barcode print in asp net STATE SPACE ANALYSIS in VS .NET

Printer Denso QR Bar Code in VS .NET STATE SPACE ANALYSIS

STATE SPACE ANALYSIS
Scanning QR In .NET
Using Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in Visual Studio .NET applications.
Making QR Code In .NET
Using Barcode generator for .NET framework Control to generate, create QR Code image in Visual Studio .NET applications.
[CHAP. 7
Recognizing Denso QR Bar Code In VS .NET
Using Barcode reader for .NET Control to read, scan read, scan image in VS .NET applications.
Barcode Generation In .NET
Using Barcode creator for Visual Studio .NET Control to generate, create barcode image in .NET framework applications.
Fig. 7-1
Bar Code Recognizer In VS .NET
Using Barcode scanner for .NET Control to read, scan read, scan image in .NET applications.
QR Code Encoder In Visual C#
Using Barcode printer for .NET framework Control to generate, create QR image in .NET framework applications.
In matrix form
QR Code Encoder In .NET Framework
Using Barcode drawer for ASP.NET Control to generate, create Denso QR Bar Code image in ASP.NET applications.
Drawing Denso QR Bar Code In Visual Basic .NET
Using Barcode generator for .NET Control to generate, create QR image in VS .NET applications.
where
Paint Bar Code In .NET
Using Barcode printer for .NET Control to generate, create barcode image in .NET applications.
GS1-128 Encoder In .NET
Using Barcode printer for .NET Control to generate, create GTIN - 128 image in .NET framework applications.
Redo Prob. 7.1 by choosing the outputs of unit-delay elements 2 and 1 as state ) variables u,[n] and u,[n], respectively, and verify the relationships in Eqs. ( 7 . 1 0 ~and (7. lob).
Printing 2D Barcode In VS .NET
Using Barcode drawer for .NET framework Control to generate, create Matrix Barcode image in .NET applications.
Encoding USPS OneCode Solution Barcode In .NET Framework
Using Barcode drawer for VS .NET Control to generate, create Intelligent Mail image in .NET applications.
We redraw Fig. 7-1 with the new state variables as shown in Fig. 7-2. From Fig. 7-2 we have
Bar Code Creator In None
Using Barcode printer for Microsoft Excel Control to generate, create bar code image in Office Excel applications.
European Article Number 13 Creation In Java
Using Barcode printer for Java Control to generate, create GS1 - 13 image in Java applications.
u,[n ~ l
Barcode Decoder In Java
Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications.
UPCA Recognizer In Java
Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications.
+ 11 = 3 u l [ n ] + 2 u , [ n ] + x [ n ] ~+ 11 = c , [ n ] [ n y [ n ] = 3 u l [ n ] + 2 u 2 [ n ]+ x [ n ]
Paint Barcode In Java
Using Barcode drawer for Eclipse BIRT Control to generate, create barcode image in Eclipse BIRT applications.
UPC - 13 Creation In None
Using Barcode generator for Office Excel Control to generate, create EAN13 image in Excel applications.
Fig. 7-2
Making ECC200 In Objective-C
Using Barcode maker for iPad Control to generate, create Data Matrix 2d barcode image in iPad applications.
Decoding Data Matrix In Visual Basic .NET
Using Barcode reader for .NET framework Control to read, scan read, scan image in .NET applications.
CHAP. 71
STATE SPACE ANALYSIS
In matrix form
where
Note that u,[n] = q,[n] and u,[n]
= q,[n].
Thus, we have
Now using the results from Prob. 7.1, we have
which are the relationships in Eqs. (7.10a) and (7.10b).
73. Consider the continuous-time LTI system shown in Fig. 7-3. Find a state space representation of the system.
Fig. 7-3
STATE SPACE ANALYSIS
[CHAP. 7
In matrix form
Consider the mechanical system shown in Fig. 7-4. It consists of a block with mass m connected to a wall by a spring. Let k , be the spring constant and k , be the viscous friction coefficient. Let the output y ( f ) be the displacement of the block and the input x(f) be the applied force. Find a state space representation of the system. By Newton's law we have
The potential energy and kinetic energy of a mass are stored in its position and velocity. Thus, we select the state variables q , ( t )and q 2 ( t )as
Then we have
Fig. 7-4 Mechanical system.
CHAP. 71
STATE SPACE ANALYSIS
In matrix form
Consider the RLC circuit shown in Fig. 7-5. Let the output y ( t ) be the loop current. Find a state space representation of the circuit.
We choose the state variables q , ( t ) = i,(t) and q 2 ( l )= u,(t). Then by Kirchhoffs law we get
L 4 , ( t ) + R s , ( t ) + q2(1) = x ( t ) cq,(t) = d l ) Y ( t )= 4 1 ( t ) Rearranging and writing in matrix form, we get
Fig. 7-5 RLC circuit.
Find a state space representation of the circuit shown in Fig. 7-6, assuming that the outputs are the currents flowing in R , and R , .
We choose the state variables q , ( t )= i,(t) and q 2 ( t )= r;(t). There are two voltage sources and let x , ( t ) = u , ( t ) and x J t ) = u2(t).Let y , ( t ) = i , ( t ) and y , ( t ) = i , ( t ) . Applying krchhoffs law to each loop, we obtain
STATE SPACE ANALYSIS
[CHAP. 7
Fig. 7-6
Rearranging and writing in matrix form, we get
where
STATE EQUATIONS OF DISCRETE-TIME LTI =STEMS DESCRIBED BY DIFFERENCE EQUATIONS
Find state equations of a discrete-time system described by
y [ n ] - f y [ n - 11
+ $ y [ n - 21 = x [ n ]
- 21
Choose the state variables q , [ n ] and q 2 [ n ]as
41[nl = y [ n 4JnI = y [ n
- 11
Then from EqsJ7.79) and (7.80) we have
4 d n + 11 = q , [ n I 42[n + 11 = - $ q l [ n ]
+ $ 2 [ n ]+ x [ n ]
+ %2[nI
Y [ ~=I - $ s J n I
In matrix form
+-+I
CHAP. 71
STATE SPACE ANALYSIS
Find state equations of a discrete-time system described by
Because of the existence of the term $x[n - 11 on the right-hand side of Eq. (7.82), the selection of y [ n - 2 and y [ n - 1 as state variables will not yield the desired state equations of 1 1 the system. Thus, in order to find suitable state variables we construct a simulation diagram of Eq. (7.82) using unit-delay elements, amplifiers, and adders. Taking the z-transforms of both sides of Eq. (7.82) and rearranging, we obtain
from which (noting that z - & corresponds to k unit time delays) the simulation diagram in Fig. 7-7 can be drawn. Choosing the outputs of unit-delay elements as state variables as shown in Fig. 7-7, we get
Y [ ~ =s,[nl +x[nl I
+ 11 = q , [ n I + : y [ n ] + $+I
=fs,[nl+42[nl+
$[nI
q 2 [ n+ 11 = - i y [ n ] = - i q l [ n ] - i x [ n ]
Copyright © OnBarcode.com . All rights reserved.