ZigangPan/NonlinearSystems | Paclet Repository

ZigangPan`NonlinearSystems`

NLsystemfeedback

nlsystem3=NLsystemfeedback[nlsystem1,nlsystem2]

returns a composite

nlsystem3

whose inputs are the joined list of inputs of

nlsystem1

and

nlsystem2

and outputs are the joined list of outputs of

nlsystem1

and

nlsystem2

. The active outputs of

nlsystem2

are added to the active inputs of

nlsystem1

to form the actual active inputs of

nlsystem1

. Similarly, the active outputs of

nlsystem1

are added to the active inputs of

nlsystem2

to form the actual active inputs of

nlsystem2

. See illustration below.

Examples

(1)

Basic Examples

(1)

In[1]:=

system1={{},{u1,u2},{y1,y2},{{2,1},{1,2}},{1,2},{1,2},{1,2},{},{1,2},{}};systemcheck[system1]

Out[1]=

True

In[2]:=

nlsystem=

convert2NLsystem

[system1];

In[3]:=

nlsystem7={{x1,x2},{u1,u2},{y1,y2},{Function[{x1,x2,u1,u2},{-x1+x1*x2+u1,-x2^3+u1+u2}],Function[{x1,x2,u1,u2},{x1,x2}]},{1,2},{1,2},{1,2},{},{1,2},{}};

In[4]:=

NLsystemoperation



NLsystemfeedback

[nlsystem7,nlsystem],{"View"};

No direct feedthrough in first system!

Active				a1	a2	a3	a4
	Type			c1	c2	c3	c4
		names	System Function	u11	u21	u12	u22
	s1	x1	u11+u22-x1+2(u12+x1)+x2+x1x2
	s2	x2	u11+u12+u21+u22+x1+2(u12+x1)+x2- 3 x2 +2(u22+x2)
a1	m1	y11	x1
a2	m2	y21	x2
a3	m3	y12	u22+2(u12+x1)+x2
a4	m4	y22	u12+x1+2(u22+x2)

SeeAlso

NLsystemblockdiagonal

▪

NLsystemparallel

▪

NLsystemconcatenate

""