MATLAB CONTROL SYSTEM TOOLBOX 9 Dokumentacja Pobierz pdf (Strona 548)

100

101

16-208

sys = ss(A,B,C,D,0.05,'statename',{'position' 'velocity'},...

'inputname','force',...

'notes','Created 10/15/96')

creates a discrete-time model with matrices and sample time 0.05

second. This model has two states labeled

position and velocity,andone

input labeled

force (the dimensions of should be consistent with

these numbers of states and inputs). Finally, a note is attached with the date

ofcreationofthemodel.

Example 2

Compute a state-space realization of the transfer function

by typing

H = [tf([1 1],[1 3 3 2]) ; tf([1 0 3],[1 1 1])];

sys = ss(H);

size(sys)

State-space model with 2 outputs, 1 input, and 5 states.

Note that the number of states is equal to the cumulative order of the SISO

entries of H(s).

To obtain a minimal realization of H(s), type

sys = ss(H,'min');

size(sys)

State-space model with 2 outputs, 1 input, and 3 states.

The resulting state-space model order has order three, the minimum number

of states needed to represent H(s).ThiscanbeseendirectlybyfactoringH(s)

as the product of a first order system with a second order one.

ABCD

,,,

ABCD

,,,

()

s 1+

3s 2+++

-------------------------------------------

s 1++

------------------------

1 2 ... 543 544 545 546 547 548 549 550 551 552 553 ... 590 591

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