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Regularized Hierarchical Differential Dynamic Programming

delete2017-08-01
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OA
AI
M
Mathieu Geisert *
A
Andrea Del Prete
N
Nicolas Mansard
F
Francesco Romanò
F
Francesco Nori
DOI:10.1109/TRO.2017.2671355delete
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Abstract

Abstract

En 中文
This paper presents a new algorithm for optimal control (OC) of nonlinear dynamical systems. The main feature of this algorithm is that it allows the specification of the control objectives as a hierarchy of tasks, each task representing an action that the robot should perform. Each task is described by a cost function that the algorithm tries to minimize, while not affecting the tasks of higher priority. The concept of strict priority allows for an easier and more robust specification of the control objectives, without hand tuning of task weights. The hierarchy also makes it possible to properly regularize the behavior of each task independently. For the first time, we properly define the problem of regularizing the task cost functions in the presence of a hierarchy and propose an algorithm to compute an approximate solution. Several simulated scenarios with different robots compare our solution with other state-of-the-art methods, validating the interest of the hierarchy in OC and empirically demonstrating the importance of regularization to generate feasible behaviors.
Keywords:
Hierarchy of tasks
optimal control (OC)
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Journal

IEEE Transactions on Robotics cover
IEEE Transactions on Robotics
IF:
10.5
Papers:
3.3K
Citations:
2.8W

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
U
universite de toulouse
Scholars:
3.5W
Papers: 2.7W
Citations: 37