d88-tpn@sm.luth.se (Thomas Persson) (03/07/91)
****** THIS IS A HP48 PROGRAM *****
Hi folks.
This is a program for control-people. It takes a discrete system
on the form:
x[k+1]=A*x[k]+B*u[k] (1)
y[k]=C*x[k] (2)
and calculates the respons of the system from any vector u.
Ex: Considering the system
A:[[1 .5
0 .5]]
B:[1 .5]
C:[[0 1]]
Inital values x1=0 and x2=0 at discretetime t=0
u:[1111111111111111111111111] (Step signal)
Put it on the stack in the following way...
Stack diagram:
5: [[1 .5] [0 .5]] (A)
4: [1 .5] (B or 'gamma')
3: [[0 1]] (C)
2: [0 0] (x1 x2)
1: [111111111111] (u)
And then press 'SIMUL' in the 'CST' menu.
After a time you vill get ...
Stack diagram:
4:
3:
2:
1:
Then goto the 'STAT' menu and use 'SCATTERPLOT' to plot the
response of the system. Voila!
As always, I'M NOT responsible for any damages this program vill
cause anyone. So if you for an example, use this program to design
a controllprogram for the spaceshuttle, and it blows to pieces
because of that. Then I'm NOT responsible for that accident!
I have the copyright for this program, but feel free to copy this
program. I don't mind at all as long as you keep this messages in
the file.
If you wan't to contact me for some reason, my adress is:
Thomas Persson
Porsogarden 32:291
951 65 LULEA
SWEDEN
Phone: +46 92016449
Email: d88-tpn@sm.luth.se
And here's the program...
-----XXX CUT HERE XXX-----
%%HP: T(3)A(R)F(.);
DIR
CST { SIMULATE }
SIMULATE
\<< \-> \GW \Gl C XK U
\<< CL\GS 0 C XK
* OBJ\-> DROP { 2 }
\->ARRY \GS+ 1 U SIZE
EVAL
FOR K K \GW
XK * \Gl U K GET * +
'XK' STO C XK *
OBJ\-> DROP { 2 }
\->ARRY \GS+
NEXT
\>>
\>>
GETROW
\<< \-> M C
\<< 1 M SIZE 1
GET
FOR X M X C
2 \->LIST GET
NEXT M SIZE
1 GET 1 \->LIST \->ARRY
\>>
\>>
END
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