Consider the following feedback control system. The plant transfer function is: 1 as+b P(s) Consider a controller C(s) The desired closed-loop poles are at p1 = s2+3s+1 cs+d -30, P2,3 = -3±j4. (a) What is the expression of the actual closed-loop characteristic equation obtained based on P(s) and C(s)? (b) What is the expression of the desired closed-loop characteristic equation obtained based on the desired closed-loop pole locations p1 and p2,3? (c) What are the values of a, b, c, and d such that the closed-loop poles are at the desired locations? R(s) C(s) P(s) Y(s) Controller Plant

Electrical Engineering Major. Course: EE350 ( System Dynamics and control ).

Hi there, I need help with this question for control systems engineering. Thank you.

Q8 Figure Q8 shows a plant of transfer function G(s) to be operated in closed-loop, with unity negative feedback, where the controller is a simple gain factor K-4, and G(s)-- R E 2 s²+7s+2 controller U. G(s) Figure Q8 (a) Obtain poles of this closed-loop system and determine if this system is stable. (b) Use Routh test to determine range of the controller gain factor K values that would make this closed loop system stable. (c) Formulate Nyquist stability criterion and discuss how this criterion can be used to determine stability of the closed-loop system shown in Figure Q8

The block diagram representation of a tachometer feedback speed control system is shown in Figure 4. R(s) + 15.5 C(s) s+1 Tachometer Ko Figure 4 (i). Develop the closed loop transfer function. (ii). Evaluate the value of DC gain K and the time constant T with the assumption of tachometer feedback variable Ko. (ii). The system step response is represented by y = K(1 – e), sketch the step response curve for the system when the tachometer feedback variable Ko. (iv). Write a general MATLAB codes to reduce the block diagram into a single feedback control system, to calculate transfer function and to obtain unit step response and impulse response. (v). Comment on the step response curve which is obtained in (i) and (iv) with respect to K and time constant T. ko=2 k1=2.2 Note: Refer the Table for Ko and K, values.

For a lead compensator whose zero is (-2,0) is used in a feedback control system to provide a phase lead of 45 .for desired pole location (S1=-2+3.3j), that represents the design specifications, this compensators pole is at

Only parts B and C. No matlab

QUESTION 1 A unity feedback system has open loop transfer function shown below. Find K1 so that the damping ratio = 0.4 and the peak time t,=2 seconds. Here the peak time tp = wa K1 s+ KzK2) HG(s) =

a) Consider the feedback system in Figure Q4 with controller G (s)=- and plant s+a 100 G,(s)=- s+25 Specify K and a of G,(s) such that the overall closed-loop response to a unity step reference input has a maximum percentage overshoot (%OS) of 25% and a 1% settling time of 0.1sec. [Hint: use the approximate relationship %OS = 1 x100% ] 0.6 b) To make the steady-state error to a unit step reference input zero, add an integrator to K. the controller of Q4a, i.e. G,(s)=- Assuming that a has the value derived in s(s+a) Q4a do the following: (0 Draw the root-locus of the closed-loop system, as K takes all positive real values, by computing the locus on the real axis, the angles of asymptotes, the point of intersection of the asymptotes with the real axis and the break points. Show clearly with arrows the direction of the loci. (ii) Find the value of K so the closed-loop system becomes marginally stable. In that case compute the points of intersection of the loci with the imaginary axis.…

Explain what is going on here