A PD controller with proportional gain K, and derivative gain Ka is in series with a plant with the transfer function (c) 4 G(s) %3D s + 0.5 and employs a unity negative feedback loop. Find suitable values for K, and Ka so that the closed-loop system has a time constant t = 4 sec, and the closed- loop response to a step input is 0.98. Find the range of K, for which the closed-loop system shown in Figure Q1d is stable. (d) R(s) C(s) K1 s + 8 (s + 1)(s + 5) Figure Qld

A PD controller with proportional gain K, and derivative gain Ka is in series with a plant with the transfer function (c) 4 G(s) %3D s + 0.5 and employs a unity negative feedback loop. Find suitable values for K, and Ka so that the closed-loop system has a time constant t = 4 sec, and the closed- loop response to a step input is 0.98. Find the range of K, for which the closed-loop system shown in Figure Q1d is stable. (d) R(s) C(s) K1 s + 8 (s + 1)(s + 5) Figure Qld

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.3P

See similar textbooks

Similar questions

below is the representation of a linear control system in the state space.a) examine the controllability and observability of this systemb) estimate the unit digit response by finding the current eigenvalues of this systemC) find the feedback Matrix K= (k1 k2) that must be applied so that the system can be a two - layer root in-2
Figure Q2 shows the block diagram of a flight control system.a) Derive the system transfer function.b) Find out the system gain, natural frequency and damping ratio for this systembased on the standard form of second order systems.c) If K1 = 2 and K2 = 10, use the standard response sheet to find out the systemsteady-state value, overshoot and 63% rise time, with a unit step input.
are given a system’s transfer function as T(s) = 21 Construct a state-space model for the given system using ” Observer Canonical Form” method. | that the full state information of this system is available, design a state-feedback controller for this put the desired closed loop poles at ~2+ 2. Now, assume that the state information of the system are measurable, for this case what kind of controller do you suggest? Design this controller so that the ¢ Joop poles of the system are located at —10 + 510.
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a?
. Question 04: A process has a liquid storage tank has an open loop transfer function given by G(s). a) Since it is desired that the closed loop system presents Mp = 10% and Ts = 4.5 sec, design a PID controller using the LGR method. Explain why this controller should be used. b) With the controller designed, obtain the closed loop transfer function of the system. Note: Consider the step-type reference and unitary and negative feedback and response.
Consider the unity-feedback control system with the following feedforward transfer function: G(s) = K / s(s2+4s+5) (1) Plot the root locus. (2) Determine closed-loop poles that have the damping ratio of 0.5. Find the gain value K at this point. (3) For what value of K is the overshoot less than 10% and the maximum rise time less than 1.5s.
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?
Consider the two feedback control strategies shown in Fig. (withG=GvGpGm) and the following transfer func-tions:Gp(s)=Gd(s)=2(1−s)/s,Gv(s)=2,Gm(s)=1(a)Design an IMC controller,G∗c,usingafilter,f=1/(τ꜀s+1).(b)Suppose that the IMC controller will be implemented as a controller Gc in the classical feedback control configurationof (a). Derive an expression forGcandreportitinastandard form (e.g., P, PI, or PID).
For the open-loop system G(s) = 3/s^2 + 2s - 3 assume there is a feedback with a proportional gain, K. And sketch a locus of closed-loop rootsverse K. What is the minimum value of K to achievea stable system?
Below is given the forward transfer function of a unity-feedback system.a) Determine the position, velocity, and acceleration error constants Kp, Kv, and Ka and the steady-state error for step, ramp, and parabolic inputs;b) If possible, use a proportional controller to give a steady-state error for ramp input of e_ss(ramp) ≤ 0.01; c) Determine the controller necessary to give zero steady-state error for a ramp input;d) Determine the controller necessary to give zero steady-state error for aparabolic input.
below is the representation of a linear control system in the state space.a) estimate the unit digit response by finding the current eigenvalues of this systemb) find the feedback Matrix K= (k1 k2) that must be applied so that the system can be a two - layer root in-2
The open loop transfer function of unity feedback system is ??(??) = ??????????(??+??)(??+????).1- Assess the stability of the system.2- If the gain ?? is connected in series with G(s) as shown in figure Q1, Determine the range of ?? for stable system.