Digital compensator

In sections 5.4 and 6.6, compensator design in the. v-plane and the frequency domain were discussed for continuous systems. In the same manner, digital compensators may be designed in the z-plane for discrete systems. 

Digital compensator design using pole placement... 

Example 7.7 Digital Compensator using Tustin s Rule %Laser Guided Missile num=[20] ... 

Here pole placement is used to design a digital compensator that produces exactly the step response of the continuous system. 

Example 7.8 Digital Compensator Design using Pole Placement... 

The continuous and discrete closed-loop systems are shown in Figures 7.22(a) and (b). The digital compensator is given in equation (7.128). Script file examp78.m produces the step response of both systems (Figure 7.25) and prints the open and closed-loop continuous and pulse transfer functions in the command window... 

If the form of the load disturbance is specified and the desired output is fixed, the digital compensator (which we will call can be calculated from... 

Design a sampled-data minimal-prototype digital compensator for step changes in setpoint that does not ripple. 

The digital compensator that gives minimal prototype setpoint response for step changes is... 

The design of digital compensators was discussed in this chapter. The conventional root locus, frequency response, and direct synthesis methods used in continuous systems in the j plane can be directly extended to sampled-data systems in the z plane. 

If a digital compensator is used on this process that has the form... 

Another technique known as the photoelastic coating technique can be used to photoelastically stress-analyze opaque plastic parts. The part to be analyzed is coated with a photoelastic coating, service loads are applied to the part, and the strains on the surface of the part are transmitted to the coating, which assumes the same strain condition as the part. The coating is then illnminated by polarized light from the reflection polariscope. With a digital compensator attached to the polariscope, quantitative stress analysis can be easily performed (27). In summary, photoelastic techniques can be used successfully for failure analysis of a defective product. 

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