Title
Stable Gaussian Process Based Tracking Control Of Lagrangian Systems
Abstract
High performance tracking control can only be achieved if a good model of the dynamics is available. However, such a model is often difficult to obtain from first order physics only. In this paper, we develop a data-driven control law that ensures closed loop stability of Lagrangian systems. For this purpose, we use Gaussian Process regression for the feed-forward compensation of the unknown dynamics of the system. The gains of the feedback part are adapted based on the uncertainty of the learned model. Thus, the feedback gains are kept low as long as the learned model describes the true system sufficiently precisely. We show how to select a suitable gain adaption law that incorporates the uncertainty of the model to guarantee a globally bounded tracking error. A simulation with a robot manipulator demonstrates the efficacy of the proposed control law.
Year
DOI
Venue
2018
10.1109/CDC.2017.8264427
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC)
DocType
Volume
ISSN
Journal
abs/1811.07711
0743-1546
Citations 
PageRank 
References 
1
0.36
5
Authors
4
Name
Order
Citations
PageRank
Thomas Beckers13511.16
Jonas Umlauft245.14
Dana Kulic381069.21
Sandra Hirche4961106.36