For the control system whose block diagram is shown below with G(s) = (2s2+8s+6)/(s3+6s2+8s): (a) Draw the signal-flow graph for this system in the phase variable canonical form and then: %3D 1- Show the state variables on your graph. 2- Write the state differential equation and the output equation in matrix form. (b) Repeat (a) and its branches but this time using the input feed-forward canonical form. U(s) G(s) Y(s)

Q: [ dx, (t) dt 1 X (t) dx, (t) + 0.1 F(t) -0.3 -0.8 dt Consider the given state space model above for…

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Q: 1) A second order control system with derivative control as shown in Figure 1, the effect of…

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Q: K %3D and H(s) = (as+b) ,where K= 15, find the values of 'a' and B3. For the given system G(S) 'b'…

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Q: 2) The forward path transfer function is given by G(s) expression for unit step response of the…

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Q: Since the simplified model of the bumper of this vehicle is as follows, x(t) m F.(t) b a- Find the…

A: (a) When the car is pushed a distance x(t) in the right direction. Write the expression for the…

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A: The free-body diagram of the quarter car suspension system is shown below:

Q: (c) Marlia has developed closed loop system for hydraulic arm for stable positioning. The closed…

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Q: Example # 4 The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for…

A: Need to find the expression for unit step response means we need to find output for the step input

Q: A discrete-time system is modeled by the discrete state-space equations: 0.1 Ik+1 = 1 -0.25 0 Ik +…

A: The equation for the space model is given by: xk+1=Axk+Buk,yk=Cxk Here,…

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Q: The block diagram below shows a feedback controller for controlling the pitch angle 0(t) of an…

A: The given block diagram close loop system is Cs=Ks+1s. We need to find the steady state error for a…

Q: Problem 2 Given: f(W,X,Y,Z) = Σm(4,5,7,9,10,15) + Ed(2,6,11,13) In consideration with the most…

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Q: Q2: Using Quine–McClusky method (Tabular method) to find the minimum sum-of-products from the…

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Q: Problem 2 Given: f(W,X,Y,Z) = Zm(4,5,7,9,10,15) + Zd(2,6,11,13) In consideration with the most…

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Q: b) Solve the given system of differential equation by Laplace Transformation di, Current in lst loop…

A: Given   L1 =0.8H L1 =1H R1=1.4Ω R2=1Ω V (t) =100 V i1 (0) =0 A i2 (0) =0 A Substitute in equation…

Q: a. Graphical location of Poles and Zeros in the z-plane. b. Unit step-response assuming initially…

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Q: Consider two systems one is second order and the other is third order. The characteristic equations…

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Q: n figure 2, constant damping ration curve, constant frequency curve and constant time constants are…

A: Given ; Ts = 0.3 sec  ⇒σ+jω = rejω⇒ rej(45o+900) ⇒rej135o  z = eSTs  =e(σ+jω)0.3 if  σ=o , jω…

Q: le M K B. For the system shown in the figure above, differential model equations are given below.…

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Q: If the system is represented by characteristic equation s6 + s4 + s3 + s2 + s + 3 = 0, then the…

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Q: Q2 (a) Given the following signal. a[n] = { ..., 2 ,3,1,2,3,1,2,3,1, ... } b[n] = {…

A: First we add the signals a and b to get c. Then we will perform convolution on c. From result we…

Q: (c) Marlia has developed closed loop system for hydraulic arm for stable positioning. The closed…

A: We will apply Routh Hurwitz criteria to find the value of k for stability .

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A: We need to design a phase-lead compensator for a system whose plant transfer function is…

Q: Which of the following signal-flow graphs is the phase-variable canonical form representation of the…

A: which of the following signal flow graphs is the phase variable canonical form representation of the…

Q: control system

A: (a) Draw the free-body diagram of mass and shaft.

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Q: Q2) The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for unit…

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Q: Marlia has developed closed loop system for hydraulic arm for stable positioning. The closed loop…

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Q: A discrete-time system is modeled by the discrete state-space equations: 0.1 Xk+1 = 1 -0.25 X'k +…

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Q: Let i(0)=2 A. (a)In the s-domain, what is the Thevenin impedance seen by the 1-ohm resistor? (b)…

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Q: 1. For the following mechanical translational system a. Write two differential equations of Order in…

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Q: B-Discuss the stability of the system given by the characteristic equation: 2s5+s4 + 6s³ + 3s² + s =…

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Q: Problem 1. The translational system given has the following mass, friction and spring related…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider the system is the following figure. ) K2 = 5 N/m x,(1) K1 = 4 N/m At) %3D = 3 N-s/m M =1 kg…

A: We will draw free body diagram and then we will apply force balance to get equations.

Q: Q8/ For the mechanical system shown below. Assume the friction between the mass and the ground is…

A: Consider the system below: We have shown that the choice of state variables yields the state space…

Q: Q4. The behaviour of a system root locus can be estimated by identifying the poles and zeros…

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Q: Q2) The forward path transfer function is given by G(s) 9/s(s+6). Obtain an expression for unit step…

A: As per our policy, i can solve only first question.

Q: A phase lead controller is described by the transfer function C(s) - k(1 + TES) (1 + aT,s) where, T…

A: A phase lead controller is described by the transfer function: C(s)=k(1+Tls)1+αTls where Tl and…

Q: Consider the circuit given below. 2 ΚΩ Зи() V 1 kQ. If C = 10 nF, obtain an expression for vC valid…

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Q: Consider the L-R-C circuit modeled by ,d°Q ÕP Q = E, sin ox,Q(0) = Q, MO) = Q'(0) = I,. Determine…

A: Write the given expression and Differentiate it.…

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).