6. General formulation of an optimization problem. Calculation of variations
It means finding a permissible control that forces the system to follow a permissible trajectory that optimizes the performance index J.
In view of its close connection with mechanics, we're going to deal with the problem of optimization by calculating variations.
To do this, we'll need a number of results, not all of which we'll be able to establish.
Static optimization theory uses function theory: this is the classic theory of extremums.
The calculus of variations, which enables us to minimize (or maximize) J where an integral appears, uses the theory of functionals.
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
The Ultimate Scientific and Technical Reference
This article is included in
Physics and chemistry
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
General formulation of an optimization problem. Calculation of variations