A system for dispensing radioactive fluid into capsules is shown in Figure AP3.8(a).The

Chapter 0, Problem AP3.8

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A system for dispensing radioactive fluid into capsules is shown in Figure AP3.8(a).The horkontal axis moving the tray of capsules is actuated by a linear motor. The .v-axis control is shown in Figure AP3.8(b). (a) Obtain a state variable model of the closed-loop system with input r(t) and output y(t). (b) Determine the characteristic roots of the system and compute K such that the characteristic values are all co-located at Si = -2, = -2 , and S3 = -2 . (c) Determine analytically the unit step-response of the closed-loop system.

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