User`s guide

2 LTI Models
2-14
wher e
•
Z is the p -by-m cell array o f zero s (Z{i,j} = zeros of )
•
P is the p-by-m cell array o f p oles (P{i,j} = poles of )
•
K is the p -by-m matrix of g ains (K(i,j) = gain of )
For example, typing
Z = {[],–5;[1–i 1+i] []};
P = {0,[–1 –1];[1 2 3],[]};
K = [–1 3;2 0];
H = zpk(Z,P,K)
creates t he two-input/two-output zero-pole-gain model
Notice that you use
[] as a place-holder in Z (or P) when the corresponding
entry of has no zeros (or poles).
State-Space Models
State-space models rely on linear differential or difference equations to
describe the system dynamics. Continuous-time models are of the form
where x is the state vector and u and y are the input and output vectors. Such
models may arise from the equations of physics, from state-space
identification, or by state-space realization of the system transfer function.
H
ij
s
()
H
ij
s
()
H
ij
s
()
Hs()
1–
s
------
3 s 5+()
s1+()
2
--------------------
2 s
2
2 s– 2+()
s1–()s2–()s3–()
---------------------------------------------------
0
=
Hs
()
xd
td
------ Ax Bu+=
yCxDu+=