Find poles and zeros, find system order, find the differential equation model. #7) Find X(s) and...
Given h(t)=(e-t+e-3t)u(t) find: A) The transfer function H(s). B) The locations of all poles and zeros. C) Determine if the system is stable or not D) Find the differential equation for this system.
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
For following differential equation system find the feedback system model (Poi bk(x-x,) - b2 (i - t) =-b2i,+k(x-x, ) + b2 ( - ) For following differential equation system find the feedback system model (Poi bk(x-x,) - b2 (i - t) =-b2i,+k(x-x, ) + b2 ( - )
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
Poles and Zeros For the transfer function given: 0.85 8-44.64 G(s) = 긁+0.83 12.00 Part A-Poles Find the system pole 8 Submit Part B-Poles Find the system pole s2 Submit Part C-Zeros Find the system zero Submit Part D-Type of Response Based on the locations af the poles and zeros, what will be the response to a unit step inpue? O Harmonic Oscillations (Marginally stable) Oscillatory motion with exponential decay tending to zero (stable O Critically damped exponential decay (stable)...
210y= 3r + 6r (1) What is the characteristic equation of this system? (2) What are the system's poles and zeros (3) Plot the poles and the zeros on the s-plane (4) Is this system stable or unstable? Why or why not? (5) Estimate the system's response (not knowing the type of the input) 210y= 3r + 6r (1) What is the characteristic equation of this system? (2) What are the system's poles and zeros (3) Plot the poles and...
1. What are the poles and zeros of G(s) ? Is the system stable? Explain. -flu 10. What are the poles of the following state space system? dt 15. G()(in(3t); what is system steady state response yss )-? x(s) (s+3)
a.)Determine the values of the poles and zeros of the closed loop system shown when the controller gain kc = 0. answer should be no zeros poles at s = 2.0 and -0.5 ± j b.) Compare these with the open loop poles and zeros. c.) Now determine the values of the poles and zeros at some very high gain, say kc = 105 . Determine the values of the poles and zeros of the closed loop system shown when...
2. Transform the following differential equation into an equivalent system of first-order differential equations -3° - 4x' +2.? = 2 cos 4t L M e e 00 O TI
2. Transform the following differential equation into an equivalent system of first-order differential equations 2-(3) – 3r(2) – 4.x' + 2x² = 2 cos 4t