Problem 2: For the unity feed back system with given G(s) below find the system types and solve for all steady state error for unit step, ramp and parabolic inputs and compute the position, velocity and acceleration error constant. G(s) = = 5(s+1) s² (s +12) (s+5)
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- Find the range of K using Routh criterion such that all the roots of the characteristic equation lie between -1 and -2 s^3+8s^2+15s+K Also find the value of K for which system is limitedly stable?Find: Static position, velocity, acceleration error coefficients, and corresponding steady state errors. G(s)= K(2s+1)(4s+1)/s2(s2+2s+10) Note: This is a open loop function, input signal are unit step, unit ramp and parabolic. I need answer ASAP. Thank you!By plotting the root locus of the system given as the open loop function : G(s)= K/(s*(s+2)); a) When K=4, show the locations of the closed loop poles on the root locus. Determine the Damping Ratio and Natural Frequency values in this gain value. b) Calculate the unit step response of this closed-loop system by calculating the Percent Overshoot, Peak, and Settlement Time values and plot them to scale. c) Scan the region on the root locus where the pairs of conjugate poles must be in order for this inspected system to work at least in the success criteria (greater than the calculated damping rate and natural frequency) in (a).
- (a) Assume the resistance is constant: R = 100.Check by direct substitution that the function VC (t) = 9(1 – e^−10t ) satisfies the ODE and the initial condition. (b) Now assume that the resistor slowly degrades, so that its resistance increases with time: R = R(t) = 100 + 2t. Solve the ordinary differential equation for VC (t) with this resistance, using either separation of variables, or the integrating factor method. Make sure to also include the initial condition.Enter the value of the K coefficient required for the marginally stable/unstable system of a system whose characteristic equation is given as s3+6s2+3s+K=0.4.b 1- Draw the SFG diagram 2- When8u(t)is applied as input, enter the steady-state value of the system into the solution field given below
- Given G(s) in the picture, determine: 1. The poles, the zeroes, and the region of convergence of G(s) 2. Sketch the pole-zerio diagram of G(s) 3. Is G(s) stable? Explain.Find and sketch the region of allowable s-plane locations such that a canonical second order system has a settling time less than 4 seconds and an overshoot (for a unit step response) of less than 10 percent.Find out following:i. Sketch the root locus.ii. The number of branches of the root locus.iii. The value of ? and gain ? where the locus crosses the ??-axis.iv. The breakaway and break-in point on the real axis.
- Determine whether the system with the characteristic equation S⁵+S⁴+2s³+2s²+S+1 using Routh Hurwitz CriterionI need help on this asap:1. Is the system ?a) Not unstableb) Not asymptotically stablec) Unstabled) Asymptotically stable2. For the dynamic system defined, choose the rank of the controllability matrix from the list given below:a) 2b) 4c) 3d) 0e) None of the above 3. For the dynamic system, choose the rank of the observability matrix from the list given below:a) 3b) 2c) 0d) 4e) None of the aboveWhat are the pros/cons of a second-order dynamic system? What dynamic property is the preferred in general, underdamped, critically damped or overdamped and why?