Exercise: 1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If it is unstable, state the number of poles in the RHP, LHP and on the jwaxis R(s)_t 1 +Y(s) s(2s* + 3s° + 25 + 3s + 2)
Q: system has the characteristic equation s+105³ +32s² + 37s + 20 = 0. Using the Routh- Hurwitz…
A:
Q: Consider the following rotational geartrain system where T(t) is the applied (npun torque. 8, (t) D…
A:
Q: We can model the suspension system of a car's body above a wheel by a mass-spring-dashpot system,…
A: md2xdt2+bdxdt+kx=bdydt+kyy=Acos(ωt) Input is y(t) Output is x(t)
Q: For a similar PD controlled positioning system given in the previous problem, where Gc(s) = K(s + 4)…
A: Given:Gc(s)=K(s+4)Gp(s)=1s(s+2)(s2+10s+41)Now, if,…
Q: 1-What are static error coefficients? how will you calculate the steady state error using static…
A: In this question ,we will write static error coefficients...And steady stater error formula…
Q: The mechanical structure of a system is given as shown together with the given parameters. Mshows…
A:
Q: Problem 9. For a similar PD controlled positioning system given in the previous problem, where Gc(s)…
A: Given:Gc(s)=K(s+4)Gp(s)=1s(s+2)(s2+10s+41)Now, if,…
Q: • Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…
A:
Q: The characteristic equation of a control system is represented by: s* + 2s3 + 3s2 + 4s + K = 0 Use…
A: The given characteristic equation is
Q: (a) A rotational mechanical system is shown in Fig. 3. Given the inertia value, J, is 1kgm2, the…
A:
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,…
Q: 1. A system is described by the equations of motion i = -u, ý = x, where u being a control signal…
A: Given: x˙=-uy˙=xWe have;C=∫01-x2+u2·dt =∫01-x2+x˙2·dt .....given x˙=-u ∴By Hamiltaon's…
Q: For the system shown take the output to be the displacement x1. Find the response of the system to a…
A:
Q: K1 B M1 M2 f(t) The mechanical structure of a system is given as shown together with the given…
A: method to write the equations of motion for the complex mechanical system:- the total number of…
Q: Q1:-Use the Routh-Hurwitz criterion to find the range of K for which the system of figure below is…
A:
Q: G(s)= K / S^2+ 8S + 641 A) Calculate steady state error for this system? B) Design a controller to…
A: Gs=ks2+8s+641
Q: Suppose that the characteristic equation for a closed-loop discrete time system is given by the…
A: We need to find the stability by using the Routh Hurwitz criteria.
Q: Q-21 [4 Marks] A ball is thrown from the ground and after t second is at a distance meter from the…
A: Given data S=at-bt2 The velocity is given by V=dSdt=d(dtat-bt2) Further solving V=a-2bt Substitute…
Q: Compare between theoretical steady - state error's results and the practical steady- state error's…
A: The block diagram for a single-loop, unity-feedback system is shown below. The reference input R(s)…
Q: Problem 4. CE1.1a: A mechanical system is represented by the three degree-of-freedom linear…
A: The free-body diagram for masses 1,2 and 3 drawn below, The differential equation for mass 1 is,…
Q: Calculate the steady-state errors of the control system shown in the following Fig., if the input…
A: The given control system is shown below:
Q: Example problem K-map: F (A,B,C,D,E) Em (0,1,2,3,8,9,10,11,16,17,18,19,24,25,26,27) A=0 A=1 DE DE BC…
A: In this question, Simply the given minterm using the K map.
Q: Which of the following information is correct about the type of control system given, position and…
A: Given Open loop transfer function is Feed back transfer function is Type of the system obtained…
Q: Controller Vehicle dynamics R(s) Desired K G(s)= Ts + 1 Y(s) Actual G(s) heading angle heading angle…
A: First we will find overall open loop transfer function. We will put s=0 in error signal to get…
Q: Q3: Consider the closed-loop system given by C(s) s2 +23wns+ w %3D R(s) The damping ratio of the…
A: The solution can be achieved as follows.
