Please show all work, really need to double check this one.
Please show all work, really need to double check this one. 3. Consider a system with...
Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
An unstable LTI system has the impulse response h(t)=sin (4t)u(t). Show that proportional feedback (G(s) = K) cannot BIBO-stabilize the system. Show that derivative control feedback (G(s) = Ks) can stabilize the system. Using derivative control, choose K so that the closed loop system is critically damped. 7. (a) (b) (c) %3D E(s) System но) X(s) (E +Y(s) Feedback G(s) Y(s) Y(s) system G(s) Feedback loop Figure 4. o of
Need help with 1a and 1b. Please show all work I (a) The unit step response of a linear control system is shown below: 1.35 1.0 0 0.1 (sec) Find the transfer function of the second-order prototype system to model the system (b) The block diagram of a unity feedback control system is shown below. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and Kt...
uestionI. A system is represented by the following transfer function G(s)- (s+1)/(s2+5s+6) 1) Find a state equation and state transition matrices (A,B, C and D) of the system for a step input 6u(t). ii) Find the state transition matrix eAt) ii) Find the output response of system y(t) to a step input 6u(t) using state transition matrix, iv) Obtain the output response y(t) of the system with two other methods for step input óu(t). Question IV. A system is described...
Problem 51: (25 points) Figure 5 is an example of a feedback control system that is designed to regulate the angular position θ(t) of a motor shaft to a desired value θr(t). The signal e(t) represents the error between the measured shaft angle θ(t) and the desired shaft angle θ (t). The Laplace transforms ofa,(t), θ(t), and e(t) are denoted as ΘR(s), θ(s), and E(s), respectively. The control gains Ki and K2 are chosen by the control engineer to achieve...
Task: 4 (35 Marks) The block diagram representation of a CNC machine speed control system is shown in Figure 4 with the gain of K, and the feedback value of K2. R(s) + cls 100 1 + 0.2s G1=6.5 K1=14.5 K2=0.55 R=3 L=7 C=0.5 Figure 4 (i). Evaluate the closed loop transfer function of the CNC speed control system; (i). Estimate the value of time constant (T) and dc gain K for the CNC speed control system; Note: Each student...
Please solve clearly and step by step. nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2 dB, or M, 2 dB. nity-feedback open-loop transfer function is B-7-28. Consider a u control system whose G(s) s(s2+s +0.5) Determine the value of the gain K such that the resonant pcak magnitude in te frequcncy response is 2...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...