Homework 1

2. Consider the circuit is shown in the figure below. The circuit comprises a voltage supply, v(t), resistor (R), inductor (L) and capacitor (C). Let x1=i and x2= v. be the state variables for this system, where i and v.are the circuit current and capacitor voltage, respectively. For this system, a) Derive the loop equation, involving integro-differential equations, from first principles Write the state differential equations b) c) Write the state-space equation in matrix-vector form d) Sketch the signal-flow graph. Show all your work. R

what is the definition of overshoot and step response? ( theory and graph) I want the answer without Plagiarism.

4. Which among the following systems are described by linear differential equations? a) Causal Systems and Dynamic systems b) Linear systems c) Distributed parameter systems and Dynamic systems d) Causal systems and non linear systems

Figure Q1 shows a feedback control system with K is the controller for the system. (a) Determine the range of K to keep the system stable. (b) Plot the output response of the system for 3 different values of K to observe the transient and steady state of the system. (c) Write your own conclusion from answer Q1(b).

Kelvin body. Please draw two cycles and what is happening at each step. thank you!

In the figure, the steady state error is required to be 1% for the ramp entry r (t) = 0.1 h (t) input to the system. a) Determine the type (N) number and K(OL) value of the open loop system. b) Given the input and the desired maximum steady state error, what would be the smallest value of K? c) What should Td be chosen in order to keep the system stable according to the selected K value?

Q3: A control system has a closed loop T.F. with unity feedback as??(??) =Y(s) U(s)=K(s + 3)s(s + 2) + K(s + 3)draw the R.L. and design the system to have a damping ratio of 0.866, then find the location of roots.

: A discrete time linear system has the responses y,[n]. yz[n] and yz[n] as a result of the applied inputs x, [n], x2[n] and x3[n], respectively. Structures of the mentioned inputs and responses are given in the following figures. Find the response of this system when the input x[n] is applied as an input by utilizing the given figures. X1[n] Y1[n] t. 2 X2[n] Y2[n] X3[n] Y3[n] ILL. T.T.T: X[n]

Q3: A unity feedback control system has the forward trans fer function as shown in figure below. The input r (t) = 5+ t is applied to the system. Find the steady - state errors R(s) E(s) 100(s + 2)(s + 6) C(s) s(s + 3)(s +4) Solution: The system is type 1 k,-infinity , es =0 k, = 100 , ess =1/100 =0.01 , total e s =0.01

Please solve asap.

Please answer and show complete solutions. Please ignore the part where we will simulate through mathlab. This is under feedback and control system

UIU ranster function of the system. 3. Consider the following feedback system: r(t) K 1 y(t) g3 + s2 + 2s+1 (a) Find the entire range of K so that the closed-loop system (i.e., between r(t) and y(t)) is stable. (b) If the step reference input r(t) is given to the system, will y(t) perfectly track the step reference r(t) with zero steady-state error? Why or Why not? Justify your answer. 4. You are asked to design a 2nd order stable system having the following property: (1) its step response has overshoot less than or equal to 10% of the input magnitude and (2) the 2% settling time of the step response is less than or equal to 1 second. What are the locations of the poles of such a system? 1

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)

Subject: Control System

Discuss the concept of unit-step, impulse and sinusoidal response and provide at least one example or application. ( I want theory without Plagiarism  )

Q3: A plant has a nominal model given by G(s) = 1 S(S+1)(1+2s) assume that this plant is to be controlled in a feedback loop with =1 controller, i.e., C(s) 1+4s , use theNyquist criteria to check the system stability. S

Explore the challenges and advancements in modeling nonlinear and time-varying systems, and their significance in real-world applications.

Q5 Needed to be solved this multiple choice question correctly in the order to get positive feedback Hundred percent efficiency needed please Please provide hundred percent correct Answer

Subject: Control Systems

Q4: For the system shown in figure (4) with derivative feedback. Determine the value of (A and K) when the value of damping ratio (=0.7) and steady state error for step input (e=0.02). C(s) R(s) +, + 8 A s? + 2s +3 Figure (4) Ks

A discrete time linear system has the responses y,[n], yz[n] and y3[n] as a result of the #2 applied inputs x, [n], x2[n] and x3[n], respectively. Structures of the mentioned inputs and responses are given in the following figures. Find the response of this system when the input x[n] is applied as an input by utilizing the given figures. x1[n] Y1[n] -1 2 3 X2[n] 2 Y2[n] X3[n] Y3[n] X[n]

2

answer within 10 minutes please, thank you

What are static error coefficients? how will you calculate the steady state error using static error coefficients? (Write equations also, about kp, Kv, Ka)   subject: control system

Please help me, I want to solve this question without quoting or plagiarism, I hope that the solution is in Ms word and not in handwriting.

This is a part of a review I'm studying, NOT a graded assignment, please do not reject. Thank you!