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목차
1] Select a dynamic system. The best way to do this is to find a paper on the web. When you
write the final report, include the document or the paper you’ve found.
2] Write the equations of motion of the system.
3] Represent the system in the state space.
4] Determine the performance index (settling time, max. overshoot, etc.).
5] Is the system controllable? Assuming all state variables are measurable, design a state
feedback controller. Design two controllers as follows. See Sections 7.5.1 and 7.6.
a) A controller satisfying the performance specification obtained in Step 4.
b) A controller using the symmetric root locus.
Note that for the case b), the performance can be different from that of a).
6] Is the system observable? Design state estimators for this system. See Section 7.7.
a) Design a full order estimator.
b) Design a full order estimator using the symmetric root locus.
c) Design a reduced order estimator.
7] Combine the state feedback controller and the state estimator. (See Section 7.8) Assuming
that the reference input to the system is nonzero, modify the feedback loop to effectively cope
with nonzero constant reference input. (See Section 7.9) What is the difference between two
designs (with and without the gains multiplied to the reference input)?
8] Repeat 7] by using the integral controller.
9] You have two controllers, three estimators, and two mechanisms to cope with constant
reference. What do you think is the best combination? Explain and discuss in detail.
Note: When doing 9], you may discuss the effect of disturbance (step, ramp, sinusoidal, etc.)
and the parameter uncertainty (about 10%).
write the final report, include the document or the paper you’ve found.
2] Write the equations of motion of the system.
3] Represent the system in the state space.
4] Determine the performance index (settling time, max. overshoot, etc.).
5] Is the system controllable? Assuming all state variables are measurable, design a state
feedback controller. Design two controllers as follows. See Sections 7.5.1 and 7.6.
a) A controller satisfying the performance specification obtained in Step 4.
b) A controller using the symmetric root locus.
Note that for the case b), the performance can be different from that of a).
6] Is the system observable? Design state estimators for this system. See Section 7.7.
a) Design a full order estimator.
b) Design a full order estimator using the symmetric root locus.
c) Design a reduced order estimator.
7] Combine the state feedback controller and the state estimator. (See Section 7.8) Assuming
that the reference input to the system is nonzero, modify the feedback loop to effectively cope
with nonzero constant reference input. (See Section 7.9) What is the difference between two
designs (with and without the gains multiplied to the reference input)?
8] Repeat 7] by using the integral controller.
9] You have two controllers, three estimators, and two mechanisms to cope with constant
reference. What do you think is the best combination? Explain and discuss in detail.
Note: When doing 9], you may discuss the effect of disturbance (step, ramp, sinusoidal, etc.)
and the parameter uncertainty (about 10%).
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