メラQ6: Consider a linear system described by the T.F,Y(s)U(s) s (s+ 1)(s+2)10%3DDesign controller with a state feedback so that closed loop poles are placed at-2,-17j.

According to the question, the transfer function of a linear system is described by YsUs=10ss+1s+2;…

Answered: Q6: Consider a linear system described…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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A car was ignited & a signal from the engine i.e a(z) was passed through a cascade of 2 passive RC lowpass filters to generate an output signal, b(z).a.Show a differential equation derivation to describe the systemb.Make a sketch utilizing circuit diagramc.Mention if the RC system in question above isi.Time in-variant / Time variant ii.Non linear / lineariii.Non-invertible / Invertibleiv. Non-causal / Causal v. Have no memory / Have memory sytems.d. d2b(z)/dz2 + 3(db(z)/dz) +2b(z) = 3(da(z)/dz) +2a(z)Let's assume that the d.e(differential equation) above is that which is characterised by the RC system in the main question above.Where a(z) & b(z) is the input & output of the RC system respectively.Considering an impulse of a(z)=δ(z) is applied to the system, determine the output b(z) of the system
The controllable canonical state space form of the system whose pulse transfer function is given below.get it.
b) G(?)=K [(S−1)(S−2) / (S+2)(S+3)] ; Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. c) Define the gain and phase margin, this time on the nyquist curve.
Given the signal flow graph: 1. How many forward paths are there from R(s) to C(s)? 2. How many pairs of non-touching loops are there? 3. Are there three non-touching loops? True/False
The transfer function is H(s) = (1.2s+0.18)/(s3 + 0.74s2 + 0.92s) and C(s) = (K(s+1))/ s A) A disturbance input W(s) =W/sk , where W is a constant, into the feedbackcontroller as shown below. We set R(s) = 0. What type of disturbance input W(s)(step, ramp, or parabola) can thesystem reject (i.e., the steady-state error ess is a nonzero constant)? (B) Suppose you want to design the controller C(s) to produce a closed-loop response to areference step input that has no more than 30% maximum overshoot (Mp ≤ 0.30) and a peak timeof no more than 8 sec (tp ≤ 8). Given the specifications on Mp and tp , compute the constraintson the damping ratio ζ and the damped natural frequency ω, assuming that the closed-loop systemis approximated as a 2nd-order underdamped system. Sketch the allowable regions in thecomplex plane (the s-plane) that these constraints define, and shade in the regions where the polesshould not be placed.
Kindly solve this equation using the mason’s rule and draw the signal flow diagram.
A hard disk drive (HDD) is an electro-mechanical data storage device that stores and retrieves digital data using magnetic storage and one or more rigid rapidly rotating platters coated with magnetic material. Figure 1 shows a simplified block diagram of a HDD. For analysis purposes, given gain K=30 and G(s)=1 / s(s+4) determine the open-loop and closed loop poles of the HDD and plot these separately in the S-Plane. Also discuss the stability using two different approaches.
The CT signal x(t)=3cos (600πt) + 6cos2(mπt) is critically sampled (Nyquist rate)by fs=4000 Hz. Find:i. The value of m.ii. The frequency components of the signal.iii. The frequency resolution (∆f) of the output spectrum if the sampled signal isprocessed by 64 point-DFT.iv. Define frequency resolution.
Given the linear mechanical system below:Determine the transfer function ?3(?)/?(?). Express your answer as a single fraction andarrange the degree of variables in descending order.
1. Since this is a first order system, provide expression for the time constant. 2. Provide a state space representation of the system. 3. Obtain the transfer function of the system using the state space model. 4. Determine the control gain Kp that results in steady-state error of 0.1
1. The CT signal x(t)=3cos (600πt) + 6cos2 (mπt) is critically sampled (Nyquist rate)by fs=4000 Hz. Find:i. The value of m.ii. The frequency components of the signal.iii. The frequency resolution (Δf) of the output spectrum if the sampled signal isprocessed by 64 point-DFT.iv. Define frequency resolution.
Apply the Circular convolution property of DFT to produce the result of an input signalx(n) =B{,B/2,B/3} with the impulse response H(n)= C{ C/2,C/3} Where B=32 C= 1.6

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Q6: Consider a linear system described by the T.F, Y(s) %3D 10 U(s) s (s+ 1)(s+2) Design controller with a state feedback so that closed loop poles are placed at -2,-17j.