10.2 STATE MODEL OF A FIRST-ORDER SYSTEM
Let us consider the following difference equation:
where y and u represent the output and input respectively.
Let us start from y (k + 1). We get y (k) using a delay element shown in Fig. 10.2.
Fig. 10.2
In Fig. 10.3, x1(k) represents y(k). From Eq. (10.1) we get
Fig. 10.3
Figure 10.3 shows the block diagram of Eq. (10.3).
The state equation and output equation are
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