5. (a) A state space model of a system is given by x =Ax+bu y3Cx with A= 10. [o ]=0 : State variables X1 and x2 are the physical variables of the system. Evaluate the response of the system to a unit step input under zero initial conditions from the state space model.

5. (a) A state space model of a system is given by x =Ax+bu y3Cx with A= 10. [o ]=0 : State variables X1 and x2 are the physical variables of the system. Evaluate the response of the system to a unit step input under zero initial conditions from the state space model.

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...

See similar textbooks

Related questions

Q: Question #4. by a differential equation given as Input output relationship of a continuous time…

A: d2y(t)dt2-4y(t)=x(t)

Q: 8 U Find iL(0-), v(0"), iL(0*), v(0*), - The switch in the circuit of Figure Q.3 has been at…

Q: 2. Consider the spring-mass-damper system shown in Figure 1. Ifm = 10 kg, b = 30 N-s/m, k = 1000…

Q: Find and draw the waveform of the unit step response of a system with transfer function G(s) = 1-25…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: discrete-time system is give by the input/output difference equation…

Q: Is this system

Q: For the open-loop control system described by the block diagram shown in figure below. determine the…

Q: 5. For the system described by the difference equation y (n) = 0. 7y (n – 1) – 0. 1y (n – 2) + 2x…

Q: What do you think is the benefits of knowing Fundamentals of Mixed Signals and Sensors. What will be…

A: We have given the following problem

Q: In engineering, where could we use the concept of optimization, specifically, maximization? please…

A: Optimization is the process of selecting the optimal element (based on a set of criteria) from a…

Q: For the system shown take the output to be the displacement x1. Find the response of the system to a…

Q: subject name is "DIGITAL ELECTRONICS" Send me the answers of all questions in the picture

Q: 2.3-3. Consider the system illustrated in the figure. a. Give a state-variable realization of this…

A: Introduction What are controllability and observability: Two crucial aspects of state space analysis…

Q: Consider the following unity feedback control system in figure below. The range of K for stability…

A: In the system, What is value of range of K for the stability. We are solving this problem using the…

Q: d²y(t) dt²- 4y(t) = x(t) where x(t) denotes the input while the output is denoted by y(t). The…

Q: (iv) When doping a semiconductor n type, the bandgap of the material will: Increase Decrease /…

A: Due to the doping , Fermi level will shift towards the conduction band .

Q: 4. Solve for the zero-input, zero-state responses, and the total response of the system shown below.…

A: Given: Inital conditions, y-t=1y-2=1 and xn=3un To find: Zero-input, zero-state response

Q: For a function with forward path transfer function G(s) = it is desired to design a Pl controller…

Q: Design equation F(A,B,C,D) =[(1,2,5,9,10,11,13,15) using a 8x1 Mux? and 4x1 Mux?

Q: What happen when the two transformers are operated in parallel having un equal turn’s ratio.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (a) The completed K-map (below) corresponds to a particular digital circuit. A X 0 1 BC 00 1 1 01 0…

A: The given k-map can be used to obtain simplified Boolean expression by group the terms start from…

Q: 1) An LTI (Linear Time Invariant) system is given below with an input x[n] and output y[n] y[n] =…

Q: One of the most important characteristics of control systems is their transient response Select…

A: Need to find true statement

Q: Problem 1. Consider the plant in the folowing control system. 10 G(s) =+s+ 10 First, determine thc…

A: Consider the given expression for the plant, Gs=10s2+s+10 The natural frequency is given by:…

Q: In the circuit shown let c=l il the initial current is icos al the initial and is vcus =1 find the…

A: Given data, Capacitor, C = 1. Inductor, L = 1b2. i(0) =1. V(0) = 1.

Q: A spring-mass-damper system has transfer function as follow: TF = (35²+45+k) Spring constant is…

Q: Q1) B A continuous state-space representation of a sys N-C-A y = [1 0 [x₂] Find the zero order hold…

Q: The statements given below in terms of linearity, time invariance and causality classify.

