Consider the system shown below where the velocity feedback control is utilized. Determine K and Kh...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: the gain crossover frequency wc should be between w1 and w2. the steady-state error should be zero in response to a unit step reference. the velocity constant should be greater than Kv (in other words, the steady-state unit...
The Class Name is: MAE 318 System Dynamics and Control I Problem 1: Steady-state error analvsis (a) A block diagram of a feedback control system is given below. Assuming that the tunable constant Khas a value that makes this closed-loop system stable, find the steady-state error of the closed-loop system for (a a step reference input with amplitude R, r(t)- R u(t) (ii) a ramp reference input with slope R, r(t) = Rt-us(t) R(s) Y(s) (s+2)(s +5) (b) A block...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
[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)...
G) r(t) Figure 1: Feedback control system A pulley and belt transmission has a linearized relationship between the driven pulley angle θ(t) in degrees and the input torque u(t) in Newton meters given by the following differential equation du(t) A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: 1. the gain crossover frequency a should be between and a 2....
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: the gain crossover frequency wc should be between w1 and w2. the steady-state error should be zero in response to a unit step reference. the velocity constant should be greater than Kv (in other words, the steady-state unit...
A unity feedback system is shown in Fig. 1. The closed-loop transfer function ?(?) of this system is given as ?(?)=?1?4+2?3+(?2+1)?2+?2?+?1. a) (20%) Using Routh-Hurwitz criteria, find expression (in terms of ?1 and ?2) and range of value of ?1 and ?2 such that the above system is stable. b) (4%) It is desired to achieve steady-state error of less than 0.3 with a unit ramp input. Find an additional constrain in terms of ?1 and ?2 such that the...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
4.35 Consider the feedback control system with the plant transfer function G(s) = (5+0.1)(5+0.5) (a) Design a proportional controller so the closed-loop system has damping of 5 = 0.707. Under what conditions on kp is the closed-loop system stable? (b) Design a PI controller so that the closed-loop system has no over- shoot. Under what conditions on (kp, kt) is the closed-loop system is stable? (©) Design a PID controller such that the settling time is less than 1.7 sec.