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LRFD-PBD-USD - Push Over - P-Delta

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Dear list members,
I have certain confusion with the following terms.
1. Performance based Design
2. Limit State Design
I have an idea about what they mean independently, but I would like to know how they are related, if there is any relation between them, of course.
If I have to design a structure for a certain Limit State ( Serviciability/Damage control/Survival Limit).  Is there any recommendation to select vertical load factors in a LRFD or allowable stresses in a ASD or they are simply related with the level of seismic load.
On the other hand, is Push Over Analysis related with Material Nonlinearity and P-Delta Analysis related with Geometrical Nonlinearity.
Probably they are a kind of stupid questions, but I need some explanation to make clear those concepts.

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