Q: Determine the steady-state value of the closed-loop system in response to a unit set-point change.…

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

Q: A system has the following transfer function: 6s2 + 2s + 26 G(s) : 2s2 + 8

Q: Problem 4. Show that the expression x(t) = te 2 is a solution of the critically damped oscillator.…

Q: The output y[n] of a system T

Q: For the circuit shown, given that R1=R2=1 ohm, R3=2 ohms, L=4H and C=o.5F, do the following (use the…

Q: Given a Boolean equation as follows: f(v,w,x, y, z) vw(x + y + xz') + v'x'z(wy' +x'(z' + v'y)) %3D…

A: According to the question, we need to simplify the given boolean expression by using K-Map f(v,w,…

Q: The Moore state diagram on the right shows input w on edges and output z in states. (a) Draw the…

Q: e) Find the impulse response by finding the inverse of H(z) (method of partial fraction exp)

A: We are answering e only as specified. e) The above difference equation is given as: yn+16yn-2=xn It…

Q: Given the two sequences x[n] = [2, 3, 4] and h[n] = [1, 0,2], a) Find the circular convolution of…

A: Solution- Given sequence is,x[n] = [2,3,4]h[n] = [1,0,2]

Q: 1) Considering the control system with T.F.: 20(2s + 8.05) s(s2 + 2s + 7)(4s2 + 15s + 23) G(s) = The…

Q: Are the following systems linear? Is it memoryless? Is it causal? Explain your answer. Can impulse…

A: Given y(t) = e-t u(t) Find the system is linear, memoryless and causal ?

Q: Using the Nyquist criterion, find the range of K for stability of the system in Figure (a) below.…

A: The given control system isThe Nyquist plot for K=1 isWe need to find the range of 'K' for system…

Q: Y(s) 10 Given a plant model G(s) = where y is the displacement of the actuator tip in U(s) s(s+10)'…

A: Transfer Function: For all potential input values, a transfer function represents the relationship…

Question

5. (a) A state space model of a system is given by
x =Ax+bu
y3Cx
with A=
[o ]=D:
10.
State variables X1 and x2 are the physical variables of the system. Evaluate the
response of the system to a unit step input under zero initial conditions from the
state space model.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 state space model

VIEW

Step 2 Calculation

VIEW

Step 3 final output

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

a iig.2, for A(s) = H(s) = 1. Find the values of N, a, b, and K. Determine the values of A(s) and H(s) so that the steady- state error is equal to zero. lincar control system and the corresponding time response to a unit-step input are shown R(s) K C(s) 0.8 S(s +as +i} 0.4 0.2 H(s) Fig.2 Time (sec)
25 The settling time of a system G(S) is (S2+5 S+25) sec when the output settles A8 with in + 2% for an unit step input . a) 1.6 b) 1.2 c) 2.1 d) 6.1 Necessary condition for stability is _ A9 a) both (b)&(c) b) all the coefficients of S must be positive c) There is no missing Term d). For bounded input ,the output is unbounded
Q4) An LTI system is characterized by the differential equation below: d² = y(t) + 5 = y(t)+6y(t) = x(t) dt2 dt a) Write the characteristic equation. b) Find the characteristic roots. c) Write the form of the zero-input response. d) Write the final zero-input response if yzı(0)=2 and dyzi(0)/dt=-1. e) Plot the final zero-input response in Matlab/Octave and select the correct graph on the side: f) What are the characteristic modes for this system? 1.5 1 0.5 0 -0.5 1 2 3 4 (1) 0.5 0 -0.5 -1 -1.5 (2) 4 01234 (3) 1.5 0.5 234 (4)
EENG226-Signals and Systems Please solve it very quickly ?? Please if you cant solve it all solve a b c
(Q2) What is the 50% response time of the measurement system with the following differential equation? 04T + T =4U(1) What is the rise time of the system? If the step input with 40 units is used what is the reading of the measurement device after 5 seconds?
Solve 1 & 2 below
For the control system, shown in the following figure, determine the steady-state error for a unit step input in terms of K and K,, where E(s) = R(s) – C(s). Determine the value of K, when steady-state error is zero: E(s) R(s)- C(s) s(s+ 10) (s+ 12)
Based on these state equations. which state can only be reached via initial conditions?
7 For a function with forward path transfer function G(s) = 2438+5 it is desired to design a PI controller with a maximum overshoot %20. Find the required damping ratio and enter it in the space given below. Yanıt: b. Eind the desired natural frequenCK c. Find the rise enter the space given below d. Eind the settling and enter the space given below. e. Using the approximations reguired/ find the appropriate proportional controller coefficient (K) value.
needs asap ans correct answer