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conference paper

A numerical method for the optimal control of switched systems

Gonzalez, Humberto
•
Vasudevan, Ram
•
Kamgarpour, Maryam  
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December 2010
49th IEEE Conference on Decision and Control (CDC)
2010 49th IEEE Conference on Decision and Control (CDC)

Switched dynamical systems have shown great utility in modeling a variety of systems. Unfortunately, the determination of a numerical solution for the optimal control of such systems has proven difficult, since it demands optimal mode scheduling. Recently, we constructed an optimization algorithm to calculate a numerical solution to the problem subject to a running and final cost. In this paper, we modify our original approach in three ways to make our algorithm's application more tenable. First, we transform our algorithm to allow it to begin at an infeasible point and still converge to a lower cost feasible point. Second, we incorporate multiple objectives into our cost function, which makes the development of an optimal control in the presence of multiple goals viable. Finally, we extend our approach to penalize the number of hybrid jumps. We also detail the utility of these extensions to our original approach by considering two examples.

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Type
conference paper
DOI
10.1109/CDC.2010.5717469
Author(s)
Gonzalez, Humberto
Vasudevan, Ram
Kamgarpour, Maryam  
Sastry, S. Shankar
Bajcsy, Ruzena
Tomlin, Claire
Date Issued

2010-12

Publisher

IEEE

Publisher place

Atlanta, GA, USA

Published in
49th IEEE Conference on Decision and Control (CDC)
ISBN of the book

978-1-4244-7745-6

Start page

7519

End page

7526

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
SYCAMORE  
Event nameEvent placeEvent date
2010 49th IEEE Conference on Decision and Control (CDC)

Atlanta, GA, USA

2010-12

Available on Infoscience
December 1, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/183407
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