Q: 1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If…
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: 5.) Sketch the positive root locus for the system shown below. Determine the required value of K so…
A: Given the block diagram: We need to sketch the root locus for the system. We need to determine the…
Q: 1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If…
A: Given
Q: 1. (15 points) Find a minimum product of sums solution for f (A, В, С, D, E) - Z m (2, 4, 5, 6, 7,…
A:
Q: b. If the temperature inside a class room is given by the function T = x? cos(9y) - z? °C, determine…
A:
Q: 1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If…
A: According to question: Applying Routh-Hurwitz criterion to the given control system, this will give…
Q: Consider the mechanical system shown below which is composed of a mass m = 4 kg, a spring of…
A: Given mechanical system shown below m=4 kgk=400 N/mc=48 Ns/mU(0)=0.06mU'(0)=0
Q: Q4 (a) The characteristic equation of a control system is represented by: s* + 2s3 + 3s2 + 4s + K =…
A:
Q: W(s) R(s) U(s) Y(s) Da (s) Gpl (s) H(s) Problem 2 Given a system as in the diagram above, where K is…
A: The solution is given below
Q: 1- Explain the properties of the following controllers: P, PI, PID.
A: The properties have been explained in the following steps.
Q: 1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If…
A: The closed loop transfer function of the given system is:
Q: Compare between theoretical steady - state error's results and the practical steady- state error's…
A: Notation used OLTF- Open loop transfer function. CLTF- Closed loop transfer function. Kp -…
Q: : The Nyquist diagram for a control system as shown in Fig. 1. Im i-Find the system type ii-Describe…
A: Stability Criteria for Nyquist Plot N=P-Z N= Number of encirclement which closes (-1,0) Point…
Q: Q2 (C): Find the position, velocity, and acceleration error constants for the system given s+ 1 5…
A:
Q: Design the controller Gc(s) such that the closed-loop system has a pair of complex poles at s, =-4+…
A:
Q: For the system in Fig. determine the Nyquist plot and apply the Nyquist criterion (a) to determine…
A: The given system is shown below, Where, G(s) = K3s(s+1)(s+3)
Q: Consider the discrete system: d sidllo ald dellotno 1 X; (k +1) [x2(k+1)] X1 (k)] u(k) %3D 1 1 X2…
A: In this question , a shame is given..We have to find out that is it controllable and observable or…
Q: In the Design of (Pl-controller) by using Root Locus Method to have closed response with Time…
A: Characteristic equations is to be formed when a differential or a difference equations is Homogenous…
Q: Express the sequences shown in Fig. In terms of unit step functions. ... Consider a discreto-time…
A:
Q: 7.3. Consider the system (--) 3. H[z] 64 27 a) Draw the pole-zero diagram for H[z] and identify all…
A: ROC is the region of convergence, basically decided for every Z- transform. The ROC basically tells…
Q: (а) The closed loop transfer function (T(s)) of an armature control system is given below. 2s2 + 2s…
A: By Routh Hurwitz criteria we will find out location of poles then we will decide whether the given…
Q: Figure 4 shows a position-control system for motion control system. Suppose that, fo constant input,…
A: In this question, T= 0 and Q= 2 Steady state error less then 2%. Find the position error…
Q: Problem 4: Find the condition of Kpand Kp such that the system is stable. Plot the stability region…
A: We need to determine the relationship between KP and KD such that the given system is stable where…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- For Routh Stability Criterion, Answer the following questions: 1. If the sign of the coefficient above the zero is the same as that below it? I. There is a pair of imaginary roots II. There is one sign change. III. There are roots of equal magnitude lying radially opposite in the S-Plane. IV. There is a root or roots that are imaginary or that have positive real parts. 2. If the sign of the coefficient above the zero is opposite of that below it? I. There is a pair of imaginary roots. II. There is one sign change. III. There is one sign change. IV. There is a root or roots that are imaginary or that have positive real parts.Determine the range of stability using the Routh criterion for the system below? (9+ ) (+ sjs3. The discrete-sme syiem shown in Figure 2 consists of twount-delay elementi and scalar mutiplers. Wite a diftororce equation trat relatos the sutpur ya) and he input ajk]. D D Figure 2.
