Nonlinear program after discretizing the control problem

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Reference no: EM132286837

An elevator has a vertical acceleration ??(??) at time ??. Passengers would like to move from the ground level at zero altitude to the sixteenth floor at altitude 50 as fast as possible but dislike fast acceleration. Suppose that the passenger’s time is valued at $?? per unit time. Further, suppose that the passenger is willing to pay at a rate of $????2(??) per unit time to avoid fast acceleration. Formulate the problem of determining the acceleration from the time the elevator starts ascending until it reaches the sixteenth floor as an optimal control problem. Formulate the problem as a nonlinear program after discretizing the control problem.

Reference no: EM132286837

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