ZigangPan/LinearSystems | Paclet Repository

ZigangPan`LinearSystems`

systemconcatenate

systemconcatenate [ 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 . We assume that the active outputs of system1 is added to the active inputs of system2 to form the actual active inputs of system2 . See illustration below

Examples

(1)

Basic Examples

(1)

In[1]:=

system={{x1,x2,x3},{u11,u12,w1,w2},{y1,y2,z1,z2},{{-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},{u21,u22,w},{y,z},{{-1,1,0,1},{1,0,0,1},{1,0,0,0}},{1,2},{1},{1,2},{3},{1},{2}};

In[3]:=

systemoperation



systemconcatenate

[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	u21	u22	w
	s1	x11	-1	2	0	0	0	0	0	1	0	0	0
	s2	x21	-2	-1	1	0	1	1	1	0	0	0	0
	s3	x31	-1	-2	-3	0	-1	1	1	1	0	0	0
	s4	x12	1	0	0	-1	0	0	1	0	1	0	1
a1	m1	y1	1	0	0	0	0	0	1	0	0	0	0
a2	m2	y2	0	1	0	0	0	0	0	1	0	0	0
	c1	z1	1	0	0	0	0	0	0	0	0	0	0
	c2	z2	0	1	0	0	0	0	0	0	0	0	0
a3	m3	y	0	0	0	1	0	0	0	0	0	0	1
	c3	z	0	0	0	1	0	0	0	0	0	0	0

In[4]:=

systemoperation



systemoperation



systemoperation

[%,{"Drop inputs",{u21,u22}}],{"Drop outputs",{y1,y2}},{"View"};

Active							a1	a2
	Type		s1	s2	s3	s4	c1	c2	d1	d2	d3
		names	x11	x21	x31	x12	u11	u12	w1	w2	w
	s1	x11	-1	2	0	0	0	0	0	1	0
	s2	x21	-2	-1	1	0	1	1	1	0	0
	s3	x31	-1	-2	-3	0	-1	1	1	1	0
	s4	x12	1	0	0	-1	0	0	1	0	1
	c1	z1	1	0	0	0	0	0	0	0	0
	c2	z2	0	1	0	0	0	0	0	0	0
a1	m1	y	0	0	0	1	0	0	0	0	1
	c3	z	0	0	0	1	0	0	0	0	0

SeeAlso

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