s+16 1. (100 points) A control system has a transfer function of T(s): = (s+30)(s²+4s+8) a. Find the zeros and poles of the system, Identify the poles and zeros that dominate the performance of the system. Explain why. b. Find the damping ratio and the natural frequency o with only those dominating poles/zeros considered. Hint: Find the dominant poles first, then check whether you can ignore the effects of the extra poles or zeros. Then you can simply covert that extra pole or zero (S+a) to a in the transfer function.

d) Revise each transfer function to produce unit step response double approximately two tim slower. iii. G(s) 522 $3+24s2+166s+1044 a) Find the location of the poles, natural frequency and damping ratio values. b) Determine the forms and write the general expression for the unit step response c) Find Css (steady state value) and Peak value :. Revise each transfer function to produce unit step response double approximately two tim slower d) Pause

Control........

Control System. Please answer all questions,TQVM

PROBLEM NUMBER THREE Find the transfer function relating the 0,(s) to T(s) for the rotational mechanical network shown. Express your transfer function in a form where the coefficient of the highest exponent of s in the denominator is equal to 1. Provide the numerator and the denominator of your transfer function in the box provided. If the answer is an expression with an exponent, kindly use the exponent feature in the "Text Options". If there is a numerical answer that is nonterminating, it should be expressed up to 2 decimal places only. ... O(1) 18 N-m-s/rad 1 N-m-s/rad T) 02(1) 5 kg-m? 3 kg-m2 0000 9 N-m/rad 3 N-m/rad

Acontrol system is shown in figure belaws. Find K and Ke so that the damping ratio 2=0.6 and damped natural frequency wd = 10 rad/sec. Then, calculate Mp, tr, and to for the wait step input. RIS)+ 1 K₂ 5(5+1) →C(5) SK₂

anyone fast?

Write MATLAB code

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.

The following plot is a step response of a sixth order system. 1. Find the time domain specifications i.e. Tp. Tri. T. and P.O. 2. Find a second order system whose response matches the given response in the following sense a. The percentage overshoot and rise time b. The peak time and settling time c. The rise time and settling time You have to find three systems Aroude 1 14 13) 12 UP E ON ST 06 0.5 DA 03 63 DI 0 6 A W . -CA P.O.= e √1-2 Ts= 4 ζωη Satisfying 2% criteria 10 Control Systems Homework Problem 3 100 M 16 18 20 Step Response for 24 21 20 30 The P.O. -In (100) √²+In² (²00) Tr Tp 2.16+0.60 On 0.3<≤0.8 Onv T 1-32 and 10% to 90% value