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Unformatted text preview: nt. Explain how to ﬁnd the thrust proﬁle that minimizes the touchdown time, i.e., K , with h ﬁxed and given. Your method can involve solving several convex
(c) Carry out the methods described in parts (a) and (b) above on the problem instance with data
given in spacecraft_landing_data.m. Report the optimal total fuel consumption for part (a),
and the minimum touchdown time for part (b). The data ﬁle also contains (commented out)
code that plots your results. Use the code to plot the spacecraft trajectory and thrust proﬁles
you obtained for parts (a) and (b).
14.9 Feedback gain optimization. A system (such as an industrial plant) is characterized by y = Gu + v ,
where y ∈ Rn is the output, u ∈ Rn is the input, and v ∈ Rn is a disturbance signal. The matrix
G ∈ Rn×n , which is known, is called the system input-output matrix. The input signal u is found
using a linear feedback (control) policy: u = F y , where F ∈ Rn×n is the feedback (gain) matrix,
which is what we need to determine. From the equations given ab...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.
- Fall '13
- The Aeneid