1. Side 1 af 15 10 Digital Control Systems Sampling, Z-transform, transfer function Reg1_slide4 Chap. 13.1-3,4,(5) J.Nybo Rev.:14.04.04

2. Side 2 af 15 From analog to digital system Figure 13.1 Conversion of antenna azimuth position control system from: a. analog control to b. digital control

3. Side 3 af 15 Block-diagram of digital system Figure 13.2 a. Placement of the digital computer within the loop; b. detailed block diagram showing placement of A/D and D/A converters

4. Side 4 af 15 Digital-to-analog conver ter Figure 13.3 Digital-to-analog converter

5. Side 5 af 15 Steps in analog-to-digital conversion : Figure 13.4 Steps in analog-to-digital conversion: a. analog signal; b. analog signal after sample-and-hold; c. conversion of samples to digital numbers

6. Side 6 af 15 Two views of uniform-rate sampling: Figure 13.5 Two views of uniform-rate sampling: a. switch opening and closing; b. product of time waveform and sampling waveform

7. Side 7 af 15 Model of sampling with a uniform rectangular pulse train Figure 13.6 Model of sampling with a uniform rectangular pulse train

8. Side 8 af 15 Ideal sampling and the zero-order hold Figure 13.7 Ideal sampling and the zero-order hold

9. Side 9 af 15 Zero Order Hold

10. Side 10 af 15 Z-transform of a sampled signal

11. Side 11 af 15 Table 13.1 Partial table of z- and s-transforms

12. Side 12 af 15 Table 13.2 z-transform theorems

13. Side 13 af 15 Inverse z-transform Partial fraction expansion (partial brøker) Power series (polynomiers division) Tables

14. Side 14 af 15 Pulse Transfer Function Figure 13.8 Sampled-data systems: a. continuous; b. sampled input; c. sampled input and output

15. Side 15 af 15 Sampled-data systems and their z- transforms Figure 13.9 Sampled-data systems and their z-transforms

16. Side 16 af 15 Exercise Skill_assesment-Exercise 13.3