A decomposition of time scales for iterative computation of time-optimal controls |
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| Authors: | S H Javid P V Kokotovic |
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| Institution: | (1) Coordinated Science Laboratory and Department of Electrical Engineering, University of Illinois, Urbana, Illinois |
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| Abstract: | An iterative procedure, exploiting the multiple time scale properties of systems with slow and fast modes, is presented. This procedure solves the time-optimal problem for higher-order systems iteratively via the solutions of simple second-order problems. Computational complexity is so reduced that fourth-order problems can be solved using a microprocessor or programmable calculator.This work was supported in part by the Joint Services Electronics Program (US Army, US Navy, and US Air Force) under Contract No. DAAB-07-72-C-0259, in part by the US Air Force under Grant No. AFOSR-73-2570, and in part by the National Science Foundation under Grant No. ENG 74-20091. |
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| Keywords: | Time-optimal control singularly perturbed systems iterative methods time scale decomposition |
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