Mechatronic Systems Engineering 3301A/B Lecture 16: Penalty Functions
12 Aug 2020
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The trade-off surface identifies all efficient solutions, but we want a single solution. A way we can approach this is to aggregate the various objectives into a single objective function, formulated such that its minimum defines the most preferable solution. All objectives must be expressed as quantities to be minimized measure the increment in penalty for a unit increment in a given performance metric, all others being held constant. To do this we define a penalty function. The best choice is the material with the smallest value of. Exchange constants ( ): convert the units of performance metrics into the units of , which. For example, if the metric p2 is mass , then 2 is the change in associated with a unit increase in. Frequently one of the objectives to be minimized is cost, , so that p1 =c. Then it makes sense to measure in units of currency.
