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Q2. Consider the following block diagram. Derive an expression for V1(s). Vos) 2 Q2. Consider the following block diagram. Derive an expression for V1(s). Vos) 2
1. Starting with one of Newton's laws and your free body diagram, derive an expression for...
1. Starting with one of Newton's laws and your free body
diagram, derive an expression for the normal force exerted on the
block by floor.
- Assess you answer in the following way: If you
let \(\theta\) = 0, what does your
solution predict for the normal force? Does this make physical
sense?
2. Starting with one of Newton's laws and your free body
diagram, derive an expression for the coefficient of kinetic
friction \(\mu_{k}\) between the
block and the...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) -...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
Consider the block diagram of the following control system. Find the transfer function G(s) = Y(S)/R(s)...
Consider the block diagram of the following control system. Find the transfer function G(s) = Y(S)/R(s) by using the block diagram reduction R(5) Y(s) + 5+2 s
xv mg mg Derive the equation of motion of the system. Find an equivalent mass and...
xv mg mg Derive the equation of motion of the system. Find an equivalent mass and force to the systen (7 marks) Q2. Consider the following block diagram. Derive expressions for C(ó) and Ms). R(S)
C(s) R(s) 5 Q2: Reduce the block diagram and find the transfer function: C(s) 3 4
C(s) R(s) 5 Q2: Reduce the block diagram and find the transfer function: C(s) 3 4
Q2. (a)Figure Q2(a) shows the block diagram of a system network. Determine the (7 marks) closed-loop...
Q2. (a)Figure Q2(a) shows the block diagram of a system network. Determine the (7 marks) closed-loop transfer function T(s) C(s)/R(s). Cts) Ris) + Figure Q2(a)
2 5. Consider the situation in the diagram. Block 1 has mass m, and is on...
2 5. Consider the situation in the diagram. Block 1 has mass m, and is on a slope at an angle 0 from horizontal. Block 2 has mass m2. a. Find and expression for the acceleration of the blocks, ignoring friction. b. Could you have guessed this expression? c. If the kinetic friction coefficient for block 1 is uk, how does this change the equation?
2 5. Consider the situation in the diagram. Block 1 has mass mi and is on...
2 5. Consider the situation in the diagram. Block 1 has mass mi and is on a slope at an angle O from horizontal. Block 2 has mass m2. a. Find and expression for the acceleration of the blocks, ignoring friction. b. Could you have guessed this expression? c. If the kinetic friction coefficient for block 1 is UK, how does this change the equation?
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and...
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
1. Starting with one of Newton's laws and your free body
diagram, derive an expression for the normal force exerted on the
block by floor.
- Assess you answer in the following way: If you
let \(\theta\) = 0, what does your
solution predict for the normal force? Does this make physical
sense?
2. Starting with one of Newton's laws and your free body
diagram, derive an expression for the coefficient of kinetic
friction \(\mu_{k}\) between the
block and the...
Q2. Fig Q2 shows the block diagram of an unstable system with transfer function G(s) - under the control of a lead compensator (a) Using the Routh's stability criterion, determine the conditions on k and a so that the closed-loop system is stable, and sketch the region on the (k, a)- plane where the conditions are satisfied. Hence, determine the minimum value of k for the lead compensator to be a feasible stabilizing controller. (10 marks) (b) Suppose α-2. Given...
Consider the block diagram of the following control system. Find the transfer function G(s) = Y(S)/R(s) by using the block diagram reduction R(5) Y(s) + 5+2 s
xv mg mg Derive the equation of motion of the system. Find an equivalent mass and force to the systen (7 marks) Q2. Consider the following block diagram. Derive expressions for C(ó) and Ms). R(S)
C(s) R(s) 5 Q2: Reduce the block diagram and find the transfer function: C(s) 3 4
Q2. (a)Figure Q2(a) shows the block diagram of a system network. Determine the (7 marks) closed-loop transfer function T(s) C(s)/R(s). Cts) Ris) + Figure Q2(a)
2 5. Consider the situation in the diagram. Block 1 has mass m, and is on a slope at an angle 0 from horizontal. Block 2 has mass m2. a. Find and expression for the acceleration of the blocks, ignoring friction. b. Could you have guessed this expression? c. If the kinetic friction coefficient for block 1 is uk, how does this change the equation?
2 5. Consider the situation in the diagram. Block 1 has mass mi and is on a slope at an angle O from horizontal. Block 2 has mass m2. a. Find and expression for the acceleration of the blocks, ignoring friction. b. Could you have guessed this expression? c. If the kinetic friction coefficient for block 1 is UK, how does this change the equation?
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
03. (a) Consider the block diagram shown in Figure 3.1, and assume G(s)= 3. G,(s) and G,(s) 5+2 Y(s) R(S) G,() Gy(s) G;(s) Figure 3.1 3 (0) Y(s) Derive the system transfer function H(s)= of the system. Plot the R(s) poles and zeros of H(s) in the complex s-plane. State whether the system is stable or not stable, and why. [10 marks) (11) Obtain the impulse response of the system, that is ylt) for r(t)= 8(t). Evaluate the final value...
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