A unity feedback system is described by the block diagram below: R(S) C(s) + G(S) It's...
Consider the unity feedback system is given below Ris) Cs) G(8) with transfer function: -K(s +1) G(S) 52 + 25 + 2 Considering that can have only positive values, the system is unstable when the value of K is ........
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() = K(+2) s(s+ 1/s + 3)(+5) a) Sketch the root locus. Clearly indicate any asymptotes. b) Find the value of the gain K, that will make the system marginally stable. c) Find the value of the gain K, for which the closed-loop transfer function will have a pole on the real axis at (-0.5).
Consider the unity feedback system is given below R(S) C(s) G() with transfer function: G(s) = K s(s + 1)(s + 2)(8 + 6) a) Find the value of the gain K, that will make the system stable. b) Find the value of the gain K, that will make the system marginally stable. c) Find the actual location of the closed-loop poles when the system is marginally stable.
For the unity feedback system below, with For the unity feedback system below, with G(s) s 5) (s 6) C(s) G(s) 1 Draw Clearly the root locus 2- Find the break-in and breakaway points
Q-2 Suppose a system, as shown in the block diagram of a unity feedback loop, below, has a transfer function, P(S) = . We want to stabilize this system with a proportional integral (PI) controller, such that the poles of the characteristic equation are to be: s, = s2 = S3 = -1. If we let the controller, C(s) = , determine all parameters (a, a, b , K, and K) in the following transfer function in order to satisfy...
P10.35 A unity feedback system has the loop transfer function -Ts Ks + 0.54 L(s) = Gc(s)G(s) = *S cos(s + 1.76) where T is a time delay and K is the controller propor- tional gain. The block diagram is illustrated in Figure P10.35. The nominal value of K = 2. Plot the phase margin of the system for 0 < T = 2 s when K = 2. What happens to the phase margin as the time delay LUDronel...
4. A unity feedback system has the following forward transfer function G(s) = s(s+a) (a) Determine K and ath Answer: K 831,000 and a 832 (b) Determine K and a that gives ess-001 and a 10% overshoot Answer: K14000 and a 140 4. A unity feedback system has the following forward transfer function G(s) = s(s+a) (a) Determine K and ath Answer: K 831,000 and a 832 (b) Determine K and a that gives ess-001 and a 10% overshoot Answer:...
7. Consider a unity feedback control system with open-loop transfer function G(s) = k 5 s + 2)(52 + 4s + 5) Find the value of gain K > 0 for which the root locus crosses the imaginary axis.
1. A unity feedback system with its forward transfer function G(s) - K(s+a)/s(s+B) is to be designed to meet the following requirements: (1) the steady-state error for a unit ramp input equals to 0.1 and (2) the closed-loop poles will be located at -1 + j1. Find K, a, and B in order to meet the specifications. (12 points) 2. Given a unity feedback system with its forward transfer function G(s) shown below: s" (s +a) Find the values of...
C(s) G(s) Figure 1: A block diagram for Problems 1-4 For the given unity feedback system with G(s) - s 5)3' (a) Find the location of the dominant poles to yield a 1.2 second settling time and overshoot of 15% (b) If a compensator with a zero at-1 is used to achieve the conditions of Part a, what must be the angular contribution of the compensator pole be? (c) Find the location of the compensator pole. (d) Find the gain...