- 1- Please, Derive Equation of Motion for the 2DOF system with Harmonic force due to the Shaker in the Magnetostrictive Energy Harvesting. Note: I want EOM in Matrices form to get Natural frequencies and mode shapes + Steady-State Response of Spring-Mass SystemFor Routh Stability Criterion, Answer the following questions: 1. If any of the coefficients is zero or negative in the presence of at least one positive coefficient. I. There is a pair of imaginary roots. II. There is one sign change. III. There are roots of equal magnitude lying radially opposite in the S-Plane. IV. There is a root or roots that are imaginary or that have positive real parts. 2. If all coefficients in any derived row are zero. I. There is a pair of imaginary roots. II. There is one sign change. III. There are roots of equal magnitude lying radially opposite in the S-Plane. IV. There is a root or roots that are imaginary or that have positive real parts.(A): Use the Routh-Hurwitz criterion to find the range of (k) for which the system in figure (1) is stable. backsystem, where olowing upuis: 2Juu, 1712u(t) Q2: Awer only Twe Dleel u SIOV in fi GrAP SFG). Reduce the block diagram si nin ure D/S). 519 For TAYA SVStem in * es o wn), percem OVCISIOO 700D settn. g time ( -- MAN R(s) Y(s) 1 1 K s+0.4 2+1.7s+0.25 G1(s) G2(s) G3(s) Figure (1) 0.1 s+0.1 H(s)
- 2. If 0 appears in the first column of a nonzero row in Routh array, replace it with a) Small negative number c) Large positive number b) Small positive number d) Large negative number 3. Number of sign changes in the entries in Ist column of Routh array denotes the no. of a) Roots of characteristic polynomial in RHP. b) Zeroes of system in RHP. c) Open loop poles in RHP. d) Open loop zeroes in RHP. 4. The necessary condition for the stability of the linear system is that all the coefficients of characteristic equation 1+G(s)H(s) =0, be real and have the : a) Positive sign c) Same sign b) Negative sign d) Both positive and negative 5. The characteristic equation of a system is given as s'+25s²+10s+50-0. What is the number of the roots in the right half s-plane and the imaginary axis respectively? b) 0,0 a) 1,1 c) 2,1 d) 1,2Refer here for the specifications of the D400. a) What power output should you be able to supply from the 24V D400 at 15.4 m/s? b) If the wind drops to 2 m/s, what will the output power be? c) According to the performance graph what is the maximum power you can obtain from the 24V D400? There is a possibility of installing the turbine on top of a 20m high mast instead. Assuming that Zo=0.012, what would you expect the wind speed to be at that height? Use wind shear formula and assume Vref = 7.5 m/s at a height of Zref =10 m.Given the following unit step response of a second order system, calculate the following values: 1. [ Amplitude 2.1. 3. 32 3 28 28 24 22 2 1.8 1.0 1.4 1.2 1 08 06 04 02 8 Step Response Time (seconds) 10 12 14 the rise time in seconds Tr 15 ] the overshoot in %. Mp. ..] the peak time in seconds Tp.
- 11) In a reversible adiabatic process the ratio (T2/T1 ) is equal to (P2/P1 )^((y-1)/y) ) TRUE FALSEDiscuss the pressure response in figure I after using the PID controller in tems of the Rise Time, Steady State Error, Settling Time, and Overshoot. Pressure vs Time Setpoint Actual 1532 26 15:1241 15:256 Time ARKR ES (ed)The Routh-Hurwitz criterion is a necessary and sufficient criterion for determining the stability of nonlinear systems. True or False