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EE 6225 – Multivariable Control System

创建日期：2024-05-20 17:26:11

所属分类：计算机computer science

标签： EE 6225

Multivariable Control System

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EE 6225 – Multivariable Control System

Part I – Advanced Process Control
Assignment
(i) Due Date: 7 April 2023
(ii) Select either Q1 or Q2
(iii)Submit softcopy solution to Assignment
folder in NTULearn Course Folder and include
Your Name and Matriculation Number
1
1(a). Direct Synthesis Method (DSM)
• Consider the following block diagram of a feedback control system
2
Gc G
Set-Point R
Gd
Disturbance D
Output Y
Load LControl
UError E +
-
Controller
Process/
Plant
3( )
( )( )
( )
( )( )
0.5
The Second Order Plus Time Delay (SOPTD) process is given by:
2

5 1 2 1
The disturbance to output is

10 1 5 1
Apply the Direct Synthesis Method (DSM) to design a controller us
s
s
d
e
G s
s s
D Y
e
G s
s s
−
−
=
+ +
=
+ +
ing
the following desired closed loop transfer function
1
where
1
1
(i) Assume , design a PID controller for 1 sec and 10 sec.
(Hi
s
d
c
d c
d
c c
Y
Y eR
G
Y R sG
R
G G G


−
  
  
   = = 
+    −   
  
= =
nt: Using first order Taylor series to approximate 1 in the
denominator of ; the in the numerator will be cancelled by identical term in )
(ii) Using MatLab/Simulink or any sim
s
s
c
e s
G e G


−
−
 −
ulation software, plot the output response
to a step input at time 0 sec and a step disturbance input at 60 sec.Y R t D t= =
1(a). Direct Synthesis Method (DSM)
4GR
Gd
D
Y
L
UE +
-
Controller Process
-
Y Y−
G
Y
*
cG
• (a) Block diagram of a feedback control system using IMC
• (b) Block diagram of a feedback control with equivalent standard controller
1(b). 1 Degree of Freedom Internal
Model Control (IMC)
Gc G
Set-Point R
Gd
Disturbance D
Output Y
Load LControl
UError E +
-
Controller
Process/
Plant
5( )
( )
( )( )
( )
( )( )
*
*
The Second Order process with right Half Plane (RHP) zero is given by:
2 1

5 1 2 1
The disturbance to output is

10 1 5 1
An IMC controller is given by
1
where
s
d
c
c
s
G s
s s
D Y
e
G s
s s
G
G f G
G
−
−
− +
=
+ +
=
+ +
= = ( )
*
*
*
, contains time delays and RHP zeros with 0 =1
1
and
1
(i) Assume , design an IMC Controller for 5 sec.
(ii) Derive the equivalent standard controller = an
1
c
c c
c
c
c
G G G G s
f
s
G G G
G
G
G G


+ − + + =
=
+
= =
−
d determine the PID parameters
1
= 1 . Check if you get the same if you use DSM with .
(iii) Using MatLab/Simulink or any simulation software, plot the output res

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239 QF5203 INFR08010 IT114105 FIT2093 ECON3124 ECON1195 MATH 337 STAT 3006 COMP202 COMP3130 MATH3609 COMP 250 CS6140 IEEE ELE00041I FIN40090 CIV 5899 MATH3066 IGNMENT MATH 2009 STAT3405 HIST 101 MATH 3281 CEGE0042 ICT532 LAB 7 LAB 5 MCO455 CSIT214 Q4 IFB104 A1 ECO220Y5Y DA5020 CMPSC473 FIN9007 DSCI553 MSCI534 COMP3308 CSE-112 CMPT 310 EE104 F 2C P20 ALY2010 BUSM060 STA258 ECO00030M R BIOSTAT 274 COS6012-B FIT3155 CMPUT 340 EC421 INFS4205 ECOM135 NATS 1740 COMP809 MBE 6005 STA465 CSSE2310 CIVL2700 DATA4700 CMPSC 473 ISE 529 CS5044 MAST30020 COMP2207 ENGG1001 COMP0046 FIT3165 STAT GR5241 MECH0007 vATHK1001 ANALYTIC ATHK1001 MATH352001 HW3 S1 BMAN 24662 COMP 636 Stat-461 STAT 302 STAT 2132 STAR534 ENG4137 CMP3752M CS3103 BISM3222 STA 135 ME155A IIMT3601 ECON3371 ECON 3371 HW4 FINA 5840 DT211C CTEC3902 MAT005 MATH2148 S261F Econ 332 MATH3734 MIS41270 7CCMFM13 SYST 664 CIS434 CENG10014 MT4111 MT4527 ECMM424 CMT219 Math 136 MATH 3120 COMP10002 MAST20009 MATH0058 BEEM117 ISYE 6420 MGMTMFE 405 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