In this work certain kinds of distributed parameter optimal control problem are considered, governed by non-linear partial differential equations of parabolic and hyperbolic type. Conditions necessary for optimality are developed. These are used to derive a range of numerical algorithms for solution of the control problem. Also described is an algorithm searching directly on the performance index, without requiring satisfaction of the necessary conditions. Five system examples exhibiting a wide range of distributed parameter system features are analysed using the different numerical methods and results are compared. A general discussion of the main characteristics' of the algorithms is given.
Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:459471 |
Date | January 1972 |
Creators | Holliday, John H. |
Publisher | Loughborough University |
Source Sets | Ethos UK |
Detected Language | English |
Type | Electronic Thesis or Dissertation |
Source | https://dspace.lboro.ac.uk/2134/13874 |
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