bv_cvxbook_extra_exercises

# We have lower and upper limits on the speeds smin s

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Unformatted text preview: (in terms of the objective) for the inequality to be tight. You can ﬁx this in (at least) two ways. One is to go back and adjust certain variables, without aﬀecting the objective and maintaining feasibility, so that the relaxed constraints hold with equality. Another simple method is to add to the objective a term of the form T ǫ t=1 max{0, −Pmg (t)}, where ǫ is small and positive. This makes it more attractive to use the brakes to extract power from the wheels, even when the battery is (or will be) full (which removes any fuel incentive). Find the optimal fuel consumption, and compare to the fuel consumption with a non-hybrid version of the same vehicle (i.e., one without a battery). Plot the braking power, engine power, motor/generator power, and battery energy versus time. max How would you use optimal dual variables for this problem to ﬁnd ∂Ftotal /∂Ebatt , i.e., the partial derivative of optimal fuel consumption with respect to battery capacity? (You can just assume that this partial derivative exists.) You do not have to give a long d...
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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 Berkeley.

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