Transition-time optimization for switched-mode dynamical systems
M Egerstedt, Y Wardi, H Axelsson - IEEE Transactions on …, 2006 - ieeexplore.ieee.org
M Egerstedt, Y Wardi, H Axelsson
IEEE Transactions on Automatic Control, 2006•ieeexplore.ieee.orgThis note considers the problem of determining optimal switching times at which mode
transitions should occur in multimodal, hybrid systems. It derives a simple formula for the
gradient of the cost functional with respect to the switching times, and uses it in a gradient-
descent algorithm. Much of the analysis is carried out in the setting of optimization problems
involving fixed switching-mode sequences, but a possible extension is pointed out for the
case where the switching-mode sequence is a part of the variable. Numerical examples …
transitions should occur in multimodal, hybrid systems. It derives a simple formula for the
gradient of the cost functional with respect to the switching times, and uses it in a gradient-
descent algorithm. Much of the analysis is carried out in the setting of optimization problems
involving fixed switching-mode sequences, but a possible extension is pointed out for the
case where the switching-mode sequence is a part of the variable. Numerical examples …
This note considers the problem of determining optimal switching times at which mode transitions should occur in multimodal, hybrid systems. It derives a simple formula for the gradient of the cost functional with respect to the switching times, and uses it in a gradient-descent algorithm. Much of the analysis is carried out in the setting of optimization problems involving fixed switching-mode sequences, but a possible extension is pointed out for the case where the switching-mode sequence is a part of the variable. Numerical examples testify to the viability of the proposed approach.
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