On Some Optimal Control Problems for Electric Circuits
Please always quote using this URN:urn:nbn:de:0296-matheon-9592
- Some optimal control problems for linear and nonlinear ordinary differential equations related to the optimal switching between different magnetic fields are considered. The main aim is to move an electrical initial current by a controllable voltage in shortest time to a desired terminal current and to hold it afterwards. Necessary optimality conditions are derived by Pontryagin's principle and a Lagrange technique. In the case of a linear system, the principal structure of time-optimal controls is discussed. The associated optimality systems are solved by a one-shot strategy using a multigrid software package. Various numerical examples are discussed.
Author: | Kristof Altmann, Simon Stingelin, Fredi Tröltzsch |
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URN: | urn:nbn:de:0296-matheon-9592 |
Referee: | Dietmar Hömberg |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2012/01/06 |
Release Date: | 2012/01/06 |
Tag: | |
Institute: | Technische Universität Berlin |
MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Mxx Numerical methods [See also 90Cxx, 65Kxx] / 49M05 Methods based on necessary conditions |
Preprint Number: | 843 |