Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
A system with a closed-loop transfer function of the form: T(S) = 10(s + 7) (s + 10)(s + 20) has a(n) ......... .... response. critically damped overdamped undamped underdamped
Determine: 1. The transfer function C(s)/R(s). Also find the closed-loop poles of the system. 2. The values of the undamped natural frequency ωN and damping ratio ξ of the closed-loop poles. 3. The expressions of the rise time, the peak time, the maximum overshoot, and the 2% settling time due to a unit-step reference signal. For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
Problem (2) The open loop transfer function of a feedback system is given by к H (s) = 10 G(s) = ------ - s (s +1) (0.2 s+ 1) Design a controller such that the closed loop system will have a settling time less than 1.0 sec. and a percentage overshoot (PO) less than 5%. Draw the root locus plots of the uncompensated and compensated systems using Matlab.
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
02: For the following closed loop system below: R(s) or L(s) = (s B's ey draw the root locus stable a) and find the range ofk for which the closed loop system, s (s-B)(S-C) b) for Ls) -GrsmisrG draw the root locus and find the range of k for which the closed loop system is (s+A)(s+B)(s+C) stable. c) For (a) and (b), find.: 1 the value of K so that the system is marginally stable, and for that value, find...
Please solve part b and c and d !! Consider the closed loop system shown in Figure 4. The root locus of that system is shown in Figure 5 (s+40s+8) R(s) Y(s) Figure 4 System block diagram of Problem 4 a) On the root locus plot, sketch the region of possible roots of the dominant closed-loop poles such that the system response to a unit step has the following time domain specifications. [5] i. Damping ratio, 20.76 ii. Natural frequency,....
A second-order process is described by its transfer function G(s) = (s+1)(843) and a PI controller by Consider feedback control with unit feedback gain as shown in Figure 1 A disturbance D(s) exists, and to achieve zero steady-state error, a small integral component is applied. Technical limitations restrict the controller gain kp to values of 0.2 or less. The goal is to examine the influence of the controller parameter k on the dynamic response. D(s) Controller Process X(s) Y(s) Figure...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(s) 1 Gpl)s(s+)et s(s 1) s + p a) Assume W(s)-0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Dct (s) Determine the approximate range of values of...