------------------------------------------------------d/dt pp = -w * pp + p | d/dt u = -w * u + pp | -- low-pass noise e=x-u | -servo error -compute membership functions for e and xdot -invoke fuzzmemb(N1,xx1,mb1,e) | -fuzzy sets for e invoke fuzzmemb(N2,xx2,mb2,xdot) | -fuzzy sets for xdot -MATRIX M12 = mb1 * mb2 | -- make joint membership functions DOT Voltage = ruletabl * m12 | -rule-table defuzzification -d/dt V = -B * V + g1 * Voltage | -motor-field buildup torque = -maxtrq * tanh(g2 * V/maxtrq) | -servo torque d/dt x = xdot | d/dt xdot = torque - R*xdot | -- servo dynamics -------------------------------------------------------------------------------------------------------------linear servo for comparison ee = xx u | -servo error VOLTAGE = -kk * ee rr * xxdot | -linear controller d/dt VV = -B * VV + g1 * VOLTAGE | -motor-field buildup -Torque = maxtrq * tanh(g2 * VV/maxtrq) | -motor torque d/dt xx = xxdot | d/dt xxdot = Torque R * xxdot | -- dynamics -OUT p = A*ran() | -noise is sampled ------------------------------------------------------------------------------------------------------------label members d/dt e = 2 * scale | -display sweep invoke fuzzmemb[N1, xx1, mb1, e) | -fuzzy sets for e Vector mb1= 75 * mb1 scale | -- scale, offset display of mb1
Creating QR Code JIS X 0510 In .NET
Using Barcode generator for Visual Studio .NET Control to generate, create QR-Code image in .NET framework applications.
FIGURE 7-5b DYNAMIC program segments for the fuzzy-logic controller The main DYNAMIC segment generates time histories An extra DYNAMIC program segment displays the fuzzy-set membership functions for the servo error e
Reading QR In VS .NET
Using Barcode recognizer for Visual Studio .NET Control to read, scan read, scan image in .NET applications.
PARTIAL DIFFERENTIAL EQUATIONS 7-10 The Method of Lines The numerical method of lines (MOL) reduces a partial differential equation to a set of ordinary differential equations [6 10] MOL is not the best generalpurpose method for solving partial differential equations; finite-difference programs are more general and are usually more convenient and accurate But MOL is often attractive for process-control simulation, because MOLgenerated ordinary differential equations representing reactors or heat exchangers are simply solved together with the ordinary differential equations modeling the rest of the control system
Make Bar Code In .NET Framework
Using Barcode creation for .NET framework Control to generate, create bar code image in .NET applications.
Partial Differential Equations + u, x error x 20
Recognize Bar Code In .NET Framework
Using Barcode recognizer for .NET Control to read, scan read, scan image in VS .NET applications.
0 u, x error x 20
QR Encoder In C#.NET
Using Barcode generator for .NET Control to generate, create QR Code image in Visual Studio .NET applications.
0 scale = 008
Generate Quick Response Code In .NET Framework
Using Barcode printer for ASP.NET Control to generate, create QR-Code image in ASP.NET applications.
5 10 X,U,ER 20,XX,UU,EER 20 vs t
QR Code JIS X 0510 Creator In VB.NET
Using Barcode encoder for Visual Studio .NET Control to generate, create QR Code 2d barcode image in .NET applications.
FIGURE 7-6a Noise-input response of the same servomechanism with a fuzzy controller (top) and a linear controller (bottom)
UCC - 12 Encoder In VS .NET
Using Barcode creation for Visual Studio .NET Control to generate, create EAN / UCC - 13 image in .NET applications.
small medium<0 0 medium>0
Draw Code 128A In .NET Framework
Using Barcode creator for Visual Studio .NET Control to generate, create Code 128A image in .NET framework applications.
large<0 10 scale = 15
Bar Code Drawer In .NET Framework
Using Barcode generator for Visual Studio .NET Control to generate, create barcode image in VS .NET applications.
large>0
Generating UPC-E In .NET
Using Barcode printer for VS .NET Control to generate, create UPC - E1 image in .NET framework applications.
05
Code 3 Of 9 Creation In Java
Using Barcode generator for Java Control to generate, create Code 39 Extended image in Java applications.
00 05 QQ,m1,m2,m3,m4,m5
Generating Bar Code In C#.NET
Using Barcode encoder for .NET Control to generate, create bar code image in Visual Studio .NET applications.
FIGURE 7-6b The five servo-error fuzzy-set membership functions for small error values The narrow membership function in the center is used to suppress servo damping for small servo errors
UPC A Printer In VB.NET
Using Barcode drawer for .NET Control to generate, create UPCA image in .NET applications.
More Applications of Vector Models
Encoding Barcode In VS .NET
Using Barcode maker for ASP.NET Control to generate, create bar code image in ASP.NET applications.
7-11 The Vectorized Method of Lines
EAN / UCC - 14 Creation In C#
Using Barcode drawer for VS .NET Control to generate, create EAN 128 image in VS .NET applications.
(a) Introduction
Decoding Data Matrix ECC200 In Visual Studio .NET
Using Barcode scanner for VS .NET Control to read, scan read, scan image in .NET applications.
The simplest partial-differential-equation problems involve functions u = u(t, x) of the time t and one space coordinate x We will use subscript notation for partial derivatives, as in
Create Barcode In .NET Framework
Using Barcode generation for ASP.NET Control to generate, create bar code image in ASP.NET applications.
u/ t ut u/ x ux 2u/ x2 uxx
Code 128A Creation In Visual Studio .NET
Using Barcode drawer for ASP.NET Control to generate, create Code 128 Code Set A image in ASP.NET applications.
A useful example is the one-dimensional heat-conduction equation or diffusion equation
ut = uxx
(7-2)
satisfied by the temperature u = u(t, x) in a uniform rod extending from x = 0 to x = L We want to find the time histories of u(x, t) = u[1], u[2], , u[n] at n uniformly spaced points x[1] = 0, x[2], , x[n] = L along the rod MOL replaces uxx with one of several possible difference approximations, say {u[i 1] 2u[i] + u[i + 1])}/DX2 and then solves the resulting system
(d/dt)u[i] = {u[i 1] 2u[i] + u[i + 1])}/DX 2 (i = 1, 2, , n)
of n ordinary differential equations for x[1], x[2], Vectorization represents this system as a single vector differential equation Reference [9] shows how boundary values of the u[i] can be set for given boundary conditions, but this is a problem-specific and error-prone procedure
(b) Using Differentiation Operators
Schiesser [6] replaced ad hoc procedures for selecting difference approximations and setting initial conditions with a systematic approach He declared separate n-dimensional arrays ux, uxx, for the space derivatives ux, uxx, and defined a Fortran function DDx that operates on u to produce ux, on ux to produce uxx, and so on:
ux = DDx(u) uxx = DDx(ux)
We will implement such space differentiations with a submodel (Section 3-17) [9] DESIRE submodels do not impose any runtime function-call overhead and can be stored for reuse Table 7-1 lists useful submodels for secondand fourth-order central-difference derivative approximations The experiment-protocol script in Figure 7-7 declares an n-dimensional state vector u and n-dimensional vectors ux and uxx with
STATE u[n] | ARRAY ux[n], uxx[n]