Consider the unity feedback system in figure 1, determine the response y(nT) at the first four sampling instants using power series method for step input. R(S) T=0.5 sec Z.O.H 1 s (S-2) Fig.1 Sampled data system. C(s)
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- An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity feedback. a. Design a phase lead compensator shown in Figure 3(b) cascaded with the uncompensated system shown in Figure 3(a) that will have a 40% or better improvement of the settling time, at least 3 times improvement in percent overshoot. Assume a compensator zero at (given value zc = -10).Show all the complete solution.QUESTION4 Consider the feedback system in the figure with G(s) Using the Ziegler-Nichols Oscillation Method. %3D (s+1)(s+3)(s+10) for an ideal PID controller C(s) - K, ++ Kps determine the gains K K, and K. Choose the closest set of gains. C(s) G(s) OK, - 18, K, = 12.81, K, = 6.32 O Kp = 4.80, K, = 2.65, Kp = 2.18 O Kp - 47.52, K, = 85.57, K, - 12.60 %3D O K, - 68.64, K, = 143.27, Kp = 8.22Chose True or False * True False If a system is subjected to step input, the type of static error coefficient performs the function of controlling steady state error is position. If a type 1 system is subjected to parabolic input, the value of steady state error will be zero . The elements of rotational motion are the Mass, Spring, Friction. the notation represents the feedback path in closed loop system is c(t). The output signal is fed back at the input side from the Summing point. In an integral controller the output is proportional to integral of input. Two loops are said to be non- touching only if no common Branch exists between them. In block diagram representation, the lines connecting the blocks, known as branches. Order of the system can be determined from the e forward path transfer function of the system. A system with transfer function 1/Ts+1, subjected to a unit step input to reach 63.2% of final value, The value of t is T/2.
- For the control diagram in the figure below. - Design the circuit for the control diagram using ideal opamps. - Determine the mathematical equation of v(t), es(t). With u(t) is the control signal from the Actuator, y(t) is the output signal of the system and feedback to the input, r(t) is the reference signal. Kp is proportional gain, Td, Ti and Tt are time constants. Au Kp*Td At y(t) e(t)=r(t)-y(t) 2 v(t) u(t) r(t) u(t) Actuator Kp/Ti es(t) 1/Tt(b) Figure Q.1b(i) shows a feedback system of unit step response of the system in Figure Q.1b(i). Identify the values of K and A Output c() 2.0 1.6 1.2 3 R(s). 0.2 0.4 K Figure Q.thi 0.8 10 1.2 Time (Sec.) Figure Q.10) ((s) 1.6 1.8Q1)(a) An industrial liquid level system represented by a signal flow graph is shown in Figure Q1(a) using Mason's gain formula i) Identify the number of forward paths and the forward path gains i) Identify the individual loops, two non-touching loops and three non-touching loops. C(s) ii) Obtain the transfer function R(s) for the liquid level system - H1 64 G2 G6 Cs) R(S) G5 - H2 Figure Q1(a)
- ) For a unity negative feedback system G(s) 25 + 6s determine the characteristic equation, the rise time, peak time, percentage maximum overshoot and settling time at 5% of the final value when a unit step input is applied to the system .Determine the closed-loop transfer function ( C(s) /R(s)), and determine the second-order system parameters (rise time, max overshoot, peak time, and settling time) if a step test signal is given for the following system.First order control system and response closed loop feedback control first order system with the a Suppose a plant in system is modelled as a transfer function defined below: Gar (s) ((s)/R(s) (5+2) / (5+5) @Sketch the control system diagram showing the input signal r(t), controller Gr(s), plant Gr (s), output signal CHY and unity feedback. Sketch the zero-pole diagram of the system. Ⓒ find the output response c(t) 의 step input ult) is applied to the system... he system if 16 a unit Ⓒ Which component of the system response c(t) is the forced response for the steady state and which part the natural response (or transient state). ⒸFind the sampling frequency and period that must be selected for this system to meet a sensor delay of 0.025s
- Consider the feedback system. It is known that G(s) has one unstable zero and one unstable pole. On the G(s)-plane -1+j0 point is encircled one time in the clockwise direction as s moves in the clockwise direction on the Nyquist path. What can be said about the closed-loop system? a. Stable O b. C. e. Of. G(s) Has 1 unstable pole Od. Has 2 unstable poles and 1 stable zero Has 1 unstable pole and 1 unstable zero Has 2 unstable poles and 2 unstable zeros Has 2 unstable poles and 1 ustable zero None g.For the system of Figure 2, ? = 2 s and?(?) =?(? + 0.8)(? − 1)(? − 0.6)Figure 2. Unity feedback system.a) Determine the range of ? for stability using the Routh–Hurwitz criterion.b) Determine the range of ? for stability using the Jury test. For more detailed question you can look at the image.Feedback is given in the system as (K.fixed number)