ZigangPan/LinearSystems | Paclet Repository

ZigangPan`LinearSystems`

systemfeedback

[

system

1

,

system

2

]

returns a composite system whose inputs are the joined list of inputs of

system1

and

system2

and outputs are the joined list of outputs of

system1

and

system2

. The active outputs of

system2

are added to the active inputs of

system1

to form the actual active inputs of

system1

. Similarly, the active outputs of

system1

are added to the active inputs of

system2

to form the actual active inputs of

system2

. See the illustration below.

Examples

(1)

Basic Examples

(1)

In[1]:=

system={{x1,x2,x3},{u11,u12,w1,w2},{y11,y12,z11,z12},{{-1,2,0,0,0,0,1},{-2,-1,1,1,1,1,0},{-1,-2,-3,-1,1,1,1},{1,0,0,0,0,1,0},{0,1,0,0,0,0,1},{1,0,0,0,0,0,0},{0,1,0,0,0,0,0}},{1,2},{1,2},{1,2},{3,4},{1,2},{3,4}};

In[2]:=

system1={{x1},{u1,u2,w},{y21,y22,z21,z22},{{-1,1,0,1},{1,0,0,1},{1,0,2,0},{1,0,0,0},{1,0,2,0}},{1,2},{1,2},{1,2},{3},{1,2},{3,4}}

Out[2]=

{{x1},{u1,u2,w},{y21,y22,z21,z22},{{-1,1,0,1},{1,0,0,1},{1,0,2,0},{1,0,0,0},{1,0,2,0}},{1,2},{1,2},{1,2},{3},{1,2},{3,4}}

In[3]:=

systemoperation



systemfeedback

[system,system1],{"View"};

Active							a1	a2			a3	a4
	Type		s1	s2	s3	s4	c1	c2	d1	d2	c3	c4	d3
		names	x11	x21	x31	x12	u11	u12	w1	w2	u1	u2	w
	s1	x11	-1	2	0	0	0	0	0	1	0	0	0
	s2	x21	-2	1	1	2	1	1	1	2	0	2	1
	s3	x31	-1	0	-3	0	-1	1	1	3	0	2	-1
	s4	x12	1	0	0	-1	0	0	1	0	1	0	1
a1	m1	y11	1	0	0	0	0	0	1	0	0	0	0
a2	m2	y12	0	1	0	0	0	0	0	1	0	0	0
	c1	z11	1	0	0	0	0	0	0	0	0	0	0
	c2	z12	0	1	0	0	0	0	0	0	0	0	0
a3	m3	y21	0	0	0	1	0	0	0	0	0	0	1
a4	m4	y22	0	2	0	1	0	0	0	2	0	2	0
	c3	z21	0	0	0	1	0	0	0	0	0	0	0
	c4	z22	0	2	0	1	0	0	0	2	0	2	0

SeeAlso

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