Table 5:
Mathematical model of the bioreactor.
Operating region
State-space model
Transfer function model
Growth phase
𝐴
=
0
−
0
.
0
6
8
−
0
.
7
5
−
0
.
1
3
0
2
;
𝐵
=
−
0
.
9
9
5
1
2
.
4
8
7
8
;
𝐶
=
1
0
;
D
=
[
0
]
Δ
𝑋
(
𝑠
)
=
Δ
𝐷
(
𝑠
)
−
0
.
9
9
5
1
𝑠
−
0
.
2
9
8
7
𝑠
2
+
0
.
1
3
0
2
𝑠
−
0
.
0
5
0
9
Stationary phase
𝐴
=
0
0
.
9
0
5
6
−
0
.
7
5
−
2
.
5
6
4
;
𝐵
=
−
1
.
5
3
0
1
3
.
8
2
5
5
;
𝐶
=
1
0
;
D
=
[
0
]
Δ
𝑋
(
𝑠
)
=
Δ
𝐷
(
𝑠
)
−
1
.
5
3
𝑠
−
0
.
4
5
8
8
𝑠
2
+
2
.
5
6
4
𝑠
+
0
.
6
7
9
2