Following results over recent years, this thesis enhances the problem of minimizing a
cost functional defined on a state trajectory of an autonomous switched dynamical system.
The cost functional traditionally used, is augmented with explicit costs on the switching
times and the final time is set by a constraint as opposed to being given. An equation for
the gradient of the cost functional is derived and an algorithm is proposed for computing
local minima. The algorithm is based on existing steepest descent methods including the
Armijo procedure and gradient projection. A matlab implementation of the algorithm is
developed in order to solve optimal problems that can be modelled with costs on or between
the switching times. An existing problem, the motivation for this research, where repairs
on a bridge is to be optimized, is provided and solved.
| Identifer | oai:union.ndltd.org:GATECH/oai:smartech.gatech.edu:1853/36538 |
| Date | 10 April 2006 |
| Creators | Isaksson, Johan Henrik |
| Publisher | Georgia Institute of Technology |
| Source Sets | Georgia Tech Electronic Thesis and Dissertation Archive |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
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