by solving characteristic equation,
s^6 + s^5 - 6s^4 - s^2 - s + 6 = 0
we get a root of equation is,
s = -3
s = -1
s = 1
s = 2
s = i (imaginary)
s = -i (imaginary)
so,we say like the 2 poles on RHS , 2 poles on LHS and 2 poles on the jw axis.
A closed-loop system's transfer function is given in the form: T(s) 83 + 752 – 21s...
A closed-loop system's transfer function is given in the form: T(S) = $3 + 732 - 21s + 10 S6 + 55 – 6s+ - 52 - S + 6 How many poles does the system have on the right-half side, RHS of the s-plane, on the left-half side, LHS of the es-plane, and on the jw-axis. O poles on the RHS, O poles on the LHS, and 6 poles on the jw-axis. 1 pole on the RHS, 1 pole...
2. The Nyquist diagram of a system's loop transfer function is shown in Figure 2. Assume that H(s) 1 and G(s) has no poles in the right half plane. Now suppose a gain K is cascaded with G(s) Find the range of positive K for which the system is stable. Im Re 18 0.5 Figure 2
2. Using the Routh-Hurwitz criterion, find out how many closed-loop poles of the system shown in the Figure lie in the left half-plane, in the right half-plane, and on the jw-axis. R(s) C(s) 507 s* + 3s +102 + 30s +169 S
17. Using the Routh-Hurwitz criterion, find out how many closed-loop poles of the system shown in Figure P6.5 lie in the left half-plane, in the right half- plane, and on the jw-axis. R(S) + C(s) 507 $++ 333 + 10s- +30s + 169 S
A system with a closed-loop transfer function of the form: T(S) = 10(s + 7) (s + 10)(s + 20) has a(n) ......... .... response. critically damped overdamped undamped underdamped
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
F(G) = list 62 Transfer function: F(s) = K, s + K2 with closed loop 54 + 5g3+ 45²-10s control system a) H(s) = + F(s) 5(5-1)(8+3+;)(5+3) Find the range of gains in the K, , Kz plane for which closed loop system is stable. And sketch the result. b With K,K, K₂=0.1K, sketch the root locus for system of part (a). Show topen loop poles and zeros, asymptotes of loci fork loci segments on real axis and imaginary axis...
Consider the unity feedback system shown below with 20 G(s)- R(s) + Es) C(s) Using Routh-Hurwitz criterion, determine where the closed-loop poles are located (i.e., right half-plane, left half-plane, jo-axis)
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...