T R(s) C(s) D(s) GZOH(S) G(s) Consider the system given above with D(s) = ‚G (s) = 10 (s+2)(s+4) , H(s) = 1 and answer t

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T R S C S D S Gzoh S G S Consider The System Given Above With D S G S 10 S 2 S 4 H S 1 And Answer T 1 (444.32 KiB) Viewed 17 times

T R(s) C(s) D(s) GZOH(S) G(s) Consider the system given above with D(s) = ‚G (s) = 10 (s+2)(s+4) , H(s) = 1 and answer the following questions. 1) Find the open-loop and the closed-loop transfer functions of the system when the sampling switches are closed and the ZOH block does not exist (in other words in the situation of continuous-time control system). Simulate the unit step response of the continuous closed-loop system in MATLAB/Simulink when K=0.5. Plot the control and output signals of the system. 2) What should the sampling period of the digital control system for K=1 be at most considering the primary strip in which the continuous closed-loop poles in s-domain should lie? 3) Find the discrete-time transfer function where K is remained as a parameter. C(z) R(z) 4) Find the interval for K where the closed-loop discrete-time system is stable via employing Jury test. 5) Find the steady state errors (es) for K=1 when (i) the unit step input, (ii) the unit ramp input and (iii) unit parabolic input is applied. 6) Find the approximate settling time and the overshoot of the system output for K=1 and T=2 s. T H(s)