Süsteemiteooria kogu 2009
dt 2
IL 5.4
x&1 (t ) = x1 (t ) + 2 x 2 (t ) + u 2 (t )
x& (t ) = x (t ) + 3x (t ) + u (t )
2 2 3 3
Leida süsteemi olekumudel.
x& 3 (t ) = x 2 (t )
y (t ) = x1 (t ) + x 2 (t ) + x3 (t ) + u1 (t ) + 2u 3 (t )
IL 5.5
x&1 (t ) = x1 (t ) + 10 x 2 (t ) + 2u1 (t ) - u 2 (t )
x& (t ) = 2 x (t ) - x (t ) + 2u (t )
2 1 3 3
Leida süsteemi x& 3 (t ) = 3 x3 (t ) + u 2 (t ) olekumudel.
y (t ) = x (t ) + u (t )
1 2 1
y 2 (t ) = 2 x1 (t ) + x3 (t ) - 5u 3 (t ) + u1 (t )
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6. ÜLEKANDEKARAKTERISTIKUD