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For the mass-spring-damper system given below (consider x3 as the output), (i) Structure a mathematical model consisting of a system of equations (ii) Evaluate the state space representation
Problem 3
3. Consider the input-output representation of the system given below. Find a state-space representation that is equivalent to this input-output representation.
Problem 2 - A modified mass-spring-damper system: Model the modified mass-spring-damper system shown below. The mass of the handle is negligi- ble (only 1 FBD is necessary). Consider the displacement (t) to be the input to the system and the cart displacement az(t) to be the output. You may assume negligible drag. MwSpring-Damper System M0 Problem 3 Repeat problem 2, but with the following differences: • Assume the mass of the handle m, is not equal to zero. You may...
answer 3 and 4 please
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m 1,b 2,k 2. 3. a. Write down the transfer function of the system b. Choose a sample time for the system c. Find the pulse transfer function (use MATLAB 'c2d' command) d. Find the range of K for stability for the closed-loop sampled-data system 4. Consider a series RLC circuit driven by a voltage source with capacitor voltage as output....
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m-1,b 2, k- 2. a. Write down the transfer function of the system b. Sketch a root locus for static controller gain K c. Find the range of K for stability
Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m-1,b 2, k- 2. a. Write down the transfer function of the system b. Sketch a root locus for static controller...
5. Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m 1,b 2, k 2 a. Design a rate feedback controller to meet the following step response specifictions: ts 1 s, ζ 206. b. Compare the step response of the closed-loop systems in Probs. 3&5
5. Consider the model of a spring-mass-damper system, where the following parameter values are assumed: m 1,b 2, k 2 a. Design a rate feedback controller to meet the following...
Consider the mass-spring-damper system depicted in the figure below, where the input of the system is the applied force F(t) and the output of the system is xít) that is the displacement of the mass according to the coordinate system defined in that figure. Assume that force F(t) is applied for t> 0 and the system is in static equilibrium before t=0 and z(t) is measured from the static equilibrium. b m F Also, the mass of the block, the...
answer 3 and 4 please
3. Consider the model of a spring-mass damper system, where the following parameter values are assumed: m 1,b 2,k2. a. Sketch a root locus for static controller gain K b. Design a controller to meet the following specifictions: ts ls,〈206, e(oo)|step = 0. 4. Consider a system where the transfer function is given as: G(s) =M63. s3 +6s2 +11s+6 a. Sketch a root locus for static controller gain K b. Design a controller to meet...
4. The two mass spring damper system below can be represented by the two differential equations TIR1 Since the system is represented by two second-order differential equations, find a fourth-order state- space representation, that is y=Cz + Du where A e R1x4, BE Rx, CERix4, and D Rx1. Use the state vector Hint: first, solve the first equation for , then replace by 21, by z2, and r2 by z3 as defined by matrix-vector form.
Write a state-space representation for the system in the figure below. Assume that the system's output isvo(t).
For the car suspension system shown below create the state-space
representation equations. Plot the position of the car and the
wheel after the car hits a “unit bump” (i.e., r is a unit step)
using MATLAB. Use MATLAB commands and also use MATLAB Simulink to
show state space block. Assume that m1=10kg, m2=250kg,
KW=500,000N/m, KS=10,000N/m. Find the value of b that you would
prefer if you were a passenger in the car. Show the simulation
results.
MATLAB. Use MATLAB commands...