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10 Digital Control Systems Sampling, Z-transform, transfer function

Reg1_slide4 Chap. 13.1-3,4,(5) J.Nybo Rev.:14.04.04. 10 Digital Control Systems Sampling, Z-transform, transfer function. From analog to digital system. Figure 13.1 Conversion of antenna azimuth position control system from: a. analog control to b. digital control.

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10 Digital Control Systems Sampling, Z-transform, transfer function

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

  2. From analog to digital system Figure 13.1Conversion of antennaazimuth positioncontrol system from:a. analog control tob. digital control

  3. Block-diagram of digital system Figure 13.2a. Placement of the digital computer within the loop;b. detailed blockdiagram showingplacement of A/D and D/A converters

  4. Digital-to-analogconverter Figure 13.3Digital-to-analogconverter

  5. Steps in analog-to-digital conversion: Figure 13.4Steps in analog-to-digital conversion:a. analog signal;b. analog signal after sample-and-hold;c. conversion ofsamples to digitalnumbers

  6. Two views of uniform-rate sampling: Figure 13.5Two views of uniform-ratesampling:a. switch opening and closing;b. product of timewaveform andsampling waveform

  7. Ideal sampling and thezero-order hold Figure 13.7Ideal sampling and thezero-order hold

  8. Zero Order Hold

  9. Z-transform of a sampled signal

  10. Table 13.1Partial table of z- and s-transforms

  11. Table 13.2z-transform theorems

  12. Inverse z-transform • Partial fraction expansion (partial brøker) • Power series (polynomiers division) • Tables

  13. Pulse Transfer Function Figure 13.8 Sampled-datasystems:a. continuous;b. sampled input;c. sampled inputand output

  14. Sampled-data systems and their z-transforms Figure 13.9Sampled-data systems and their z-transforms

  15. Exercise • Skill_assesment-Exercise 13.3

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