Radey, Kendrick (1962) A time-optimal control problem in dynamics with sampled data. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-12092005-132505
A two-degree-of-freedom dynamical system has been analyzed to determine an optimum control sequence which will drive the dynamical system from an arbitrary initial position and velocity to one of a prescribed set of terminal position and velocity's in minimum time. The basic complexities are:
(1) that the forcing function can change only at discrete intervals of time, and
(2) that the prescribed terminal states allow a multiplicity of solutions to prevail.
A novel but not unique force program which is dependent upon the initial state of the system has been determined. This program consists essentially of the continuous application of a force of the proper sense and maximum allowable amplitude followed by a time during which no force is applied. This is followed by a time interval in which the forcing function has a maximum amplitude but is of the opposite sign to that used in the first part of the program.
|Item Type:||Thesis (Engineer's thesis)|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1962|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||12 Dec 2005|
|Last Modified:||26 Dec 2012 03:12|
- Final Version
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