E ln.Facebook9:56cand ourputy of astem are15%The idescribed byInstrumentation and Control...) jusal iتم المصدرDetermine how the output will vary with time when there is an inputwhich starts at zero time and then increases at the constant rate of6 units/s. The initial output is zero.344 js 255250 Instrumentation and Control Systems23 The input x and output y of a system are described by the differentialequation:dra +-a + 2y =xIf initially the input and output are zero, what will be the outputwhen there is a unit step input?24 The input x and output y of a system are described by the differentialequation:+4 +3y =xIf initially the input and output are zero, what will be the outputwhen there is a unit impulse input?25 A control system has a forward path transfer function of 2/(s + 2)and a negative feedback loop with transfer function 4. What will bethe response of the system to a unit step input?26 A system has a transfer function of 100(s +s+ 100). What will beits natural frequency co, and its damping ratio (?27 A system has a transfer function of 10/(s + 4s + 9). Is the systemunder-damped, critically damped or over-damped?28 A system has a transfer function of 3/(s + 6s + 9). Is the systemunder-damped, critically damped or over-damped?29 A system has a forward path transfer function of 10/(s + 3) and anegative feedback loop with transfer function 5. What is the timeconstant of the resulting first-order system?30 Determine the delay time and the rise time for the following first-order systems: (a) G(s) = 1/(4s + 1). (b) G(s) = S/(s + 1). (c) G(s) -2/(s + 3).31 A first-order system has a time constant of 30 s. What will be itsdelay time and rise time when subject to a unit step input?32 A first-order system when subject to a unit step input rises to 90% ofits steady-state value in 20 s. Determine its time constant, delay timeand rise time?33 Determine the natural angular frequency, the damping factor, therise time, percentage overshoot and 2% settling time for systemswith the following transfer functions: (a) 100/(s + 4s + 100), (b)49/(s + 4s + 49).34 Determine the natural angular frequency, the damping factor, therise time, percentage overshoot and 2% settling time for a systemwhere the output y is related to the input x by the differentialequation:sis+ 2da +s + 16y = 16x35 For the feedback system shown in Figure 10.16, what gain K shouldbe used to give a rise time of 2 s?Figure 10.16 Problem 35System response 25136 For the poles shown on the s-planes in Figure 10.17, which will giverise to stable transients and which to oscillating transients?37 Are the systems with the following transfer functions stable?Imag.ImagReal(a) 2+1 (6) -2+ 10. ( +1X4 - 3)Real(c)(a)(b)38 Figure 10.18 shows a feedback control system with unity feedback.Will the system be stable when (a) K = 1, G(s) = 1/s(s + 1)). (b) K-Imag.Imag

Question

Accepted Answer

Since you have asked multiple questions in a single request, we will be answering only the 1st…

23 The input x and output y of a system are described by the differential equation: +3 + 2y =x