Given that
given equation is
H(s)=Y(s)/X(s)=6 s/s 3 +3 s 2 +9 s+27
using 3 -integrations
3. Using five integrators, sketch the direct simulation of the transfer function Y(s) 6s H(s) X(s)...
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13) (a) Sketch the root locus plot using Matlab. (b) Estimate the system gain when the damping ratio is 7 0.707 (c) Add a simple pole, (s 2), to G (s)H (s) and examine the resulting root locus (d) Add a simple zero, (s +2), to G(s)H(s) and examine the resulting root locus
Given the transfer function 4. G(s)H(s) - (s + 8) (s +6s + 13)...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu y = Cx + Du (b) Suppose that zero input is applied, such that u = 0. Perform a modal analysis of the state response for this open-loop system. Your...
Solve the following using MATLAB:
3. Consider the transfer function: H S ) = 6 2s2 + 6s 2s4 + 8 s +3 .4 L + 3 a) Write lines of code to find the zeros and poles of the above transfer function. b) Write lines of code to find a partial fraction expansion of the above transfer function.
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
Problem 4: Given the transfer function, 25pts 25 H(s) S2+6s 25 (a) (b) (c) Fi Find Please put the units. Find the poles of the system. Is this system overdamped, underdamped, the settling time, peak time, percent overshoot, and rise time. undamped or critically damped. Explain. nd the state space representation in phase variable form of the above transfer function H(s)
3. Consider the causal single input single output system described by the transfer function (6s + 1)(4s + 3) 53 + 8s² + 19s +2 Y(s) U(s) Using the phase variable decomposition method express in terms of the state vector x, state matrix A, input matrix B and output matrix C.
2. The transfer function of a CT LTI system is given by H(s) (s2 +6s +10) (s2 -4s +8) a) Draw the pole-zero plot of the transfer function. b) Show all possible ROC's associated with this transfer function. c) Obtain the impulse response h(t) associated with each ROC of the transfer function. d) Which one (if any) of the impulse responses of part c) is stable?
2. The transfer function of a CT LTI system is given by H(s) (s2...
2. Consider a unity feedback control system whose open-loop transfer function is K(s-2) G(s) (s+1)(s +6s +25) Using the R-H stability criterion, determine the range of K for stability. Assume that K > 0. (30pts)
4. Sketch the Bode magnitude plot ofa fiter having a transfer function 10's H(s)- (s+500) (s+S0s+2500) he following senilog graph to sketch yo ur plot (and please scale the eequeney axis proper a) Please use t receive full credits) b) What kind of filter is it and why? read the approximate 3-dB cut-off frequencies of the filter From your plot ont is the asrsximate.ostt of the filter due to an input, st)- 2sin(400)-3os(10 a) c) frequency axis properly a) Please...
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If Y(s) = G($)U(s), where U (s) = L (u(t)), what is lim+ y(t)? Problem 2: Hand sketch the Bode plot for the transfer function GS) = 52+ 10s + 900