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Block Diagram, System Performance and Responses
1. Simplify the above block diagram and determine the closed diagram function. (Join summing junction 2 and 3, then simplify the block diagram using parallel, cascade and feedback connection.
2. If given transfer function G(s) = 100k/(s+15)(s+27)(s+38) and H(s) = 1, using Routh Hurwitz criterion, find the value of K that will make this unity feedback system, Critically stable.
3. Given K=307.8 in question 2, draw it's bode plots and determine the gain margin and phase margin in the system.
4. Given K=307.8 in question 2 again, find the steady state error for a unit step input and a unit ramp input respectively. If you are required to improve the steady state error and make it to be zero for a unit step input, should you choose a PI and PD controller?
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In this assignment numerical and theoretical questions related to control system design is answered in the word document. The time-domain and frequency domain analysis of the control system is undertaken and all the diagrams and mathematical data is put in the report.
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