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On Optimal Control of Non-Autonomous Switched Systems with a Fixed Mode SequenceWe consider differentiability with respect to the switch times of the value function of an optimal control problem for a non-autonomous switched system. The control variables are the switch times between the modes and the input in each mode. We provide a method to compute the derivative of the cost function given a nominal input. Then, we view the optimal control problem as a parametrized optimization problem in which the switch times are the parameters and the optimization is over the set of feasible inputs of each mode. From this point of view, we provide conditions under which the continuity and differentiability of the optimal value function, that is the cost function optimized over the inputs, can be guaranteed.
Document ID
20130005730
Acquisition Source
Ames Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Kamgarpour, Maryam
(California Univ. Berkeley, CA, United States)
Tomlin, Claire
(California Univ. Berkeley, CA, United States)
Date Acquired
August 27, 2013
Publication Date
January 1, 2012
Publication Information
Publication: Automatica
Volume: 48
Issue: 6
Subject Category
Mechanical Engineering
Funding Number(s)
CONTRACT_GRANT: NNA06CN24A
CONTRACT_GRANT: FA9550-06-1-0312
Distribution Limits
Public
Copyright
Other

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