Title
Prioritized optimal control: A hierarchical differential dynamic programming approach
Abstract
This paper deals with the generation of motion for complex dynamical systems (such as humanoid robots) to achieve several concurrent objectives. Hierarchy of tasks and optimal control are two frameworks commonly used to this aim. The first one specifies control objectives as a number of quadratic functions to be minimized under strict priorities. The second one minimizes an arbitrary user-defined function of the future state of the system, thus considering its evolution in time. Our recent work on prioritized optimal control merges the advantages of both these methods. This paper reformulates the original prioritized optimal control algorithm with the precise goal of improving its computational speed. We extend the dynamic programming method to work with a hierarchy of tasks. We compared our approach in simulation with both our previous algorithm and classical optimal control. The measured computational improvement represents another step towards the application of prioritized optimal control for online model predictive control of humanoid robots. We believe that this could be the key to unlock the (so far unexploited) dynamic capabilities of these mechanical systems.
Year
DOI
Venue
2015
10.1109/ICRA.2015.7139697
IEEE International Conference on Robotics and Automation
Keywords
Field
DocType
dynamic programming,hierarchical systems,humanoid robots,optimal control,predictive control,complex dynamical systems,hierarchical differential dynamic programming approach,humanoid robots,model predictive control,prioritized optimal control
Approximation algorithm,Dynamic programming,Mathematical optimization,Optimal control,Differential dynamic programming,Control theory,Computer science,Model predictive control,Control engineering,Dynamical systems theory,Online model,Humanoid robot
Conference
Volume
Issue
ISSN
2015
1
1050-4729
Citations 
PageRank 
References 
2
0.39
11
Authors
4
Name
Order
Citations
PageRank
Francesco Romano1657.19
Andrea Del Prete2768.90
Nicolas Mansard349039.67
Francesco Nori459348.25