The block diagram of a linear control system is shown in the Fig, wherer(t) is the reference input and n(t) is the disturbance.a) Find the steady-state VALUE of e(t) when n(t)= 0 and r(y) tus(t). Findthe conditions on the values of and K so that the solution is validUse MATLAB:b) Constrct the root loci for K>=0 with = 1. Analyze the resultc) Construct a Bode plot and analyze the phase margin and gianmargind) Construct the Nyquist Diagram and analyze the system stabilitye) Show the system response to a unit step command for n(t0= 0 anda unit step disturbance input for r(t)N(5)Rcs)E(s)staScontroller+KCS+ 3)(s² -1)ProcessY(s)

Solution for the MATLAB portion."Since you have posted a question with multiple sub parts, we will…

Answered: The block diagram of a linear control…

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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Similar questions

A second-order system has a natural frequency of 2.0 Hz and a damped natural frequency of 1.8 Hz. What, for this damping, is (a) the damping ratio, (b) the percentage maximum overshoot, (c) the 2% settling time, (d) the number of cycles of oscillations that will occur within this settling time?
This system has an input of a unit step function or u(t). Find: a.) Output Equation c(t) (numerator and denominator) b.) The nature of the response of c(t) ...
4) For the circuit in figure a) What is the relation between Icharging and q? b) Write down Kirchoff's potential law clockwise around the circuit in terms of the variables q and dq/dt. c) Seperate the differential equation so that it is ready to integrate. Do not integrate. Switch S. Vs 5) For the circuit in figure a) Write down Kirchoff's current law at the point e. b) Write down Kirchoff's potential law around the loop abcdea. c) Write down Kirchoff's potential law around the loop abcdefgha. Do not solve the equations 4=18 V 0.50 250 S. S150 050
Consider the given system with input R(s) and output C(s) as shown in figure. • Calculate the natural frequency of oscillations, damping ratio, peak time, rise time, settling time, percentage overshoot and damped frequency of oscillations. • Also find the (time domain) expression for unit step response and Plot. Note: x=3
True Fuels If the dumping ratio is between 0 and 1, the system poles are complex conjugates. The To Workspace Sink Block like the To File Sink Block, the time is not saved in the variable, and must be stored separately ir the damping Mactor/is zero, the unit-step kesponse is a Pufey sinusoidal.
Consider the system represented by the differential equation. d³y d²y dy = du +6. +11 +6y 18+ 6u dt³ dt2 dt dt 1) Find the state-space representation in diagonal canonical form (DCF). 2) Draw the simulation diagram.
For the step response of the system given below, determine the rising time, percentage overshoot (P.O.), and steady state error by inspecting and reading this plot. please inlcude all steps
31 A first-order system has a time constant of 30 s. What will be its delay 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% of its steady-state value in 20 s. Determine its time constant, delay time and rise time? 33 Determine the natural angular frequency, the damping factor, the rise time, percentage overshoot and 2% settling time for systems with the following transfer functions: (a) 100/(s + 4s + 100), (b) 49/(s + 4s + 49). 34 Determine the natural angular frequency, the damping factor, the rise time, percentage overshoot and 2% settling time for a system where the output y is related to the input x by the differential equation: 쫓+5%+16y= 16x s(s + dz2 dr 35 For the feedback system shown in Figure 10.16, what gain K should be used to give a rise time of 2 s? Figure 10.16 Problem 35
Determine the exact solution of the following differential equation y = 2 - y at y(0)=1. So the value of y(1.5) is .. O a. 1.753 Ob. 1.777 O c None of options O d. 1.798 O e. 1.699
True Fuels If the dumping ratio is between 0 and 1, the system poles are complex conjugates. The To Workspace Sink Block like the To File Sink Block, the time is not saved in the variable, and must be stored separately IT the damping factor/is zero, the unit-step response is a Pufely sinusoidal.
Problem 2: a. Compare the performances of the first order system, the overdamped, underdamped and critically damped second order system. b. Explain how the performances of second order system depend on the damping ratio and the natural frequency.
Explain the implications of integral and derivative control on damping and steady-state errors.

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