Category:Sensitivity-seeking arcs: Difference between revisions
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We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin < | We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin <bib id="Srinivasan2003" /> as arcs which are neither [[:Category:Bang bang|bang-bang]] nor [[:Category:Path-constrained arcs | path-constrained]] and for which the optimal control can be determined by time derivatives of the Hamiltonian. For control-affine systems this implies so-called ''singular arcs''. | ||
A classical small-sized benchmark problem for a sensitivity-seeking (singular) arc is the [[Lotka Volterra fishing problem]]. The treatment of sensitivity-seeking arcs is very similar to the one of path-constrained arcs. As above, an approximation up to any a priori specified tolerance is possible, probably at the price of frequent switching. | A classical small-sized benchmark problem for a sensitivity-seeking (singular) arc is the [[Lotka Volterra fishing problem]]. The treatment of sensitivity-seeking arcs is very similar to the one of path-constrained arcs. As above, an approximation up to any a priori specified tolerance is possible, probably at the price of frequent switching. | ||
== References == | == References == | ||
< | <biblist /> | ||
[[Category:Solution characterization]] | [[Category:Solution characterization]] | ||
Latest revision as of 10:10, 23 January 2016
We define sensitivity-seeking (also compromise-seeking) arcs in the sense of Srinivasan and Bonvin [Srinivasan2003]Author: Srinivasan, B.; Palanki, S.; Bonvin, D.
Journal: Computers \& Chemical Engineering
Pages: 1--26
Title: Dynamic Optimization of Batch Processes: I. Characterization of the Nominal Solution
Volume: 27
Year: 2003
as arcs which are neither bang-bang nor path-constrained and for which the optimal control can be determined by time derivatives of the Hamiltonian. For control-affine systems this implies so-called singular arcs.
A classical small-sized benchmark problem for a sensitivity-seeking (singular) arc is the Lotka Volterra fishing problem. The treatment of sensitivity-seeking arcs is very similar to the one of path-constrained arcs. As above, an approximation up to any a priori specified tolerance is possible, probably at the price of frequent switching.
References
| [Srinivasan2003] | Srinivasan, B.; Palanki, S.; Bonvin, D. (2003): Dynamic Optimization of Batch Processes: I. Characterization of the Nominal Solution. Computers \& Chemical Engineering, 27, 1--26 | |
Pages in category "Sensitivity-seeking arcs"
The following 23 pages are in this category, out of 23 total.