HW CE_6

# HW CE_6 - The selection of N can be done independently of...

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HW/CE# 6 Due Friday, April 23 The state space description of a certain system is as follows: [ ] 0 0 1 0 2 1 188 . 4 2 876 . 2 = - = = - - = J H G F 1. Find the eigenvalues for F. 2. What are ζ and ω n ? 3. Find Mp, t s , and t r for a step input to the system above. 4. Find K = [K 1 K 2 ] using full-state feedback so that we have: M p < 5% and t s < 1 sec 5. Find = 2 1 l l L for a full-order estimator such that the estimator error poles are at –25 + j25. 6. Verify your hand calculations above for both K and L on MATLAB by using MATLAB’s Ackermann’s formula, i.e., the “acker” function. 7. Find N such that steady state error for a step input is zero. See figure 7.15b on page 482, or with the estimator, figure 7.49b on page 527.
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Unformatted text preview: The selection of N can be done independently of the estimator design if we do it this way. So, equations 7.100, and 7.101a,b apply. (These equations are also given in the reference sheet set.) 8. Use MATLAB to verify your design for a step input r(t) = 1.0 u(t) using the complete state space model including the state feedback, estimator, and reference input. You may do this by setting up a 4 th order system as we demonstrated in class or (for 20 bonus points) using MATLABs Simulink feature. If you opt for a Simulink verification, be sure to submit your block diagram (MATLAB printout)....
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## This note was uploaded on 09/27/2010 for the course EE 360K taught by Professor Brown during the Spring '10 term at UT Arlington.

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