Title
Duality-Based Nonlinear Quadratic Control: Application to Mobile Robot Trajectory-Following
Abstract
This paper presents noniterative linearization-based controllers for nonlinear unconstrained systems, coined as extended Rauch-Tung-Striebel (ERTS) and unscented Rauch-Tung-Striebel (URTS) controllers, derived from the duality between optimal control and estimation. The proposed controllers use a Rauch-Tung-Striebel forward-backward smoother as an state estimator to compute the original optimal control problem. The new controllers are applied to trajectory-following problems of differential-drive mobile robots and compared with iterative linear quadratic regulator controller, nonlinear model predictive control, and approximate inference approaches. Simulations show that ERTS and URTS controllers produce almost optimal solutions with a significantly lower computing time, avoiding initialization issues in the other algorithms (in fact, they can be used to initialize them). This paper validates ERTS controller with an experiment of a Pioneer 3-DX mobile robot.
Year
DOI
Venue
2015
10.1109/TCST.2014.2377631
IEEE Transactions on Control Systems Technology
Keywords
Field
DocType
Optimal control,Trajectory,Estimation,Computational modeling,Smoothing methods,Mobile robots,Iterative methods
Mathematical optimization,Control theory,Optimal control,Control theory,Iterative method,Model predictive control,Control engineering,Duality (optimization),Linear-quadratic regulator,Mobile robot,Mathematics,Linearization
Journal
Volume
Issue
ISSN
PP
99
1063-6536
Citations 
PageRank 
References 
2
0.40
15
Authors
5
Name
Order
Citations
PageRank
Leopoldo Armesto115719.88
Vicent Girbés2244.92
A. Sala356233.44
Miroslav Zima420.40
Václav Smídl54510.25